In view of the stronger vulnerability of horizontally irregular structures during earthquakes, numerous studies have been made since mid-1950 s. Unfortunately, research progress in this subject does not appear encouraging. This is evident from the current wisdom embodied in modern codes in the form of design guidelines. Beginning with a critical review of the earlier works and the available code-provisions, the present paper emphasizes on the prevalent controversies and the fundamental fallacies in research studies and traditional design. The review intends to address the strength vis-a-vis weakness of the studies accomplished so far and helps streamlining future research. The present paper also summarizes the updated views for selecting and processing appropriate set of ground motions. This is a key input in seismic response assessment and a major reason of the existing controversies in the subject of asymmetry. A prognostic scrutiny of the research progress recognizes the prospective challenges ahead.
Issue Section:
Review Article
References
1.
Rosenblueth
, E.
, 1957
, “Consideration on Torsion, Overturning and Drift Limitations
,” SEAOC Conference
, Coronado, CA, pp. 36–38.2.
Housner
, G. W.
, and Outinen
, H.
, 1958
, “The Effect of Torsional Oscillations on Earthquake Stresses
,” Bull. Seismol. Soc. Am.
, 48
(7
), pp. 221
–229
.3.
Hart
, G. C.
, DiJulio
, R. M.
, Jr., and Lew
, M.
, 1975
, “Torsional Response of High-Rise Buildings
,” J. Struct. Eng.
, 101
(ST2
), pp. 397
–415
.4.
Chandler
, A. M.
, 1986
, “Building Damage in Mexico City Earthquake
,” Nature
, 320
(6062
), pp. 497
–501
.5.
Rosenblueth
, E.
, and Meli
, E.
, 1986
, “The 1985 Earthquake: Causes and Effects in Mexico City
,” Concr. Int.
, 8
(5
), pp. 23
–34
.6.
Esteva
, L.
, 1987
, “Earthquake Engineering Research and Practice in Mexico After the 1985 Earthquakes
,” Bull. N. Z. Natl. Soc. Earthquake Eng.
, 20
(3
), pp. 159
–200
.7.
Chandler
, A. M.
, Duan
, X. N.
, and Rutenberg
, A.
, 1996
, “Seismic Torsional Response: Assumptions, Controversies and Research Progress
,” Eur. Earthquake Eng.
, 10
(1
), pp. 37
–51
.8.
Jain
, S. K.
, Murthy
, C. V. R.
, Dayal
, U.
, Arlekar
, J. N.
, and Chaubey
, S. K.
, 2001
, “The Republic Day Earthquake in the Land of M. K. Gandhi, the Father of Nation
,” Department of Civil Engineering, Indian Institute of Technology
Kanpur, India.9.
Fujii
, K.
, 2016
, “A Brief Report of Uto City Office Building Damaged due to 2016 Kumamoto Earthquake
,” Chiba Institute of Technology, Tokyo, Japan.10.
Rutenberg
, A.
, 1992
, “Nonlinear Response of Asymmetric Building Structures and Seismic Codes: A State of the Art Review
,” Eur. Earthquake Eng.
, 6
(2
), pp. 3
–19
.11.
Rutenberg
, A.
, and Tso
, W. K.
, 2004
, “Horizontally Irregular Structures: Some Recent Developments
,” International Workshop on Performance-Based Seismic Design Concepts and Implementation
, Bled, Slovenia, pp. 369–383.12.
De Stefano
, M.
, and Pintucchi
, B.
, 2008
, “A Review of Research on Seismic Behaviour of Irregular Building Structures Since 2002
,” Bull. Earthquake Eng.
, 6
(2
), pp. 285
–308
.13.
Anagnostopoulos
, S. A.
, Kyrkos
, M. T.
, and Stathopoulos
, K. G.
, 2015
, “Earthquake Induced Torsion in Buildings: Critical Review and State of the Art
,” Earthquakes Struct.
, 8
(2
), pp. 305
–377
.14.
Chandler
, A. M.
, and Lam
, N. T. K.
, 2001
, “Performance-Based Design in Earthquake Engineering: A Multi-Disciplinary Review
,” Eng. Struct.
, 23
(12
), pp. 1525
–1543
.15.
Correnza
, J. C.
, Hutchinson
, G. L.
, and Chandler
, A. M.
, 1992
, “A Review of Reference Models for Assessing Inelastic Seismic Torsional Effects in Buildings
,” Soil Dyn. Earthquake Eng.
, 11
(8
), pp. 465
–484
.16.
Rutenberg
, A.
, and De Stefano
, M.
, 1997
, “On the Seismic Performance of Yielding Asymmetric Multi-Storey Buildings: A Review and a Case Study
,” International Workshop on Seismic Design Methodologies for the Next Generation of Codes
, P.
Fajfar
and H.
Krawinkler
, eds., Balkema Publishers, Slovenia, pp. 299
–310
.17.
Rutenberg
, A.
, 1998
, “EAEE Task Group (TG)8: Behaviour of Irregular and Complex Structures—State of the Art Report: Seismic Nonlinear Response of Code-Designed Asymmetric Structures
,” 11th European Conference on Earthquake Engineering
, Paris, p. 651.18.
Rutenberg
, A.
, 2002
, “EAEE Task Group (TG)8: Behaviour of Irregular and Complex Structures, Asymmetric Structures—Progress Since 1998
,” 12th European Conference on Earthquake Engineering
, London, Paper No. 832.19.
Goel
, R. K.
, 1998
, “Effects of Supplemental Viscous Damping on Seismic Response of Asymmetric-Plan Systems
,” Earthquake Eng. Struct. Dyn.
, 27
(2
), pp. 125
–141
.20.
Goel
, R. K.
, 2000
, “Seismic Behaviour of Asymmetric Buildings With Supplemental Damping
,” Earthquake Eng. Struct. Dyn.
, 29
(4
), pp. 461
–480
.21.
Goel
, R. K.
, and Booker
, C. A.
, 2001
, “Effects of Supplemental Viscous Damping on Inelastic Seismic Response of Asymmetric Systems
,” Earthquake Eng. Struct. Dyn.
, 30
(3
), pp. 411
–430
.22.
Lin
, W. H.
, and Chopra
, A. K.
, 2001
, “Understanding and Predicting Effects of Supplemental Viscous Damping on Seismic Response of Asymmetric One-Storey Systems
,” Earthquake Eng. Struct. Dyn.
, 30
(10
), pp. 1475
–1494
.23.
Kim
, J.
, and Bang
, S.
, 2002
, “Optimum Distribution of Added Viscoelastic Dampers for Mitigation of Torsional Responses of Plan-Wise Asymmetric Structures
,” Eng. Struct.
, 24
(10
), pp. 1257
–1269
.24.
Lin
, W. H.
, and Chopra
, A. K.
, 2003
, “Asymmetric One-Storey Elastic Systems With Non-Linear Viscous and Viscoelastic Dampers: Earthquake Response
,” Earthquake Eng. Struct. Dyn.
, 32
(4
), pp. 555
–577
.25.
Lin
, W. H.
, and Chopra
, A. K.
, 2003
, “Asymmetric One-Storey Elastic Systems With Non-Linear Viscous and Viscoelastic Dampers: Simplified Analysis and Supplemental Damping System Design
,” Earthquake Eng. Struct. Dyn.
, 32
(4
), pp. 579
–596
.26.
De la Llera
, J. C.
, Almazán
, J. L.
, and Vial
, I. J.
, 2005
, “Torsional Balance of Plan-Asymmetric Structures With Frictional Dampers: Analytical Results
,” Earthquake Eng. Struct. Dyn.
, 34
(9
), pp. 1089
–1108
.27.
Vial
, I. J.
, De la Llera
, J. C.
, Almazán
, J. L.
, and Caballos
, V.
, 2006
, “Torsional Balance of Plan-Asymmetric Structures With Frictional Dampers: Experimental Results
,” Earthquake Eng. Struct. Dyn.
, 35
(15
), pp. 1875
–1898
.28.
García
, M.
, De la Llera
, J. C.
, and Almazán
, J. L.
, 2007
, “Torsional Balance of Plan Asymmetric Structures With Viscoelastic Dampers
,” Eng. Struct.
, 29
(6
), pp. 914
–932
.29.
Almazán
, J. L.
, and De la Llera
, J. C.
, 2009
, “Torsional Balance as New Design Criterion for Asymmetric Structures With Energy Dissipation Devices
,” Earthquake Eng. Struct. Dyn.
, 38
(12
), pp. 1421
–1440
.30.
Lavan
, O.
, and Levy
, R.
, 2006
, “Optimal Peripheral Drift Control of 3D Irregular Framed Structures Using Supplemental Viscous Dampers
,” J. Earthquake Eng.
, 10
(6
), pp. 903
–923
.31.
Levy
, R.
, and Lavan
, O.
, 2006
, “Fully Stressed Design of Passive Controllers in Framed Structures for Seismic Loadings
,” Struct. Multidiscip. Optim.
, 32
(6
), pp. 485
–498
.32.
Lavan
, O.
, and Levy
, R.
, 2009
, “Simple Iterative Use of Lyapunov's Solution for the Linear Optimal Seismic Design of Passive Devices in Framed Buildings
,” J. Earthquake Eng.
