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Journal Articles

Uncertainty in the Flexural Behavior of Soft-Core Sandwich Beams

Nachman Malkiel, Oded Rabinovitch

J. Appl. Mech.

Paper No: JAM-23-1006

DOI: https://doi.org/10.1115/1.4062076

Published Online: March 7, 2023

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Topics: Flexural behavior, Uncertainty, Finite element methods, Stress, Chaos, Design, Engineering simulation, Polynomials, Safety, Simulation

Journal Articles

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Ke Ding, Arne J. Pearlstein

J. Appl. Mech. June 2022, 89(6): 061001.

Paper No: JAM-21-1490

DOI: https://doi.org/10.1115/1.4053719

Published Online: March 10, 2022

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Topics: Chaos, Damping, Energy dissipation, Fractals, Harmonic oscillators, Transients (Dynamics), Stability, Oscillations

Includes: Supplementary data

Journal Articles

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Ke Ding, Arne J. Pearlstein

J. Appl. Mech. December 2021, 88(12): 121009.

Paper No: JAM-21-1193

DOI: https://doi.org/10.1115/1.4051998

Published Online: September 6, 2021

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Topics: Chaos, Damping, Energy dissipation, Harmonic oscillators, Oscillations, Rotation, Transients (Dynamics), Time series, Displacement, Fractals

Includes: Supplementary data

Journal Articles

Control of Period-Doubling and Chaos in Varying Compliance Resonances for a Ball Bearing

Zhiyong Zhang, Xiaoting Rui, Rui Yang, Yushu Chen

J. Appl. Mech. February 2020, 87(2): 021005.

Paper No: JAM-19-1354

DOI: https://doi.org/10.1115/1.4045398

Published Online: December 5, 2019

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Topics: Ball bearings, Bifurcation, Chaos, Resonance, Stiffness, Bearings, Rotors

Journal Articles

Nudging Axially Compressed Cylindrical Panels Toward Imperfection Insensitivity

B. S. Cox, R. M. J. Groh, A. Pirrera

J. Appl. Mech. July 2019, 86(7): 071010.

Paper No: JAM-19-1025

DOI: https://doi.org/10.1115/1.4043284

Published Online: April 19, 2019

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Topics: Bifurcation, Buckling, Combined cycle power stations, Equilibrium (Physics), Geometry, Load bearing capacity, Shells, Stability, Stress, Deformation

Journal Articles

Stochastic Analysis of a Nonlinear Forced Panel in Subsonic Flow With Random Pressure Fluctuations

Peng Li, Yiren Yang, Wei Xu, Guo Chen

J. Appl. Mech. July 2013, 80(4): 041005.

Paper No: JAM-11-1346

DOI: https://doi.org/10.1115/1.4007819

Published Online: May 16, 2013

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Topics: Bifurcation, Fluctuations (Physics), Pressure, Space, Subsonic flow, Chaos, Numerical analysis

Journal Articles

Lateral Bifurcation Behavior of a Four-Axle Railway Passenger Car

Xuejun Gao, Yinghui Li, Qing Gao

J. Appl. Mech. November 2010, 77(6): 061001.

DOI: https://doi.org/10.1115/1.4001544

Published Online: August 16, 2010

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Topics: Bifurcation, Railroad passenger cars, Vehicles, Wheels, Rails, Flanges, Wheelsets, Creep, Oscillations, Chaos

Journal Articles

Hybrid Randomness of Initial Imperfections and Axial Loading in Reliability of Cylindrical Shells

Isaac Elishakoff, Lova Andriamasy, Maurice Lemaire

J. Appl. Mech. May 2010, 77(3): 031003.

DOI: https://doi.org/10.1115/1.4000412

Published Online: February 1, 2010

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Topics: Chaos, Reliability, Stress, Pipes

Journal Articles

Effect of Boundary Conditions on Nonlinear Vibrations of Circular Cylindrical Panels

M. Amabili

J. Appl. Mech. July 2007, 74(4): 645–657.

DOI: https://doi.org/10.1115/1.2424474

Published Online: February 6, 2006

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Topics: Bifurcation, Boundary-value problems, Excitation, Vibration, Displacement, Dimensions, Springs, Stress, Chaos, Resonance

Journal Articles

Towards Chaos in Vibrating Damaged Structures—Part II: Parametrical Investigation

Alberto Carpinteri, Nicola Pugno

J. Appl. Mech. July 2005, 72(4): 519–526.

DOI: https://doi.org/10.1115/1.1934631

Published Online: April 8, 2005

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Topics: Engineering simulation, Excitation, Fracture (Materials), Simulation, Computer simulation, Chaos

Journal Articles

Towards Chaos in Vibrating Damaged Structures—Part I: Theory and Period Doubling Cascade

Alberto Carpinteri, Nicola Pugno

J. Appl. Mech. July 2005, 72(4): 511–518.

DOI: https://doi.org/10.1115/1.1934582

Published Online: April 8, 2005

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Topics: Cascades (Fluid dynamics), Chaos, Excitation, Fracture (Materials), Vibration

Journal Articles

Nonintegrability of an Infinite-Degree-of-Freedom Model for Unforced and Undamped, Straight Beams

