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Journal Articles

Emergence of Exceptional Points in Periodic Metastructures With Hidden Parity-Time Symmetric Defects

Yanghao Fang, Tsampikos Kottos, Ramathasan Thevamaran

J. Appl. Mech. December 2022, 89(12): 121003.

Paper No: JAM-22-1225

DOI: https://doi.org/10.1115/1.4055618

Published Online: October 6, 2022

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Topics: Density, Eigenvalues, Elastodynamics, Expandable polystyrene, Finite element analysis, Parity (Physics), Spectra (Spectroscopy), Dynamics (Mechanics), Displacement, Computational mechanics

Includes: Supplementary data

Journal Articles

Rayleigh Quotient and Dissipative Systems

A. Srikantha Phani, S. Adhikari

J. Appl. Mech. November 2008, 75(6): 061005.

DOI: https://doi.org/10.1115/1.2910898

Published Online: August 15, 2008

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Topics: Damping, Eigenvalues, Perturbation theory

Journal Articles

Spectral and Perturbation Analysis of First-Order Beams With Notch Damage

N. Apetre, M. Ruzzene, S. Hanagud, S. Gopalakrishnan

J. Appl. Mech. May 2008, 75(3): 031019.

DOI: https://doi.org/10.1115/1.2839904

Published Online: May 2, 2008

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Topics: Damage, Finite element analysis, Stress, Displacement, Perturbation theory, Wave propagation, Waves

Journal Articles

Inertia Effects in a Curved Non-Newtonian Squeeze Film

R. Usha and, P. Vimala

J. Appl. Mech. November 2001, 68(6): 944–948.

DOI: https://doi.org/10.1115/1.1386695

Published Online: April 28, 2001

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Topics: Disks, Inertia (Mechanics), Pressure, Fluids, Film flow, Laminar flow, Lubrication, Pressure gradient, Lubricants, Confined flow

Journal Articles

Interaction Between Slow and Fast Oscillations in an Infinite Degree-of-Freedom Linear System Coupled to a Nonlinear Subsystem: Theory and Experiment

I. T. Georgiou, I. Schwartz, E. Emaci, A. Vakakis

J. Appl. Mech. June 1999, 66(2): 448–459.

DOI: https://doi.org/10.1115/1.2791069

Published Online: October 25, 1999

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Topics: Degrees of freedom, Linear systems, Oscillations, Dynamics (Mechanics), Pendulums, Cantilevers, Engineering prototypes, Perturbation theory, Resonance

Journal Articles

Forced Vibration Analysis for Damped Periodic Systems With One Nonlinear Disorder

H. C. Chan, C. W. Cai, Y. K. Cheung

J. Appl. Mech. March 2000, 67(1): 140–147.

DOI: https://doi.org/10.1115/1.321158

Published Online: December 28, 1998

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Topics: Approximation, Damping, Degrees of freedom, Excitation, Vibration, Vibration analysis, Periodic structures, Perturbation theory, Steady state

Journal Articles

Identification of a Dynamic System Using Ambient Vibration Measurements

M. Q. Feng, J.-M. Kim, H. Xue

J. Appl. Mech. December 1998, 65(4): 1010–1021.

DOI: https://doi.org/10.1115/1.2791895

Published Online: December 1, 1998

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Topics: Dynamic systems, Vibration measurement, Finite element model, Stiffness, Vibration, Vibration tests, Wind, Accelerometers, Dampers, Damping

Journal Articles

Canonical Perturbation of a Fast Time-Periodic Hamiltonian via Liapunov-Floquet Transformation

E. A. Butcher, S. C. Sinha

J. Appl. Mech. March 1998, 65(1): 209–217.

DOI: https://doi.org/10.1115/1.2789028

Published Online: March 1, 1998

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Topics: Excitation, Perturbation theory

Journal Articles

Freezing Range Effect on Shell Growth Instability During Alloy Solidification

L. G. Hector, Jr., Woo-Seung Kim, O. Richmond

J. Appl. Mech. September 1996, 63(3): 594–602.

DOI: https://doi.org/10.1115/1.2823339

Published Online: September 1, 1996

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Topics: Alloys, Freezing, Shells, Solidification, Cooling, Liquid metals, Metals, Aluminum alloys, Carbon, Casting

Journal Articles

Magnetomechanical Instabilities in Elastic-Plastic Cylinders, Part I: Elastic Response

D. L. Littlefield

J. Appl. Mech. September 1996, 63(3): 734–741.

DOI: https://doi.org/10.1115/1.2823357

Published Online: September 1, 1996

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Topics: Cylinders, Magnetic fields, Deformation, Electromagnetic fields, Currents, Electric current, Metals, Perturbation theory, Stability, Vacuum

Journal Articles

Magnetomechanical Instabilities in Elastic-Plastic Cylinders, Part II: Plastic Response

D. L. Littlefield

J. Appl. Mech. September 1996, 63(3): 742–749.

DOI: https://doi.org/10.1115/1.2823358

Published Online: September 1, 1996

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Topics: Cylinders, Electric current, Constitutive equations, Deformation, Electromagnetic fields, Flow (Dynamics), Magnetic fields, Metals, Perturbation theory, Pressure