, 13
(5
), pp. 650
–666
.33.
Almazán
, J. L.
, Espinoza
, G.
, and Aguirre
, J. J.
, 2012
, “Torsional Balance of Asymmetric Structures by Means of Tuned Mass Dampers
,” Eng. Struct.
, 42
, pp. 308
–328
.34.
Aguirre
, J. J.
, Almazán
, J. L.
, and Paul
, C. J.
, 2013
, “Optimal Control of Linear and Nonlinear Asymmetric Structures by Means of Passive Energy Dampers
,” Earthquake Eng. Struct. Dyn.
, 42
(3
), pp. 377
–395
.35.
Lavan
, O.
, and Daniel
, Y.
, 2013
, “Full Resources Utilization Seismic Design of Irregular Structures Using Multiple Tuned Mass Dampers
,” Struct. Multidiscip. Optim.
, 48
(3
), pp. 517
–532
.36.
Lavan
, O.
, and Amir
, O.
, 2014
, “Simultaneous Topology and Sizing Optimization of Viscous Dampers in Seismic Retrofitting of 3D Irregular Frame Structures
,” Earthquake Eng. Struct. Dyn.
, 43
(9
), pp. 1325
–1342
.37.
Daniel
, Y.
, and Lavan
, O.
, 2014
, “Gradient Based Optimal Seismic Retrofitting of 3D Irregular Buildings Using Multiple Tuned Mass Dampers
,” Comput. Struct.
, 139
, pp. 84
–97
.38.
Lavan
, O.
, 2015
, “Optimal Design of Viscous Dampers and Their Supporting Members for the Seismic Retrofitting of 3D Irregular Frame Structures
,” J. Struct. Eng.
, 141
(11
), p. 04015026
.39.
Pollini
, N.
, Lavan
, O.
, and Amir
, O.
, 2016
, “Towards Realistic Minimum-Cost Optimization of Viscous Dampers for Seismic Retrofitting
,” Bull. Earthquake Eng.
, 14
(3
), pp. 971
–998
.40.
Symans
, M. D.
, Charney
, F. A.
, Whittaker
, A. S.
, Constantinou
, M. C.
, Kircher
, C. A.
, Johnson
, M. W.
, and McNamara
, R. J.
, 2008
, “Energy Dissipation Systems for Seismic Applications: Current Practice and Recent Developments
,” J. Struct. Eng.
, 134
(1
), pp. 3
–21
.41.
Takewaki
, I.
, 2009
, Building Control With Passive Dampers: Optimal Performance-Based Design for Earthquakes
, Wiley
, Singapore.42.
Lavan
, O.
, and De Stefano
, M.
, eds., 2013
, Seismic Behaviour and Design of Irregular and Complex Civil Structures
(Geotechnical, Geological and Earthquake Engineering, Vol. 24
), Springer
, The Netherlands.43.
Zembaty
, Z.
, and De Stefano
, M.
, eds., 2015
, Seismic Behaviour and Design of Irregular and Complex Civil Structures
II (Geotechnical, Geological and Earthquake Engineering, Vol. 40
), Springer
, Switzerland.44.
Ayre
, R. S.
, 1938
, “Interconnection of Translational and Torsional Vibration in Structures
,” Bull. Seismol. Soc. Am.
, 28
(2
), pp. 89
–130
.45.
Bustamante
, J. I.
, and Rosenblueth
, E.
, 1960
, “Building Code Provisions on Torsional Oscillation
,” 2nd World Conference on Earthquake Engineering
, Tokyo and Kyoto, Japan, pp. 879–894.46.
Kan
, C. L.
, and Chopra
, A. K.
, 1977
, “Effects of Torsional Coupling on Earthquake Forces in Buildings
,” J. Struct. Eng.
, 103
(ST4
), pp. 805
–819
.47.
Dempsey
, K. M.
, and Irvine
, H. M.
, 1979
, “Envelopes of Maximum Seismic Response for a Partially Symmetric Single Storey Building Model
,” Earthquake Eng. Struct. Dyn.
, 7
(2
), pp. 161
–180
.48.
Chandler
, A. M.
, and Hutchinson
, G. L.
, 1986
, “Torsional Coupling Effects in the Earthquake Response of Asymmetric Buildings
,” Eng. Struct.
, 8
(4
), pp. 222
–236
.49.
Chandler
, A. M.
, and Hutchinson
, G. L.
, 1988
, “Evaluation of the Secondary Torsional Design Provisions of Earthquake Building Codes
,” Proc. Inst. Civ. Eng.
, 85
(4
), pp. 587
–607
.50.
Chandler
, A. M.
, and Hutchinson
, G. L.
, 1992
, “Effect of Structural Period and Ground Motion Parameters on the Earthquake Response of Asymmetric Buildings
,” Eng. Struct.
, 14
(6
), pp. 354
–360
.51.
Kung
, S. Y.
, and Pecknold
, D. A.
, 1984
, “Seismic Response of Torsionally Coupled Single-Storey Structures
,” 8th World Conference on Earthquake Engineering
, San Francisco, CA, pp. 235–242.52.
Kan
, C. L.
, and Chopra
, A. K.
, 1981
, “Torsional Coupling and Earthquake Response of Simple Elastic and Inelastic Systems
,” J. Struct. Eng.
, 107
(ST8
), pp. 1569
–1587
.53.
Kan
, C. L.
, and Chopra
, A. K.
, 1981
, “Simple Model for Earthquake Response Studies of Torsionally Coupled Buildings
,” J. Eng. Mech.
, 107
(EM5
), pp. 935
–951
.54.
Shyamal
, P. K.
, and Pekau
, O. A.
, 1985
, “Dynamic Response of Bilinear Asymmetric Structures
,” Earthquake Eng. Struct. Dyn.
, 13
(4
), pp. 527
–541
.55.
Annigeri
, S.
, Mittal
, A. K.
, and Jain
, A. K.
, 1996
, “Uncoupled Frequency Ratio in Asymmetric Buildings
,” Earthquake Eng. Struct. Dyn.
, 25
(8
), pp. 871
–881
.56.
Cardona
, R.
, and Esteva
, L.
, 1977
, “Static Analysis of Asymmetric Multi-Storey Structures
,” 6th World Conference on Earthquake Engineering
, New Delhi, India, pp. 1999–2004.57.
Kan
, C. L.
, and Chopra
, A. K.
, 1977
, “Elastic Earthquake Analysis of a Class of Torsionally Coupled Buildings
,” J. Struct. Eng.
, 103
(ST4
), pp. 821
–838
.58.
Kan
, C. L.
, and Chopra
, A. K.
, 1977
, “Elastic Earthquake Analysis of Torsionally Coupled Multi-Storey Buildings
,” Earthquake Eng. Struct. Dyn.
, 5
(4
), pp. 395
–412
.59.
Reinhorn
, A.
, Rutenberg
, A.
, and Glück
, J.
, 1977
, “Dynamic Torsional Coupling in Asymmetric Building Structures
,” Build. Environ.
, 12
(4
), pp. 251
–261
.60.
Rutenberg
, A.
, Hsu
, T. I.
, and Tso
, W. K.
, 1978
, “Response Spectrum Techniques for Asymmetric Buildings
,” Earthquake Eng. Struct. Dyn.
, 6
(5
), pp. 427
–435
.61.
Rosenblueth
, E.
, and Elorduy
, J.
, 1969
, “Responses of Linear Systems to Certain Transient Disturbances
,” 4th World Conference on Earthquake Engineering
, Santiago, Chile, Vol. A1, pp. 185–196.62.
Rosenblueth
, E.
, and Contreras
, H.
, 1977
, “Approximate Design for Multi-Component Earthquakes
,” J. Eng. Mech.
, 103
(5
), pp. 881
–893
.63.
Der Kiureghian
, A.
, 1979
, “On Response of Structures to Stationary Excitation
,” Earthquake Engineering Research Centre, California, Berkeley, Report No. EERC 79-32.64.
Anagnostopoulos
, S. A.
, 1981
, “Response Spectrum Techniques for Three Component Earthquake Design
,” Earthquake Eng. Struct. Dyn.
, 9
(5
), pp. 459
–476
.65.
Hejal
, R.
, and Chopra
, A. K.
, 1989
, “Earthquake Response of Torsionally Coupled Frame Buildings
,” J. Struct. Eng.
, 115
(4
), pp. 834
–851
.66.
Hejal
, R.
, and Chopra
, A. K.
, 1989
, “Lateral-Torsional Coupling in Earthquake Response of Frame Buildings
,” J. Struct. Eng.
, 115
(4
), pp. 852
–867
.67.
Hejal
, R.
, and Chopra
, A. K.
, 1989
, “Earthquake Analysis of a Class of Torsionally Coupled Buildings
,” Earthquake Eng. Struct. Dyn.
, 18
(3
), pp. 305
–323
.68.
Hejal
, R.
, and Chopra
, A. K.
, 1989
, “Response Spectrum Analysis of Class of Torsionally-Coupled Buildings
,” J. Eng. Mech.
, 115
(8
), pp. 1761
–1781
.69.
Tanabashi
, R.
, Kobori
, T.
, and Kaneta
, K.