K. Yagasaki

J. Appl. Mech. September 2003, 70(5): 732–738.

DOI: https://doi.org/10.1115/1.1602483

Published Online: October 10, 2003

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Topics: Algebra, Chaos, Computer simulation, Degrees of freedom, Differential equations, Eigenfunctions, Eigenvalues, Vibration, Trajectories (Physics), Modeling

Journal Articles

Microstructural Randomness Versus Representative Volume Element in Thermomechanics

M. Ostoja-Starzewski, Fellow ASME

J. Appl. Mech. January 2002, 69(1): 25–35.

DOI: https://doi.org/10.1115/1.1410366

Published Online: June 12, 2001

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Topics: Boundary-value problems, Chaos, Damage, Elasticity, Energy dissipation, Thermal conductivity, Thermomechanics, Brittleness, Electromagnetic scattering, Microscale devices

Journal Articles

Period-Doubling Bifurcation and Non-Typical Route to Chaos of a Two-Degree-Of-Freedom Vibro-Impact System

G. L. Wen and, J. H. Xie

J. Appl. Mech. July 2001, 68(4): 670–674.

DOI: https://doi.org/10.1115/1.1379035

Published Online: December 5, 2000

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Topics: Bifurcation, Chaos

Journal Articles

The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables

R. Ghanem

J. Appl. Mech. December 1999, 66(4): 964–973.

DOI: https://doi.org/10.1115/1.2791806

Published Online: December 1, 1999

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Topics: Stochastic processes, Polynomials, Chaos, Dimensions, Finite element methods

Journal Articles

Heteroclinic Bifurcations in Rigid Bodies Containing Internally Moving Parts and a Viscous Damper

G. L. Gray, D. C. Kammer, I. Dobson, A. J. Miller

J. Appl. Mech. September 1999, 66(3): 720–728.

DOI: https://doi.org/10.1115/1.2791660

Published Online: September 1, 1999

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Topics: Bifurcation, Chaos, Computer simulation, Dampers, Damping, Design, Dynamics (Mechanics), Energy dissipation, Equations of motion, Kinetic energy

Journal Articles

Experimental Study of a Symmetrical Piecewise Base-Excited Oscillator

M. Wiercigroch, V. W. T. Sin

J. Appl. Mech. September 1998, 65(3): 657–663.

DOI: https://doi.org/10.1115/1.2789108

Published Online: September 1, 1998

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Topics: Symmetry (Physics), Stiffness, Bifurcation, Calibration, Chaos, Clearances (Engineering), Design, Dynamics (Mechanics), Harmonic oscillators, System dynamics

Journal Articles

Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells

Char-Ming Chin, A. H. Nayfeh

J. Appl. Mech. September 1996, 63(3): 565–574.

DOI: https://doi.org/10.1115/1.2823335

Published Online: September 1, 1996

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Topics: Bifurcation, Chaos, Circular cylindrical shells, Equilibrium (Physics), Partial differential equations, Stability, Attractors, Differential equations, Excitation, Explosives

Journal Articles

Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations

G. L. Gray, I. Dobson, D. C. Kammer

J. Appl. Mech. June 1996, 63(2): 501–508.

DOI: https://doi.org/10.1115/1.2788896

Published Online: June 1, 1996

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Topics: Chaos, Damping, Design, Dynamics (Mechanics), Equations of motion, Oscillations, Satellites, Space vehicles, Spin (Aerodynamics), Torque

Journal Articles

Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors

H. Lin, S. C. S. Yim

J. Appl. Mech. June 1996, 63(2): 509–516.

DOI: https://doi.org/10.1115/1.2788897

Published Online: June 1, 1996

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Topics: Nonlinear systems, Chaos, Density, Dynamics (Mechanics), Noise (Sound), Probability, Approximation, Attractors, Computer simulation, Fokker-Planck equation

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Journal citation

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Supplemental Material

Manuscript

Uncertainty in the Flexural Behavior of Soft-Core Sandwich Beams

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Control of Period-Doubling and Chaos in Varying Compliance Resonances for a Ball Bearing

Nudging Axially Compressed Cylindrical Panels Toward Imperfection Insensitivity

Stochastic Analysis of a Nonlinear Forced Panel in Subsonic Flow With Random Pressure Fluctuations

Lateral Bifurcation Behavior of a Four-Axle Railway Passenger Car

Hybrid Randomness of Initial Imperfections and Axial Loading in Reliability of Cylindrical Shells

Effect of Boundary Conditions on Nonlinear Vibrations of Circular Cylindrical Panels

Towards Chaos in Vibrating Damaged Structures—Part II: Parametrical Investigation

Towards Chaos in Vibrating Damaged Structures—Part I: Theory and Period Doubling Cascade

Nonintegrability of an Infinite-Degree-of-Freedom Model for Unforced and Undamped, Straight Beams

Microstructural Randomness Versus Representative Volume Element in Thermomechanics

Period-Doubling Bifurcation and Non-Typical Route to Chaos of a Two-Degree-Of-Freedom Vibro-Impact System

The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables

Heteroclinic Bifurcations in Rigid Bodies Containing Internally Moving Parts and a Viscous Damper

Experimental Study of a Symmetrical Piecewise Base-Excited Oscillator

Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells

Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations

Analysis of a Nonlinear System Exhibiting Chaotic, Noisy Chaotic, and Random Behaviors

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