Two methods able to capture with different levels of accuracy the discontinuities in the bending moment and shear force laws in the dynamic analysis of continuous structures subject to a moving system modeled as a series of unsprung masses are presented. The two methods are based on the dynamic-correction method, which improves the conventional series expansion by means of a pseudostatic term, and on an eigenfunction series expansion of the continuous system response, which takes into account the effect of the moving masses on the structure, respectively.
Issue Section:
Technical Papers
1.
Fry´ba, L., 1996, Dynamics of Railway Bridges, Thomas Telford, London.
2.
Tzou, H. S., and Bergman, L. A., (eds), 1998, Dynamics and Control of Distributed Systems, Cambridge University Press, Cambridge, England.
3.
Stanisic
, M. M.
, Euler
, J. A.
, and Montgomery
, S. T.
, 1974
, “On a Theory Concerning the Dynamical Behavior of Structures Considering Moving Mass
,” Ing. Arch.
, 43
, pp. 295
–305
.4.
Sadiku
, S.
, and Leipholz
, H. H. E.
, 1987
, “On the Dynamic Effects of Elastic Systems With Moving Concentrated Masses
,” Ing. Arch.
, 57
, pp. 223
–242
.5.
Fry´ba, L., 1999, Vibration of Solids and Structures Under Moving Loads, Thomas Telford, London.
6.
Pesterev
, A. V.
, and Bergman
, L. A.
, 2000
, “An Improved Series Expansion of the Solution to the Moving Oscillator Problem
,” ASME J. Vibr. Acoust.
, 122
, pp. 54
–61
.7.
Pesterev
, A. V.
, Tan
, C. A.
, and Bergman
, L. A.
, 2001
, “A New Method for Calculating Bending Moment and Shear Force in Moving Load Problems
,” ASME J. Appl. Mech.
, 68
, pp. 252
–259
.8.
Stanisic
, M. M.
, and Lafayette
, W.
, 1985
, “On a New Theory of the Dynamic Behavior of the Structures Carrying Moving Masses
,” Ing. Arch.
, 55
, pp. 176
–185
.9.
Foster
, J.
, and Richards
, F. B.
, 1991
, “The Gibbs Phenomenon for Piecewise-Linear Approximation
,” Am. Math. Monthly
, 98
, pp. 47
–49
.10.
Bathe, K. J., 1996, Finite Element Procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, NJ.
11.
Muscolino
, G.
, 1996
, “Dynamically Modified Linear Structures: Deterministic and Stochastic Response
,” J. Eng. Mech. Div.
, 122
, pp. 1044
–1051
.12.
Maddox
, N. R.
, 1975
, “On the Number of Modes Necessary for Accurate Response and Resulting Forces in Dynamic Analysis
,” ASME J. Appl. Mech.
, 42
, pp. 516
–517
.13.
Hansteen
, O. E.
, and Bell
, K.
, 1979
, “On the Accuracy of Mode Superposition Analysis in Structural Dynamics
,” Earthquake Eng. Struct. Dyn.
, 7
, pp. 405
–411
.14.
Borino
, G.
, and Muscolino
, G.
, 1986
, “Mode-Superposition Methods in Dynamics Analysis of Classically and Non-Classically Damped Linear Systems
,” Earthquake Eng. Struct. Dyn.
, 14
, pp. 705
–717
.15.
Clough, R. W., and Penzien, J., 1993, Dynamics of Structures, McGraw-Hill, New York.
16.
Meirovitch, L., 1997, Principles and Techniques of Vibrations, Prentice Hall Englewood Cliffs, NJ.
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