, 1962
, “Nonlinear Torsional Vibration of Structures Due to an Earthquake
,” Disaster Prevention Research Institute, Kyoto University, Kyoto, Japan, Bulletin No. 56
.70.
Shiga
, T.
Shibata
, A.
, Onose
, J.
, and Haglo
, K.
, 1970
, “Torsional Response of Structures to Earthquake Motion
,” US-Japan Seminar on Earthquake Engineering, Sendai, Japan, 156–171.71.
Erdik
, M. O.
, 1975
, “Torsional Effects in Dynamically Excited Structures
,” Ph.D. thesis
, Rice University, Houston, TX.72.
Eisenberger
, M.
, and Rutenberg
, A.
, 1986
, “Seismic Base Isolation of Asymmetric Shear Buildings
,” Eng. Struct.
, 8
(1
), pp. 2
–8
.73.
Rutenberg
, A.
, Eisenberger
, M.
, and Shohet
, G.
, 1986
, “Reducing Seismic Ductility Demand in Asymmetric Shear Buildings
,” 8th Europethan Conference on Earthquake Engineering
, Lisbon, Portugal, Vol. 3, pp. 6–7.74.
Sadek
, A. W.
, and Tso
, W. K.
, 1989
, “Strength Eccentricity Concept Inelastic Analysis of Asymmetrical Structures
,” Eng. Struct.
, 11
(3
), pp. 189
–194
.75.
Goel
, R. K.
, and Chopra
, A. K.
, 1990
, “Inelastic Seismic Response of One-Storey, Asymmetric Plan Systems
,” Earthquake Engineering Research Centre, University of Califronia, Berkekey, CA, Report No. UCB/EERC-90/14.76.
Goel
, R. K.
, and Chopra
, A. K.
, 1990
, “Inelastic Seismic Response of One-Storey, Asymmetric Plan Systems: Effects of Stiffness and Strength Distribution
,” Earthquake Eng. Struct. Dyn.
, 19
(7
), pp. 949
–970
.77.
Humar
, J. L.
, and Kumar
, P.
, 1999
, “Effect of Orthogonal In-Plane Structural Elements on Inelastic Torsional Response
,” Earthquake Eng. Struct. Dyn.
, 28
(10
), pp. 1071
–1097
.78.
Duan
, X. N.
, and Chandler
, A. M.
, 1993
, “Inelastic Seismic Response of Code-Designed Multi-Storey Frame Buildings With Regular Asymmetry
,” Earthquake Eng. Struct. Dyn.
, 22
(5
), pp. 431
–445
.79.
Chandler
, A. M.
, and Duan
, X. N.
, 1993
, “A Modified Static Procedure for the Design of Torsionally Unbalanced Multi-Storey Frame Buildings
,” Earthquake Eng. Struct. Dyn.
, 22
(5
), pp. 447
–462
.80.
Ghersi
, A.
, Marino
, E. M.
, and Rossi
, P. P.
, 1999
, “From One-Storey to Multi-Storey Asymmetric Systems: Conceptual Differences and Problems
,” 2nd European Workshop on Seismic Behaviour of Asymmetric and Set-Back Structures
, Karadogan
, F.
, and Rutenberg
, A.
, eds., Istanbul, Turkey, pp. 195–207.81.
De la Llera
, J. C.
, and Chopra
, A. K.
, 1996
, “Inelastic Behaviour of Asymmetric Multi-Storey Buildings
,” J. Struct. Eng.
, 122
(6
), pp. 597
–606
.82.
Kan
, C. L.
, and Chopra
, A. K.
, 1979
, “Linear and Nonlinear Earthquake Response of Simple Torsionally Coupled Systems
,” Earthquake Engineering Research Centre, University of California, Berkeley, CA, Report No. UCB/EERC-79/03.83.
Palazzo
, B.
, and Fraternali
, F.
, 1988
, “Seismic Ductility Demand in Buildings Irregular in Plan: A New Single Storey Monlinear Model
,” 9th World Conference on Earthquake Engineering
, Tokyo-Kyoto, Japan, Aug. 2–9, Vol. 5, pp. 43–49.84.
Irvine
, H. M.
, and Kountouris
, G. E.
, 1979
, “Inelastic Seismic Response of Torsionally Unbalanced Single Storey Building Models
,” Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA, Publication No. R79-31
.85.
Irvine
, H. M.
, and Kountouris
, G. E.
, 1980
, “Peak Ductility Demands in Simple Torsionally Unbalanced Buildings Model is Subjected to Earthquake Excitation
,” 7th World Conference on Earthquake Engineering
, Istanbul, Turkey, pp. 117–120.86.
Tso
, W. K.
, and Sadek
, A. W.
, 1984
, “Inelastic Response of Eccentric Buildings to Bidirectional Ground Motion
,” 8th World Conference on Earthquake Engineering
, San Francisco, CA, pp. 203–210.87.
Tso
, W. K.
, and Sadek
, A. W.
, 1985
, “Inelastic Response of Simple Eccentric Structures
,” Earthquake Eng. Struct. Dyn.
, 13
(2
), pp. 255
–269
.88.
Tso
, W. K.
, and Bozorgnia
, Y.
, 1986
, “Effective Eccentricity for Inelastic Response of Buildings
,” Earthquake Eng. Struct. Dyn.
, 14
(3
), pp. 413
–427
.89.
Bozorgnia
, Y.
, and Tso
, W. K.
, 1986
, “Inelastic Earthquake Response of Asymmetric Structures
,” J. Struct. Eng.
, 112
(2
), pp. 383
–400
.90.
Mahin
, S. A.
, and Bertero
, V. V.
, 1981
, “An Evaluation of Inelastic Seismic Design Spectra
,” J. Struct. Eng.
, 107
(9
), pp. 1777
–1795
.91.
Chandler
, A. M.
, Correnza
, J. C.
, and Hutchinson
, G. L.
, 1996
, “Seismic Torsional Provisions: Influence on Element Energy Dissipation
,” J. Struct. Eng.
, 122
(5
), pp. 494
–508
.92.
Goel
, R. K.
, 1997
, “Seismic Response of Asymmetric Systems: Energy-Based Approach
,” J. Struct. Eng.
, 123
(11
), pp. 1444
–1453
.93.
Loh
, C. H.
, and Ho
, R. C.
, 1990
, “Seismic Damage Assessment Based on Different Hysteretic Rules
,” Earthquake Eng. Struct. Dyn.
, 19
(5
), pp. 753
–771
.94.
Chakroborty
, S.
, 2016
, “Inelastic Seismic Behavior of Plan-Asymmetric Structures: Implications of Strength-Dependent Stiffness, Spectral Matching of Accelerogram and Strong Motion Characteristics
,” Ph.D. thesis, Indian Institute of Engineering Science and Technology, Shibpur, India.95.
Stathopoulos
, K. G.
, and Anagnostopoulos
, S. A.
, 2002
, “Inelastic Earthquake Induced Torsion in Buildings: Results and Conclusions From Realistic Models
,” 12th European Conference on Earthquake Engineering
, London.96.
Stathopoulos
, K. G.
, and Anagnostopoulos
, S. A.
, 2004
, “Earthquake Induced Inelastic Torsion in Asymmetric Multi-Storey Buildings
,” 13th World Conference on Earthquake Engineering
, Vancouver, Canada Aug. 1–6, Paper No. 558.97.
Stathopoulos
, K. G.
, and Anagnostopoulos
, S. A.
, 2005
, “Inelastic Torsion of Multi-Storey Buildings Under Earthquake Excitations
,” Earthquake Eng. Struct. Dyn.
, 34
(12
), pp. 1449
–1465
.98.
Ayala
, A. G.
, and Perez
, R.
, 2005
, “Seismic Behaviour of RC Buildings With Setbacks Designed to EC8
,” 4th European Workshop on the Seismic Behaviour of Irregular and Complex Structures
, CD-ROM, Thessaloniki, Greece.99.
De Stefano
, M.
, Marino
, E. M.
, and Rossi
, P. P.
, 2006
, “Effect of Overstrength on the Seismic Behaviour of Multi-Storey Regularly Asymmetric Buildings
,” Bull. Earthquake Eng.
, 4
(1
), pp. 23
–42
.100.
Stathopoulos
, K. G.
, and Anagnostopoulos
, S. A.
, 2003
, “Inelastic Earthquake Response of Single Storey Asymmetric Buildings: An Assessment of Simplified Shear-Beam Models
,” Earthquake Eng. Struct. Dyn.
, 32
(12
), pp. 1813
–1831
.101.
Anagnostopoulos
, S. A.
, Alexopoulou
, C.
, and Stathopoulos
, K. G.
, 2010
, “An Answer to an Important Controversy and the Need for Caution When Using Simple Models to Predict Inelastic Earthquake Response of Buildings With Torsion
,” Earthquake Eng. Struct. Dyn.
, 39
(5
), pp. 521
–540
.102.
Kosmopoulos
, A. J.
, and Fardis
, M. N.
, 2007
, “Estimation of Inelastic Seismic Deformations in Asymmetric Multi-Storey RC Buildings
,” Earthquake Eng. Struct. Dyn.
, 36
(9
), pp. 1209
–1234
.103.
