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Journal Articles

An Alternating Efficient Approach for Determination of the Non-Stationary Responses of Strongly Nonlinear Systems Driven by Random Excitations

Jiamin Qian, Lincong Chen, Jian-Qiao Sun

J. Appl. Mech. April 2023, 90(4): 041003.

Paper No: JAM-22-1366

DOI: https://doi.org/10.1115/1.4056457

Published Online: January 6, 2023

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Topics: Nonlinear systems, Radial basis function networks, Random excitation, Differential equations, Simulation

Journal Articles

Response of Van Der Pol’s Oscillator to Random Excitation

T. K. Caughey

J. Appl. Mech. September 1959, 26(3): 345–348.

DOI: https://doi.org/10.1115/1.4012044

Published Online: June 23, 2021

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Topics: Random excitation, Noise (Sound), Excitation, Oscillations, Spectral energy distribution

Journal Articles

Response of a Nonlinear String to Random Loading

T. K. Caughey

J. Appl. Mech. September 1959, 26(3): 341–344.

DOI: https://doi.org/10.1115/1.4012043

Published Online: June 23, 2021

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Topics: String, Deflection, Random excitation, Stress

Journal Articles

The Response of Mechanical Systems to Random Excitation

W. T. Thomson, M. V. Barton

J. Appl. Mech. June 1957, 24(2): 248–251.

DOI: https://doi.org/10.1115/1.4011504

Published Online: June 10, 2021

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Topics: Dynamic response, Excitation, Random excitation

Journal Articles

Response of Pounding Dynamic Vibration Neutralizer Under Harmonic and Random Excitation

Sami F. Masri, John P. Caffrey

J. Appl. Mech. February 2019, 86(2): 021003.

Paper No: JAM-18-1496

DOI: https://doi.org/10.1115/1.4041910

Published Online: November 22, 2018

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Topics: Excitation, Random excitation, Steady state, Vibration absorbers, Nonlinear systems, Displacement, Computer simulation, Dampers, Transients (Dynamics)

Journal Articles

Internal Resonance Energy Harvesting

Li-Qun Chen, Wen-An Jiang

J. Appl. Mech. March 2015, 82(3): 031004.

Paper No: JAM-14-1373

DOI: https://doi.org/10.1115/1.4029606

Published Online: March 1, 2015

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Topics: Energy harvesting, Excitation, Frequency response, Noise (Sound), Resonance, Displacement, Design, Vibration, White noise, Random excitation

Journal Articles

Stochastic Averaging for Quasi-Integrable Hamiltonian Systems With Variable Mass

Yong Wang, Xiaoling Jin, Zhilong Huang

J. Appl. Mech. May 2014, 81(5): 051003.

Paper No: JAM-13-1325

DOI: https://doi.org/10.1115/1.4025954

Published Online: December 10, 2013

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Topics: Classical mechanics, Damping, Differential equations, Displacement, Excitation, Momentum, Probability, Noise (Sound), Particulate matter, Stiffness

Journal Articles

Response of a Rotating Shaft to Uniaxial Random Excitation

M. F. Dimentberg, A. Naess, L. Sperling

J. Appl. Mech. July 2012, 79(4): 044503.

DOI: https://doi.org/10.1115/1.4005581

Published Online: May 9, 2012

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Topics: Computer simulation, Random excitation, Rotation, Signals, Stability, Whirls, Magnification, Rotors, Vibration, Excitation

Journal Articles

Energy-Based Stochastic Estimation for Nonlinear Oscillators With Random Excitation

J. B. Roberts, M. Vasta

J. Appl. Mech. December 2000, 67(4): 763–771.

DOI: https://doi.org/10.1115/1.1330546

Published Online: August 14, 2000

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Topics: Damping, Excitation, Stiffness, Diffusion (Physics), Random excitation, Potential energy, Markov processes

Journal Articles

Hilbert Transform Generalization of a Classical Random Vibration Integral

P. D. Spanos, S. M. Miller

J. Appl. Mech. September 1994, 61(3): 575–581.

DOI: https://doi.org/10.1115/1.2901498

Published Online: September 1, 1994

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Topics: Algebra, Control engineering, Differential equations, Engineering mathematics, Random excitation, Random vibration, Spectra (Spectroscopy), Time-invariant systems, White noise

Journal Articles

On Statistics of First-Passage Failure

G. Q. Cai, Y. K. Lin

J. Appl. Mech. March 1994, 61(1): 93–99.

DOI: https://doi.org/10.1115/1.2901427

Published Online: March 1, 1994

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Topics: Boundary-value problems, Diffusion processes, Dynamic systems, Failure, Markov processes, Random excitation, Statistics