Journal Articles

Equilibrium Displacement and Stress Distribution in a Two-Dimensional, Axially Moving Web Under Transverse Loading

C. C. Lin, C. D. Mote, Jr.

J. Appl. Mech. September 1995, 62(3): 772–779.

DOI: https://doi.org/10.1115/1.2897013

Published Online: September 1, 1995

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Topics: Displacement, Equilibrium (Physics), Stress concentration, Stiffness, Stress, Boundary layers, Deformation, Membranes, Perturbation theory, Plastic sheet

Journal Articles

Critical Angles in Bending of Rotationally Inhomogeneous Elastic Wedges

A. Yu Belov, H. O. K. Kirchner

J. Appl. Mech. June 1995, 62(2): 429–440.

DOI: https://doi.org/10.1115/1.2895949

Published Online: June 1, 1995

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Topics: Wedges, Eigenvalues, Anisotropy, Perturbation theory, Stress

Journal Articles

A Perturbation Method for Inverse Frequency Modification of Discrete, Undamped Systems

M. J. Smith, S. G. Hutton

J. Appl. Mech. December 1994, 61(4): 887–892.

DOI: https://doi.org/10.1115/1.2901573

Published Online: December 1, 1994

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Topics: Design, Mode shapes, Perturbation theory, Stiffness

Journal Articles

A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles

Huajian Gao, James R. Rice

J. Appl. Mech. December 1989, 56(4): 828–836.

DOI: https://doi.org/10.1115/1.3176178

Published Online: December 1, 1989

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Topics: Fracture (Materials), Stress, Fracture toughness, Boundary element methods, Brittleness, Cross section (Physics), Micromechanics (Engineering), Perturbation theory, Shapes, Solids

Journal Articles

Comments on Rayleigh’s Quotient and Perturbation Theory for the Eigenvalue Problem

Christophe Pierre

J. Appl. Mech. December 1988, 55(4): 986–988.

DOI: https://doi.org/10.1115/1.3173753

Published Online: December 1, 1988

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Topics: Eigenvalues, Perturbation theory

Journal Articles

Experimental Observation of Amplitude- and Phase-Modulated Responses of Two Internally Coupled Oscillators to a Harmonic Excitation

A. H. Nayfeh, L. D. Zavodney

J. Appl. Mech. September 1988, 55(3): 706–710.

DOI: https://doi.org/10.1115/1.3125853

Published Online: September 1, 1988

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Topics: Excitation, Degrees of freedom, Perturbation theory

Journal Articles

A First Look at Perturbation Theory

James G. Simmonds, Author, James E. Mann, Jr., Author, J. Lyell Sanders, Jr., Reviewer

J. Appl. Mech. June 1988, 55(2): 500–501.

DOI: https://doi.org/10.1115/1.3173715

Published Online: June 1, 1988

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Topics: Perturbation theory

Journal Articles

Flow Between Eccentric Rotating Cylinders

A. San Andres, A. Z. Szeri

J. Appl. Mech. December 1984, 51(4): 869–878.

DOI: https://doi.org/10.1115/1.3167739

Published Online: December 1, 1984

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Topics: Cylinders, Flow (Dynamics), Separation (Technology), Reynolds number, Eddies (Fluid dynamics), Numerical analysis, Perturbation theory, Rotation, Splines

Journal Articles

The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

M. R. Hyams, L. A. Month

J. Appl. Mech. June 1984, 51(2): 399–405.

DOI: https://doi.org/10.1115/1.3167631

Published Online: June 1, 1984

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Topics: Stability, Bifurcation, Perturbation theory

Journal citation

NARROW

Supplemental Material

Emergence of Exceptional Points in Periodic Metastructures With Hidden Parity-Time Symmetric Defects

Rayleigh Quotient and Dissipative Systems

Spectral and Perturbation Analysis of First-Order Beams With Notch Damage

Inertia Effects in a Curved Non-Newtonian Squeeze Film

Interaction Between Slow and Fast Oscillations in an Infinite Degree-of-Freedom Linear System Coupled to a Nonlinear Subsystem: Theory and Experiment

Forced Vibration Analysis for Damped Periodic Systems With One Nonlinear Disorder

Identification of a Dynamic System Using Ambient Vibration Measurements

Canonical Perturbation of a Fast Time-Periodic Hamiltonian via Liapunov-Floquet Transformation

Freezing Range Effect on Shell Growth Instability During Alloy Solidification

Magnetomechanical Instabilities in Elastic-Plastic Cylinders, Part I: Elastic Response

Magnetomechanical Instabilities in Elastic-Plastic Cylinders, Part II: Plastic Response

Equilibrium Displacement and Stress Distribution in a Two-Dimensional, Axially Moving Web Under Transverse Loading

Critical Angles in Bending of Rotationally Inhomogeneous Elastic Wedges

A Perturbation Method for Inverse Frequency Modification of Discrete, Undamped Systems

A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles

Comments on Rayleigh’s Quotient and Perturbation Theory for the Eigenvalue Problem

Experimental Observation of Amplitude- and Phase-Modulated Responses of Two Internally Coupled Oscillators to a Harmonic Excitation

A First Look at Perturbation Theory

Flow Between Eccentric Rotating Cylinders

The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

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