Fernandez-Davila
, V. I.
, and Cruz
, E. F.
, 2008
, “Estimating Inelastic Bi-Directional Seismic Response of Multi-Storey Asymmetric Buildings Using a Set of Combination Rules
,” , Beijing, China, Oct. 12–17.104.
Perus
, I.
, and Fajfar
, P.
, 2005
, “On the Inelastic Torsional Response of Single-Storey Structures Under Biaxial Excitation
,” Earthquake Eng. Struct. Dyn.
, 34
(8
), pp. 931
–941
.105.
De Stefano
, M.
, and Pintucchi
, B.
, 2002
, “A Model for Analyzing Inelastic Seismic Response of Plan-Irregular Building Structures
,” 15th ASCE
Engineering Mechanics Conference
, Columbia University, New York.106.
Erduran
, E.
, and Ryan
, K. L.
, 2011
, “Effects of Torsion on the Behaviour of Peripheral Steel-Braced Frame Systems
,” Earthquake Eng. Struct. Dyn.
, 40
(5
), pp. 491
–507
.107.
Dutta
, S. C.
, and Roy
, R.
, 2012
, “Seismic Demand of Low-Rise Multi-Storey Systems With General Asymmetry
,” J. Eng. Mech.
, 138
(1
), pp. 1
–11
.108.
Dutta
, S. C.
, 2001
, “Effect of Strength Deterioration on Inelastic Seismic Torsional Behaviour of Asymmetric RC Buildings
,” Build. Environ.
, 36
(10
), pp. 1109
–1118
.109.
Dutta
, S. C.
, and Das
, P. K.
, 2002
, “Inelastic Seismic Response of Code-Designed Reinforced Concrete Asymmetric Buildings With Strength Degradation
,” Eng. Struct.
, 24
(10
), pp. 1295
–1314
.110.
Dutta
, S. C.
, and Das
, P. K.
, 2002
, “Validity and Applicability of Two Simple Models to Assess Progressive Seismic Damage in RC Asymmetric Buildings
,” J. Sound Vib.
, 257
(4
), pp. 753
–777
.111.
Dutta
, S. C.
, Das
, P. K.
, and Roy
, R.
, 2005
, “Seismic Behavior of Code-Designed Bi-Directionally Eccentric Systems
,” J. Struct. Eng.
, 131
(10
), pp. 1497
–1514
.112.
Tso
, W. K.
, and Myslimaj
, B.
, 2002
, “Effect of Strength Distribution on the Inelastic Torsional Response of Asymmetric Structural Systems
,” 12th European Conference on Earthquake Engineering
, CD-ROM
, London
.113.
Pettinga
, D.
, Pampanin
, S.
, Christopoulos
, C.
, and Priestley
, M. J. N.
, 2005
, “Effects of Irregularities on the Residual Displacements of Structures Subjected to Inelastic Torsional Response
,” 4th European Workshop on the Seismic Behaviour of Irregular and Complex Structures
, CD-ROM, Thessaloniki, Greece.114.
Pettinga
, J. D.
, Priestley
, M. J. N.
, Pampanin
, S.
, and Christopoulos
, C.
, 2007
, “The Role of Inelastic Torsion in the Determination of Residual Deformations
,” J. Earthquake Eng.
, 11
(S1
), pp. 133
–157
.115.
Karimiyan
, S.
, Moghadam
, A. S.
, and Vetr
, M. G.
, 2013
, “Seismic Progressive Collapse Assessment of 3-Storey RC Moment Resisting Buildings With Different Levels of Eccentricity in Plan
,” Earthquakes Struct.
, 5
(3
), pp. 277
–296
.116.
Karimiyan
, S.
, Moghadam
, A. S.
, Karimiyan
, M.
, and Kashan
, A. H.
, 2013
, “Seismic Collapse Propagation in 6-Storey RC Regular and Irregular Buildings
,” Earthquakes Struct.
, 5
(6
), pp. 753
–779
.117.
Karimiyan
, S.
, Kashan
, A. H.
, and Karimiyan
, M.
, 2014
, “Progressive Collapse Vulnerability in 6-Storey RC Symmetric and Asymmetric Buildings Under Earthquake Loads
,” Earthquakes Struct.
, 6
(5
), pp. 473
–494
.118.
Kilar
, V.
, and Fajfar
, P.
, 2002
, “Seismic Analysis of Eccentric RC Buildings by the N2 Methods
,” 3rd European Workshop on the Seismic Behaviour of Irregular and Complex Structures
, CD-ROM, Florence, Italy.119.
Chopra
, A. K.
, and Goel
, R. K.
, 2002
, “A Modal Pushover Analysis Procedure for Estimating Seismic Demands for Buildings
,” Earthquake Eng. Struct. Dyn.
, 31
(3
), pp. 561
–582
.120.
Chopra
, A. K.
, and Goel
, R. K.
, 2004
, “A Modal Pushover Analysis Procedure to Estimate Seismic Demands for Unsymmetric-Plan Buildings
,” Earthquake Eng. Struct. Dyn.
, 33
(8
), pp. 903
–927
.121.
Fajfar
, P.
, Marusic
, D.
, and Perus
, I.
, 2005
, “The Extension of the N2 Method to Asymmetric Buildings
,” 4th European Workshop on the Seismic Behaviour of Irregular and Complex Structures
, Thessaloniki, Greece.122.
Penelis
, G. G.
, and Kappos
, A. J.
, 2002
, “3D Push-Over Analysis: The Issue of Torsion
,” 12th European Conference on Earthquake Engineering
, Thessaloniki, Greece, Paper No. 015.123.
Hong
, H. P.
, 2013
, “Torsional Responses Under Bidirectional Seismic Excitations: Effect of Instantaneous Load Eccentricities
,” J. Struct. Eng.
, 139
(1
), pp. 133
–143
.124.
MacRae
, G.
, and Mattheis
, J.
, 2000
, “Three-Dimensional Steel Building Response to Near-Fault Motions
,” J. Struct. Eng.
, 126
(1
), pp. 117
–126
.125.
Rigato
, A. B.
, and Medina
, R. A.
, 2007
, “Influence of Angle of Incidence on Seismic Demands for Inelastic Single Storey Structures Subjected to Bi-Directional Ground Motions
,” Eng. Struct.
, 29
(10
), pp. 2593
–2601
.126.
Kalkan
, E.
, and Kwong
, N.
, 2014
, “Pros and Cons of Rotating Ground Motion Records to Fault-Normal/Parallel Directions for Response History Analysis of Buildings
,” J. Struct. Eng., ASCE
, 140
(3
), p. 04013062
.127.
Magliulo
, G.
, Maddaloni
, G.
, and Petrone
, C.
, 2014
, “Influence of Earthquake Direction on the Seismic Response of Irregular Plan RC Frame Buildings
,” Earthquake Eng. Eng. Vib.
, 13
(2
), pp. 243
–256
.128.
Alexander
, N. A.
, 2007
, “The Role of Phase Difference Components of Ground Motions in the Torsional Response of Asymmetric Buildings
,” Earthquake Eng. Struct. Dyn.
, 36
(10
), pp. 1385
–1406
.129.
IAEE
, 2000
, “Regulation for Seismic Design—A World List
,” International Association of Earthquake Engineering, Tokyo, Japan.130.
Roy
, R.
, 2009
, “Inelastic Seismic Behaviour of Multi-Storied Structures Highlighting the Effects of Asymmetry, Soil-Flexibility, Degradation and Blast Loading
,” Ph.D. thesis, Department of Civil Engineering, Bengal Engineering and Science University, Shibpur, India.131.
Anagnostopoulos
, S. A.
, Kyrkos
, M. T.
, Papalymperi
, A.
, and Plevri
, E.
, 2015
, “Should Accidental Eccentricity be Eliminated From Eurocode 8?
” Earthquakes Struct.
, 8
(2
), pp. 463
–484
.132.
Poole
, R. A.
, 1977
, “Analysis for Torsion Employing Provisions of NZRS 4203 1974
,” Bull. N. Z. Soc. Earthquake Eng.
, 10
(4
), pp. 219
–225
.133.
Humar
, J. L.
, 1984
, “Design for Seismic Torsional Forces
,” Can. J. Civil Eng.
, 11
(2
), pp. 150
–163
.134.
Riddell
, R.
, and Vasquez
, J.
, 1984
, “Existence of Centres Resistance and Torsional Uncoupling of Earthquake Response of Buildings
,” 8th World Conference on Earthquake Engineering
, San Francisco, CA, July 21–28, pp. 187–194.135.
Smith
, B. S.
, and Vezina
, S.
, 1985
, “Evaluation of Centres of Resistance in Multi-Storey Building Structures
,” Proc. Inst. Civil Eng. (Part II)
, 79
(4
), pp. 623
–635
.136.
Cheung
, V. W. T.
, and Tso
, W. K.
, 1986
, “Eccentricity in Irregular Multi-Storey Building
,” Can. J. Civil Eng.
, 13
(1
), pp. 46
–52
.137.
Tso
, W. K.
, 1990
, “Static Eccentricity Concept for Torsional Moment Estimations
,” J. Struct. Eng.
, 116
(5
), pp. 1199
–1212
.138.