Journal Articles

Robustness of Nonlinear Systems Perturbed by External Random Excitation

G. Leng, N. Sri Namachchivaya, S. Talwar

J. Appl. Mech. December 1992, 59(4): 1015–1022.

DOI: https://doi.org/10.1115/1.2894016

Published Online: December 1, 1992

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Topics: Nonlinear systems, Random excitation, Robustness, Bifurcation, Density, Poles (Building), Probability

Journal Articles

Monte Carlo Simulation of Coupled Nonlinear Oscillators Under Random Excitations

Wenlung Li, R. A. Ibrahim

J. Appl. Mech. December 1990, 57(4): 1097–1099.

DOI: https://doi.org/10.1115/1.2897638

Published Online: December 1, 1990

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Topics: Random excitation, Simulation, Resonance, Computer simulation, Degrees of freedom, Nonlinear dynamics

Journal Articles

Random Vibrations of Viscoelastic Laminated Plates

G. Cederbaum

J. Appl. Mech. September 1990, 57(3): 688–693.

DOI: https://doi.org/10.1115/1.2897078

Published Online: September 1, 1990

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Topics: Plates (structures), Random vibration, Fibers, White noise, Algorithms, Composite materials, Damping, Eigenvalues, Fast Fourier transforms, Fourier transforms

Journal Articles

Some Observations on the Random Response of an Elasto-Plastic System

L. G. Paparizos, W. D. Iwan

J. Appl. Mech. December 1988, 55(4): 911–917.

DOI: https://doi.org/10.1115/1.3173741

Published Online: December 1, 1988

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Topics: Brownian motion, Gaussian distribution, Markov processes, Random excitation, Simulation, Statistical distributions

Journal Articles

Equivalent Stochastic Systems

Y. K. Lin, G. Q. Cai

J. Appl. Mech. December 1988, 55(4): 918–922.

DOI: https://doi.org/10.1115/1.3173742

Published Online: December 1, 1988

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Topics: Stochastic systems, Statistical distributions, Dynamic systems, Noise (Sound), Probability, Random excitation, Transients (Dynamics)

Journal Articles

Response of the Duffing Oscillator to a Non-Gaussian Random Excitation

Ismail I. Orabi, Goodarz Ahmadi

J. Appl. Mech. September 1988, 55(3): 740–743.

DOI: https://doi.org/10.1115/1.3125861

Published Online: September 1, 1988

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Topics: Random excitation

Journal Articles

Experimental Investigation of Liquid Sloshing Under Parametric Random Excitation

R. A. Ibrahim, R. T. Heinrich

J. Appl. Mech. June 1988, 55(2): 467–473.

DOI: https://doi.org/10.1115/1.3173701

Published Online: June 1, 1988

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Topics: Random excitation, Sloshing, Excitation, Density, Dynamic systems, Inertia (Mechanics), Probability, Spectral energy distribution

Journal Articles

Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations

Jian-Qiao Sun, C. S. Hsu

J. Appl. Mech. September 1987, 54(3): 649–655.

DOI: https://doi.org/10.1115/1.3173083

Published Online: September 1, 1987

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Topics: Errors, Excitation, Nonlinear systems, Random excitation, Shapes

Journal Articles

Nonstationary Response Analysis of a Duffing Oscillator by the Wiener-Hermite Expansion Method

I. I. Orabi, G. Ahmadi

J. Appl. Mech. June 1987, 54(2): 434–440.

DOI: https://doi.org/10.1115/1.3173033

Published Online: June 1, 1987

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Topics: Damping, Random excitation, Simulation results, White noise

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Journal citation

NARROW

An Alternating Efficient Approach for Determination of the Non-Stationary Responses of Strongly Nonlinear Systems Driven by Random Excitations

Response of Van Der Pol’s Oscillator to Random Excitation

Response of a Nonlinear String to Random Loading

The Response of Mechanical Systems to Random Excitation

Response of Pounding Dynamic Vibration Neutralizer Under Harmonic and Random Excitation

Internal Resonance Energy Harvesting

Stochastic Averaging for Quasi-Integrable Hamiltonian Systems With Variable Mass

Response of a Rotating Shaft to Uniaxial Random Excitation

Energy-Based Stochastic Estimation for Nonlinear Oscillators With Random Excitation

Hilbert Transform Generalization of a Classical Random Vibration Integral

On Statistics of First-Passage Failure

Robustness of Nonlinear Systems Perturbed by External Random Excitation

Monte Carlo Simulation of Coupled Nonlinear Oscillators Under Random Excitations

Random Vibrations of Viscoelastic Laminated Plates

Some Observations on the Random Response of an Elasto-Plastic System

Equivalent Stochastic Systems

Response of the Duffing Oscillator to a Non-Gaussian Random Excitation

Experimental Investigation of Liquid Sloshing Under Parametric Random Excitation

Cumulant-Neglect Closure Method for Nonlinear Systems Under Random Excitations

Nonstationary Response Analysis of a Duffing Oscillator by the Wiener-Hermite Expansion Method

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