Jiang
, W.
, Hutchinson
, G. L.
, and Chandler
, A. M.
, 1993
, “Definitions of Static Eccentricity for Design of Asymmetric Shear Buildings
,” Eng. Struct.
, 15
(3
), pp. 167
–178
.139.
Makarios
, T.
, and Anastasiadis
, K.
, 1998
, “Real and Fictitious Elastic Axes of Multi-Storey Buildings: Theory
,” Struct. Des. Tall Build.
, 7
(1
), pp. 33
–55
.140.
Makarios
, T.
, and Anastasiadis
, K.
, 1998
, “Real and Fictitious Elastic Axes of Multi-Storey Buildings: Applications
,” Struct. Des. Tall Build.
, 7
(1
), pp. 57
–71
.141.
Makarios
, T.
, 2005
, “Optimum Torsion Axis to Multi-Storey Buildings by Using the Continuous Model of the Structure
,” Struct. Des. Tall Spec. Build.
, 14
(1
), pp. 69
–90
.142.
Makarios
, T.
, 2008
, “Practical Calculation of the Torsional Stiffness Radius of Multi-Storey Buildings
,” Struct. Des. Tall Spec. Build.
, 17
(1
), pp. 39
–65
.143.
Marino
, E. M.
, and Rossi
, P. P.
, 2004
, “Exact Evaluation of the Location of the Optimum Torsion Axis
,” Struct. Des. Tall Spec. Build.
, 13
(4
), pp. 277
–290
.144.
Georgoussis
, G.
, 2009
, “An Alternative Approach for Assessing Eccentricities in Asymmetric Multi-Storey Buildings: 1. Elastic Systems
,” Struct. Des. Tall Spec. Build.
, 18
(2
), pp. 181
–202
.145.
Georgoussis
, G.
, 2010
, “Modal Rigidity Centre: It's Use for Assessing Elastic Torsion in Asymmetric Buildings
,” Earthquakes Struct.
, 1
(2
), pp. 163
–175
.146.
Georgoussis
, G.
, 2014
, “Modified Seismic Analysis of Multi-Storey Asymmetric Elastic Buildings and Suggestions for Minimizing the Rotational Response
,” Earthquakes Struct.
, 7
(1
), pp. 39
–55
.147.
Basu
, D.
, and Jain
, S. K.
, 2007
, “Alternative Method to Locate Center of Rigidity in Asymmetric Buildings
,” Earthquake Eng. Struct. Dyn.
, 36
(7
), pp. 965
–973
.148.
Roy
, R.
, and Mahato
, S.
, 2013
, “Equivalent Lateral Force Method for Buildings With Setback: Adequacy in Elastic Range
,” Earthquakes Struct.
, 4
(6
), pp. 685
–710
.149.
Harasimowicz
, A. P.
, and Goel
, R. K.
, 1998
, “Seismic Code Analysis of Multi-Storey Asymmetric Buildings
,” Earthquake Eng. Struct. Dyn.
, 27
(2
), pp. 173
–185
.150.
Goel
, R. K.
, and Chopra
, A. K.
, 1993
, “Seismic Code Analysis of Buildings Without Locating Centres of Rigidity
,” J. Struct. Eng.
, 119
(10
), pp. 3039
–3055
.151.
Tso
, W. K.
, and Dempsey
, K. M.
, 1980
, “Seismic Torsional Provisions for Dynamic Eccentricity
,” Earthquake Eng. Struct. Dyn.
, 8
(3
), pp. 275
–289
.152.
Tsicinias
, T. G.
, and Hutchinson
, G. L.
, 1981
, “Evaluation of Code Requirements for the Earthquake-Resistance Design of Torsionally Coupled Buildings
,” Proc. Inst. Civil Eng.
, 71
(3
), pp. 821
–843
.153.
Tsicinias
, T. G.
, and Hutchinson
, G. L.
, 1982
, “Evaluation of Code Torsional Provisions for Earthquake Resistant Design of Single Storey Buildings With Two Eccentricity Components
,” Proc. Inst. Civil Eng.
, 73
(2
), pp. 455
–464
.154.
Dempsey
, K. M.
, and Tso
, W. K.
, 1982
, “An Alternative Path to Seismic Torsional Provisions
,” Soil Dyn. Earthquake Eng.
, 1
(1
), pp. 3
–10
.155.
Chandler
, A. M.
, and Hutchinson
, G. L.
, 1987
, “Evaluation of Code-Torsional Provisions by a Time History Approach
,” Earthquake Eng. Struct. Dyn.
, 15
(4
), pp. 491
–516
.156.
Chandler
, A. M.
, and Hutchinson
, G. L.
, 1987
, “Code Design Provisions for Torsionally Coupled Buildings on Elastic Foundation
,” Earthquake Eng. Struct. Dyn.
, 15
(4
), pp. 517
–536
.157.
Rutenberg
, A.
, and Pekau
, O. A.
, 1987
, “Seismic Code Provisions for Asymmetric Structures: A Re-Evaluation
,” Eng. Struct.
, 9
(4
), pp. 255
–264
.158.
Rutenberg
, A.
, and Pekau
, O. A.
, 1989
, “Seismic Code Provisions for Asymmetric Structures: Low Period Systems
,” Eng. Struct.
, 11
(2
), pp. 92
–96
.159.
Chopra
, A. K.
, and Goel
, R. K.
, 1991
, “Evaluation of Torsional Provisions in Seismic Codes
,” J. Struct. Eng.
, 117
(12
), pp. 3762
–3782
.160.
Rady
, M. A.
, and Hutchinson
, G. L.
, 1988
, “Evaluation of Dynamic Eccentricities Obtained Using a Probabilistic Approach, Response Spectrum Methods and Modern Building Codes
,” Earthquake Eng. Struct. Dyn.
, 16
(2
), pp. 275
–291
.161.
Escobar
, J. A.
, and Ayala
, A. G.
, 1998
, “Yielding Seismic Response of Code-Designed Single Storey Asymmentric Structures
,” Earthquake Eng. Struct. Dyn.
, 27
(6
), pp. 525
–541
.162.
Ghersi
, A.
, and Rossi
, P. P.
, 2000
, “Formulation of Design Eccentricity to Reduce Ductility Demand in Asymmetric Buildings
,” Eng. Struct.
, 22
(7
), pp. 857
–871
.163.
Hidalgo
, P. A.
, Arias
, A.
, and Cruz
, E. F.
, 1992
, “A Comparison of Analysis Provisions in Seismic Codes
,” 10th World Conference on Earthquake Engineering
, Madrid, Spain, pp. 5741–5746.164.
Correnza
, J. C.
, Hutchinson
, G. L.
, and Chandler
, A. M.
, 1995
, “Seismic Response of Flexible-Edge Elements in Code-Designed Torsionally Unbalanced Structures
,” Eng. Struct.
, 17
(3
), pp. 158
–166
.165.
Ghersi
, A.
, and Rossi
, P. P.
, 2006
, “Influence of Design Procedures on the Seismic Response of Bi-Eccentric Plan-Asymmetric Systems
,” Struct. Des. Tall Build.
, 15
(4
), pp. 467
–480
.166.
Anastasiadis
, K.
, Athanatopoulou
, A.
, and Makarios
, T.
, 1998
, “Equivalent Static Eccentricities in the Simplified Methods of Seismic Analysis of Buildings
,” Earthquake Spectra
, 14
(1
), pp. 1
–34
.167.
Moghadam
, A. S.
, and Tso
, W. K.
, 2000
, “Pushover Analysis for Asymmetric and Multi-Storey Setback Buildings
,” CD-ROM, 12th World Conference on Earthquake Engineering
, Auckland, New Zealand, Paper No. 1093.168.
Paulay
, T.
, 1997
, “Are Existing Seismic Torsion Provisions Achieving the Design Aims?
,” Earthquake Spectra
, 13
(2
), pp. 259
–279
.169.
Bommer
, J. J.
, and Ruggeri
, C.
, 2002
, “The Specification of Acceleration Time-Histories in Seismic Design Codes
,” Eur. Earthquake Eng.
, 16
(1
), pp. 3
–17
.170.
Beyer
, K.
, and Bommer
, J. J.
, 2007
, “Selection and Scaling of Real Accelerograms for Bi-Directional Loading: A Review of Current Practice and Code Provisions
,” J. Earthquake Eng.
, 11
(S1
), pp. 13
–45
.171.
Kalkan
, E.
, and Kunnath
, S. K.
, 2006
, “Effects of Fling Step and Forward Directivity on Seismic Response of Buildings
,” Earthquake Spectra
, 22
(2
), pp. 367
–390
.172.
Myslimaj
, B.
, and Tso
, W. K.
, 2004
, “Desirable Strength Distribution for Asymmetric Structures With Strength-Stiffness Dependent Elements
,” J. Earthquake Eng.
, 8
(2
), pp. 231
–248
.173.
Correnza
, J. C.
, Hutchinson
, G. L.
, and Chandler
, A. M.
, 1994
, “Effect of Transverse Load-Resisting Elements on Inelastic Earthquake Response of Eccentric-Plan Buildings
,” Earthquake Eng. Struct. Dyn.
, 23
(1
), pp. 75
–90
.174.
De Stefano
, M.
, and Rutenberg
, A.
, 1999
, “Seismic Stability and the Force Reduction Factor of Code-Designed One-Storey Asymmetric Structures
,” Earthquake Eng. Struct. Dyn.
, 28
(7
), pp. 785
–803
.175.
Hernandez
, J. J.
, and Lopez
, O. A.
, 2000
, “Influence of Bidirectional Seismic Motion on the Response of Asymmetric Buildings
,” 12th World Conference on Earthquake Engineering
, Auckland, New Zealand, Paper No. 1813.176.
Boore
, D.
, and Bommer
, J. J.
, 2005
, “Processing of Strong Motion Accelerograms: Needs, Options and Consequences
,” Soil Dyn. Earthquake Eng.
, 25
(2
), pp. 93
–115
.177.
Katsanos
, E. I.
, Sextos
, A. G.
, and Manolis
, G. D.
, 2010
, “Selection of Earthquake Ground Motion Records: A State-of-the-Art Review From a Structural Engineering Perspective
,” Soil Dyn. Earthquake Eng.
, 30
(4
), pp. 157
–169
.178.
ATC-58 (50% Draft)
(2009
), “Guidelines for Seismic Performance Assessment of Buildings
,” Applied Technology Council, Redwood City, CA.179.
NIST
, 2011
, “Selecting and Scaling Earthquake Ground Motions for Performing Response-History Analyses
,” National Institute of Standards and Technology, U.S. Department of Commerce, Gaithersburg, MD, Standard No. NIST GCR 11-917-15.180.
Priestley
, M. J. N.
, 2000
, “Performance Based Seismic Design
,” 12th World Conference on Earthquake Engineering
, Auckland, New Zealand, Paper No. 2831.181.
Priestley
, M. J. N.
, Calvi
, G. M.
, and Kowalsky
, M. J.
, 2007
, Displacement-Based Seismic Design of Structures
, IUSS Press
, Pavia, Italy
.182.
Aschheim
, M.
, 2002
, “Seismic Design Based on the Yield Displacement
,” Earthquake Spectra
, 18
(4
), pp. 581
–600
.183.
Smith
, R. S. H.
, and Tso
, W. K.
, 2002
, “Inconsistency of Forced-Based Design Procedure
,” J. Seismol. Earthquake Eng.
, 4
(1
), pp. 47
–54
.184.
Tjhin
, T.
, Aschheim
, M.
, and Wallace
, J.
, 2007
, “Yield Displacement-Based Seismic Design of RC Wall Buildings
,” Eng. Struct.
, 29
(11
), pp. 2946
–2959
.185.
Paulay
, T.
, 1996
, “Seismic Design for Torsional Response of Ductile Buildings
,” Bull. N. Z. Natl. Soc. Earthquake Eng.
, 29
(3
), pp. 178
–198
.186.
Paulay
, T.
, 1997
, “A Review of Code Provisions for Torsional Seismic Effects in Buildings
,” Bull. N. Z. Natl. Soc. Earthquake Eng.
, 30
(3
), pp. 252
–263
.187.
Paulay
, T.
, 1997
, “Displacement-Based Design Approach to Earthquake-Induced Torsion in Ductile Buildings
,” Eng. Struct.
, 19
(9
), pp. 699
–707
.188.
Paulay
, T.
, 1997
, “Seismic Torsional Effects on Ductile Structural Wall Systems
,” J. Earthquake Eng.
, 1
(4), pp. 721
–745
.189.
Paulay
, T.
, 1998
, “Torsional Mechanisms in Ductile Building Systems
,” Earthquake Eng. Struct. Dyn.
, 27
(10
), pp. 1101
–1121
.190.
Paulay
, T.
, 2000
, “A Simple Displacement Compatibility-Based Seismic Design Strategy for Reinforced Concrete Buildings
,” 12th World Conference on Earthquake Engineering
, Auckland, New Zealand, Paper No. 0062.191.
Paulay
, T.
, 2000
, “Understanding Torsional Phenomena in Ductile Systems
,” Bull. N. Z. Natl. Soc. Earthquake Eng.
, 33
(4
), pp. 403
–420
.192.
Paulay
, T.
, 2001
, “Some Design Principles Relevant to Torsional Phenomena in Ductile Buildings
,” J. Earthquake Eng.
, 5
(3
), pp. 273
–308
.193.
Paulay
, T.
, 2001
, “A Re-Definition of the Stiffness of Reinforced Concrete Elements and Its Implications in Seismic Design
,” Struct. Eng. Int.
, 11
(1
), pp. 36
–41
.194.
Crisafulli
, F.
, Reboredo
, A.
, and Torrisi
, G.
, 2004
, “Consideration of Torsional Effects in the Displacement Control of Ductile Buildings
,” 13th World Conference on Earthquake Engineering
, Vancouver, BC, Canada, Paper No. 1111.195.
Sommer
, A.
, and Bachmann
, H.
, 2005
, “Seismic Behaviour of Asymmetric RC Wall Buildings: Principles and New Deformation-Based Design Methods
,” Earthquake Eng. Struct. Dyn.
, 34
(2
), pp. 101
–124
.196.
Myslimaj
, B.
, and Tso
, W. K.
, 2002
, “A Strength Distribution Criterion for Minimizing Torsional Response of Asymmetric Wall-Type Systems
,” Earthquake Eng. Struct. Dyn.
, 31
(1
), pp. 99
–120
.197.
Tso
, W. K.
, and Myslimaj
, B.
, 2003
, “A Yield Displacement Distribution-Based Approach for Strength Assignment to Lateral Force-Resisting Elements Having Strength Dependent Stiffness
,” Earthquake Eng. Struct. Dyn.
, 32
(15
), pp. 2319
–2351
.198.
Myslimaj
, B.
, and Tso
, W. K.
, 2005
, “A Design-Orineted Approach to Strength Distribution on Single-Storey Asymmetric Systems With Elements Having Strength-Dependent Stiffness
,” Earthquake Spectra
, 21
(1
), pp. 197
–212
.199.
Roy
, R.
, and Chakroborty
, S.
, 2013
, “Seismic Demand of Plan-Asymmetric Structures: A Revisit
,” Earthquake Eng. Eng. Vib.
, 12
(1
), pp. 99
–117
.200.
Beyer
, K.
, Dazio
, A.
, and Priestley
, M. J. N.
, 2007
, “Seismic Design of Torsionally Eccentric Buildings With U-Shaped RC Walls
,” Research Report ROSE 2008/03
, IUSS Press
, Pavia, Italy.201.
Paparo
, A.
, Landi
, L.
, and Diotallevi
, P. P.
, 2012
, “Extension of Direct Displacement-Based Design to Plan-Asymmetric RC Frame Buildings
,” J. Civil Eng. Archit.
, 6
(10
), pp. 1280
–1291
.202.
Wilkinson
, P. J.
, and Lavan
, O.
, 2013
, “A Modal Displacement Based Approach for the Seismic Design of One Way Asymmetric Multi Story Buildings
,” 2013 World Congress on Advances in Structural Engineering and Mechanics
(ASEM13
), Jeju Island, Korea, Sept. 8–12, pp. 3501–3518.203.
Wilkinson
, P. J.
, and Lavan
, O.
, 2015
, “Practical Modal Pushover Design of One-Way Asymmetric-Plan Reinforced Concrete Wall Buildings for Unidirectional Ground Motion
,” Bull. Earthquake Eng.
, 13
(10
), pp. 2915
–2944
.204.
Anagnostopoulos
, S. A.
, Alexopoulou
, C.
, and Stathopoulos
, K. G.
, 2008
, “Are Results for Inelastic Torsion in Buildings Based on Simplified, One-Storey, Shear Beam Models, Applicable to Actual Multi-Storey Buildings?
,” 5th European Workshop on the Seismic Behaviour of Irregular and Complex Structures
, Catania, Italy, Sept 16–17.205.
Anagnostopoulos
, S. A.
, Alexopoulou
, C.
, and Stathopoulos
, K. G.
, 2009
, “An Answer to a Persisting Controversy in Earthquake Resistant Design of Asymmetric Buildings for Torsion
,” ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2009
), Rhodes, Greece, June 22–24.206.
Humar
, J. L.
, and Kumar
, P.
, 1998
, “Torsional Motion of Buildings During Earthquakes. I. Elastic Response
,” Can. J. Civil Eng.
, 25
(5
), pp. 898
–916
.207.
Humar
, J. L.
, and Kumar
, P.
, 1998
, “Torsional Motion of Buildings During Earthquakes. II. Inelastic Response
,” Can. J. Civil Eng.
, 25
(5
), pp. 917
–934
.208.
Chandler
, A. M.
, Correnza
, J. C.
, and Hutchinson
, G. L.
, 1994
, “Period-Dependent Effects in Seismic Torsional Response of Code Systems
,” J. Struct. Eng.
, 120
(12
), pp. 3418
–3434
.209.
Goel
, R. K.
, and Chopra
, A. K.
, 1991
, “Effects of Plan Asymmetry in the Inelastic Seismic Response of One-Storey Systems
,” J. Struct. Eng.
, 117
(5
), pp. 1492
–1513
.210.
Goel
, R. K.
, and Chopra
, A. K.
, 1991
, “Inelastic Seismic Response of One-Storey, Asymmetric-Plan Systems: Effects of System Parameters and Yielding
,” Earthquake Eng. Struct. Dyn.
, 20
(3
), pp. 201
–222
.211.
Goel
, R. K.
, and Chopra
, A. K.
, 1994
, “Dual-Level Approach for Seismic Design of Asymmetric-Plan Buildings
,” J. Struct. Eng.
, 120
(1
), pp. 161
–179
.212.
Jiang
, W.
, Hutchinson
, G. L.
, and Wilson
, J. L.
, 1996
, “Inelastic Torsional Coupling of Building Models
,” Eng. Struct.
, 18
(4
), pp. 228
–300
.213.
Basu
, D.
, and Jain
S. K.
, 2004
, “Seismic Analysis of Asymmetric Buildings With Flexible Floor Diaphragms
,” J. Struct. Eng.
, 130
(8
), pp. 1169
–1176
.214.
Aziminezad
, A.
, and Moghadam
, A. S.
, 2005
, “Performance of Asymmetric Single Storey Buildings Based on Different Configuration of Centre of Mass, Rigidity and Resistance
,” 4th European Workshop on the Seismic Behaviour of Irregular and Complex Structures
, CD-ROM, Thessaloniki, Greece, Aug. 26–27.215.
Aziminejad
, A.
, and Moghadam
, A. S.
, 2009
, “Performance of Asymmetric Multistory Shear Buildings With Different Strength Distributions
,” J. Appl. Sci.
, 9
(6
), pp. 1080
–1089
.216.
Park
, Y. J.
, and Ang
, A. H. S.
, 1985
, “Mechanistic Seismic Damage Model for Reinforced Concrete
,” J. Struct. Eng.
, 111
(4
), pp. 722
–739
.217.
Tso
, W. K.
, and Ying
, H.
, 1990
, “Additional Seismic Inelastic Deformation Caused by Structural Asymmetry
,” Earthquake Eng. Struct. Dyn.
, 19
(2
), pp. 243
–258
.218.
Chandler
, A. M.
, and Duan
, X. N.
, 1991
, “Evaluation of Factors Influencing the Inelastic Seismic Performance of Torsionally Asymmetric Buildings
,” Earthquake Eng. Struct. Dyn.
, 20
(1
), pp. 87
–95
.219.
Prasad
, B. K.
, and Jagadish
, K. S.
, 1989
, “Inelastic Torsional Response of a Single-Storey Framed Structure
,” J. Eng. Mech.
, 115
(8
), pp. 1782
–1797
.220.
CEN
, 1993
, “Eurocode 8: Design Provisions for Earthquake Resistance of Structures
,” Commission of the European Communities, Brussels, Belgium, Report No. CEN/TC250/SC8/N
.221.
IBC
, 2000
, “International Building Code
,” International Code Council, Washington, DC.222.
SeismoSoft
, 2014
, “SeismoStruct V. 7—A Computer Program for Static and Dynamic Nonlinear Analysis of Framed Structures
,” SeismoSoft, Pavia, Italy and Chalkida, Greece, accessed July 10, 2016, http://www.seismosoft.com223.
Calabrese
, A.
, Almeida
, J. P.
, and Pinho
, R.
, 2010
, “Numerical Issues in Distributed Inelasticity Modeling of RC Frame Elements for Seismic Analysis
,” J. Earthquake Eng.
, 14
(S1
), pp. 38
–68
.224.
Elnashai
, A. S.
, and Di Sarno
, L.
, 2010
, Fundamentals of Earthquake Engineering
, Wiley
, West Sussex, UK
.225.
Banerjee
, A. K.
, Pramanik
, D.
, and Roy
, R.
, 2016
, “Seismic Structural Fragilities: Proposals for Improved Methodology per Spectral Matching of Accelerogram
,” Eng. Struct.
, 111
, pp. 538
–551
.226.
Baker
, J. W.
, 2011
, “Conditional Mean Spectrum: Tool for Ground Motion Selection
,” J. Struct. Eng.
, 137
(3
), pp. 322
–331
.227.
Roy
, R.
, Thakur
, P.
, and Chakroborty
S.
, 2014
, “Scaling of Ground Motions and Its Implications to Plan-Asymmetric Structures
,” Soil Dyn. Earthquake Eng.
, 57
, pp. 46
–67
.228.
Cornell
, C. A.
, 2005
, “On Earthquake Record Selection for Nonlinear Dynamic Analysis
,” Stanford University, Stanford, CA, accessed Dec. 12, 2015, http://eventos.iingen.unam.mx/SimposioLE/Documentos/Cornell.pdf229.
Baker
, J. W.
, and Cornell
, C. A.
, 2006
, “Correlation of Response Spectral Values for Multi-Component Ground Motions
,” Bull. Seismol. Soc. Am.
, 96
(1
), pp. 215
–225
.230.
Watson-Lamprey
, J.
, and Abrahamson
, N.
, 2006
, “Selection of Time Series for Analyses of Response of Buildings
,” 1st European Conference on Earthquake Engineering and Seismology
, Geneva, Switzerland.231.
Burratti
, N.
, Stafford
, P. J.
, and Bommer
, J. J.
, 2011
, “Earthquake Accelerogram Selection and Scaling Procedures for Estimating the Distribution of Drift Response
,” J. Struct. Eng.
, 137
(3
), pp. 345
–357
.232.
Kubo
, T.
, and Penzien
, J.
, 1979
, “Analysis of Three-Dimensional Strong Ground Motions Along Principal Axes, San Fernando Earthquake
,” Earthquake Eng. Struct. Dyn.
, 7
(3
), pp. 265
–278
.233.
Spudich
, P.
, Steck
, L. K.
, Hellweg
, M.
, Fletcher
, J.
, and Baker
, L. M.
, 1995
, “Transient Stresses at Parkfield, California, Produced by the M7.4 Landers Earthquake of June 28, 1992: Observations From the UPSAR Dense Seismograph Array
,” J. Geophys. Res.
, 100
(B1
), pp. 675
–690
.234.
Spudich
, P.
, and Fletcher
, J.
, 2008
, “Observation and Prediction of Dynamic Ground Strains, Tilts and Torsions Caused by the M6.0 2004 Parkfield, California, Earthquake and Aftershocks, Derived From UPSAR Array Observations
,” Bull. Seismol. Soc. Am.
, 98
(4
), pp. 1898
–1914
.235.
Todorovska
, M. I.
, Trifunac
, M. D.
, Lee
, V. W.
, and Orbovic
, N.
, 2013
, “Synthetic Earthquake Ground Motions on an Array
,” Soil Dyn. Earthquake Eng.
, 48
, pp. 234
–251
.236.
Bray
, J. D.
, Rodriguez-Marek
, A.
, and Gillie
, J. L.
, 2009
, “Design Ground Motions Near Active Faults
,” Bull. N. Z. Soc. Earthquake Eng.
, 42
(1
), pp. 1
–8
.237.
Sengupta
, A.
, Quadery
, L.
, Sarkar
, S.
, and Roy
, R.
, 2016
, “Influence of Bi-Directional Near-Fault Excitations on RC Bridge Piers
,” J. Bridge Eng.
, 21
(7
), p. 04016034
.238.
Kamai
, R.
, Abrahamson
, N.
, and Graves
, R.
, 2014
, “Adding Fling Effects to Processed Ground Motion Time Histories
,” Bull. Seismol. Soc. Am.
, 104
(4
), pp. 1914
–29
.239.
Burks
, L. S.
, and Baker
, J. W.
, 2016
, “A Predictive Model for Fling-Step in Near-Fault Ground Motions Based on Recordings and Simulations
,” Soil Dyn. Earthquake Eng.
, 80
, pp. 119
–126
.240.
Grigoriu
, M.
, 2011
, “To Scale or Not to Scale Seismic Ground-Acceleration Records
,” J. Eng. Mech.
, 137
(4
), pp. 284
–293
.241.
Ier Volino
, I.
, Maddaloni
, G.
, and Cosenza
, E.
, 2008
, “Eurocode 8 Compliant Real Record Sets for Seismic Analysis of Structures
,” J. Earthquake Eng.
, 12
(1
), pp. 54
–90
.242.
Grant
, D.
, 2011
, “Response Spectral Matching of Two Horizontal Ground-Motion Components
,” J. Struct. Eng.
, 137
(3
), pp. 289
–297
.243.
Abrahamson
N.
, 1992
, “Non-Stationary Spectral Matching
,” Seismol. Res. Lett.
, 63
(1
), p. 30
.244.
Hancock
, J.
, Watson-Lamprey
, J.
, Abrahamson
N. A.
, Bommer
, J. J.
, Markatis
, A.
, and McCoy
, E.
, 2006
, “An Improved Method of Matching Response Spectra of Recorded Earthquake Ground Motion Using Wavelets
”. J. Earthquake Eng.
, 10
(S1
), pp. 67
–89
.245.
Al Atik
, L.
, and Abrahamson
, N.
, 2010
, “An Improved Method for Nonstationary Spectral Matching
,” Earthquake Spectra
, 26
(3
), pp. 601
–617
.246.
Hancock
, J.
, and Bommer
, J. J.
, 2007
, “Using Spectral Matched Records to Explore the Influence of Strong-Motion Duration on Inelastic Structural Response
,” Soil Dyn. Earthquake Eng.
, 27
(4
), pp. 291
–299
.247.
Heo
, Y.
, Kunnath
, S. K.
, and Abrahamson
, N.
, 2011
, “Amplitude Scaling Versus Spectrum-Matched Ground Motions for Seismic Performance Assessment
,” J. Struct. Eng.
, 137
(3
), pp. 278
–288
.248.
Roy
, R.
, Thakur
, P.
, and Chakroborty
S.
, 2014
, “Spectral Matching of Real Ground Motions: Applications to Horizontally Irregular Systems in Elastic Range
,” Adv. Struct. Eng.
, 17
(11
), pp. 1623
–1638
.249.
Chakroborty
, S.
, and Roy
, R.
, 2016
, “Role of Ground Motion Characteristics on Inelastic Seismic Response of Irregular Systems
,” J. Archit. Eng.
, 22
(1
), p. B4015007
.250.
ASCE
, 2005
, “Minimum Design Loads for Buildings and Other Structures
,” American Society of Civil Engineers, Reston, VA, Standard No. ASCE/SEI 7-05.251.
Reyes
, J. C.
, Riano
, A. C.
, Kalkan
, E.
, Quintero
, O. A.
, and Arango
, C. M.
, 2014
, “Assessment of Spectrum Matching Procedure for Nonlinear Analysis of Symmetric- and Asymmetric-Plan Buildings
,” Eng. Struct.
, 72
, pp. 171
–181
.252.
Vassiliou
, M. F.
, and Makris
, N.
, 2011
, “Estimating Time Scales and Length Scales in Pulselike Earthquake Acceleration Records With Wavelet Analysis
,” Bull. Seismol. Soc. Am.
, 101
(2
), pp. 596
–618
.253.
Makris
, N.
, and Vassiliou
, M. F.
, 2011
, “The Existence of ‘Complete Similarities' in the Response of Seismic Isolated Structures Subjected to Pulse-Like Ground Motions and Their Implications in Analysis
,” Earthquake Eng. Struct. Dyn.
, 40
(10
), pp. 1103
–1121
.254.
Roy
, R.
, Ghosh
, D.
, and Bhattacharya
, G.
, 2016
, “Influence of Strong Motion Characteristics on Permanent Displacement of Slopes
,” Landslides
, 13
(2
), pp. 279
–292
.255.
Park
, Y. J.
, Ang
, A. H. S.
, and Wen
, Y. K.
, 1985
, “Seismic Damage Analysis of Reinforced Concrete Buildings
,” J. Struct. Eng.
, 111
(4
), pp. 740
–757
.256.
Park
, Y. J.
, Ang
, A. H.-S.
, and Wen
, Y. K.
, 1987
, “Damage-Limiting Aseismic Design of Buildings
,” Earthquake Spectra
, 3
(1
), pp. 1
–26
.257.
Humar
, J. L.
, Mahgoub
, M.
, and Ghorbanie-Asl
, M.
, 2006
, “Effect of Second Order Forces on Seismic Response
,” Can. J. Civil Eng.
, 33
(6
), pp. 692
–706
.258.
Reyes
, J. C.
, and Kalkan
, E.
, 2015
, “Significance of Rotating ground Motions on Behaviour of Symmetric and Asymmetric-plan Structures: Part I: Single Storey Structures
,” Earthquake Spectra
, 31
(3
), pp. 1591
–1612
.259.
Kalkan
, E.
, and Reyes
, J. C.
, 2015
, “Significance of Rotating ground Motions on Behaviour of Symmetric and Asymmetric-Plan Structures: Part II: Multi-Storey Structures
,” Earthquake Spectra
, 31
(3
), pp. 1613
–1628
.260.
Basu
, D.
, and Giri
, S.
, 2015
, “Accidental Eccentricity in Multistorey Buildings Due to Torsional Ground Motion
,” Bull. Earthquake Eng.
, 13
(12
), pp. 3779
–3808
.261.
Wolf
, J. P.
, 1985
, Dynamic Soil-Structure Interaction
, Prentice-Hall
, Englewood Cliffs, NJ
.262.
Roy
, R.
, and Dutta
, S. C.
, 2010
, “Inelastic Seismic Demand of Low-Rise Buildings With Soil-Flexibility
,” Int. J. Nonlinear Mech.
, 45
(4
), pp. 419
–432
.263.
Daniel
, Y.
, and Lavan
, O.
, 2015
, “Optimality Criteria Based Seismic Design of Multiple Tuned-Mass-Dampers for the Control of 3D Irregular Buildings
,” Earthquakes Struct.
, 8
(1
), pp. 77
–100
.264.
Escobar
, J. A.
, 1996
, “Seismic Torsion in Non-Linear Nominally Symmetric Structures Due to Random Properties
,” 11th World Conference on Earthquake Engineering
, Acapulco, México, June 23–28, Paper No. 1403.265.
Petti
, L.
, and De Iuliis
, M.
, 2004
, “Torsional Seismic Response Control of Asymmetric-Plan Systems by Using Viscous Dampers
,” Eng. Struct.
, 30
(11
), pp. 3377
–3388
.266.
Trombetti
, T.
, Silvestri
, S.
, Gasparini
, G.
, Pintucchi
, B.
, and De Stefano
, M.
, 2008
, “Numerical Verification of the Effectiveness of the ‘Alpha’ Method for the Estimation of the Maximum Rotational Elastic Response of Eccentric Systems
,” J. Earthquake Eng.
, 12
(2
), pp. 249
–280
.267.
De-La-Colina
, J.
, 2003
, “Assessment of Design Recommendations for Torsionally Unbalanced Multi-Storey Buildings
,” Earthquake Spectra
, 19
(1
), pp. 47
–66
.268.
Ahlawat
, A. S.
, and Ramaswamy
, A.
, 2002
, “Multi-Objective Optimal Absorber System for Torsionally Coupled Seismically Excited Structures
,” Eng. Struct.
, 25
(7
), pp. 941
–950
.269.
Murnal
, P.
, and Sinha
, R.
, 2004
, “Behaviour of Torsionally Coupled Structures With Variable Frequency Pendulum Isolator
,” J. Struct. Eng.
, 130
(7
), pp. 1041
–1054
.270.
FEMA
, 2001
, “NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, 2000 Edition, Part I: Provisions
,” Federal Emergency Management Agency, Washington, DC, Regulation No. FEMA 368.271.
NZS
, 2004
, “Structural Design Actions, Part 5: Earthquake Actions—New Zealand
,” Code and Supplement, Standards New Zealand, Wellington, New Zealand, Standard No. NZS 1170-05.272.
De Stefano
, M.
, and Rutenberg
, A.
, 1998
, “Predicting the Dynamic Response of Asymmetric Multi-Storey Wall-Frame Structures by Pushover Analysis: Two Case Studies
,” 11th European Conference of Earthquake Engineering
, Paris.273.
Makarios
, T.
, Xenidis
, H.
, Karakostas
, C.
, and Kekidis
, V.
, 2004
, “Verifying the Location of the Optimum Torsion Axis of Multi-Storey Buildings Using Dynamic Analysis
,” 13th World Conference on Earthquake Engineering
, Vancouver, Canada, Aug. 1–6, Paper No. 833.274.
Tremblay
, R.
, and Poncet
, L.
, 2005
, “Seismic Performance of Concentrically Braced Steel Frames in Multi-Storey Buildings With Mass Irregularity
,” J. Struct. Eng.
, 131
(9
), pp. 1363
–1375
.275.
Riddell
, R.
, and Santa-Maria
, H.
, 1999
, “Inelastic Response of One Storey Asymmetric-Plan Systems Subjected to Bi-Directional Earthquake Motions
,” Earthquake Eng. Struct. Dyn.
, 28
(3
), pp. 273
–285
.276.
Humar
, J.
, and Kumar
, P.
, 2000
, “A New Look at the Torsion Design Provisions in Seismic Building Codes
,” 12th World Conference on Earthquake Engineering (12WCEE
), Auckland, New Zealand, Jan. 30–Feb. 4, Paper No. 1707.277.
Erduran
, E.
, 2008
, “Assessment of Current Nonlinear Static Procedures on the Estimation of Torsional Effects in Low-Rise Frame Buildings
,” Eng. Struct.
, 30
(9
), pp. 2548
–2558
.278.
Ghersi
, A.
, Marino
, E. M.
, and Rossi
, P. P.
, 2000
, “Inelastic Response of Multi-Storey Asymmetric Buildings
,” 12th World Conference on Earthquake Engineering, (12WCEE
), Auckland, New Zealand, Paper No. 1716.279.
Dutta
, S. C.
, Roy
, R.
, Das
, P. K.
, Roy
, R.
, and Reddy
, G. R.
, 2007
, “Seismic Safety of Structures: Influence of Soil-flexibility, Asymmetry and Ground Motion Characteristics
,” Journal of Sound and Vibration
, 307
(3–5
), pp. 452
–480
.Copyright © 2016 by ASME
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