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Journal Articles

Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order

Alberto Di Matteo, Pol D. Spanos

Publisher: ASME

J. Appl. Mech. April 2024, 91(4): 041008.

Paper No: JAM-23-1344

https://doi.org/10.1115/1.4064143

Published Online: December 22, 2023

View Article titled, Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order

Topics: Excitation, Harmonic oscillators, Laplace transforms, Poles (Building), Random excitation, Statistics, White noise, Stochastic processes, Differential equations, Simulation

Journal Articles

Data-Driven Stochastic Averaging

Junyin Li, Zhanchao Huang, Yong Wang, Zhilong Huang, Weiqiu Zhu

Publisher: ASME

J. Appl. Mech. January 2024, 91(1): 011005.

Paper No: JAM-23-1157

https://doi.org/10.1115/1.4063065

Published Online: August 25, 2023

View Article titled, Data-Driven Stochastic Averaging

Topics: Diffusion (Physics), Excitation, White noise, Dynamic systems, Probability

Includes: Supplementary data

Journal Articles

The Stochastic Response of a Class of Impact Systems Calculated by a New Strategy Based on Generalized Cell Mapping Method

Liang Wang, Shichao Ma, Chunyan Sun, Wantao Jia, Wei Xu

Publisher: ASME

J. Appl. Mech. May 2018, 85(5): 054502.

Paper No: JAM-17-1447

https://doi.org/10.1115/1.4039436

Published Online: March 19, 2018

View Article titled, The Stochastic Response of a Class of Impact Systems Calculated by a New Strategy Based on Generalized Cell Mapping Method

Topics: Density, Excitation, Probability, White noise, Computer simulation

Journal Articles

The Estimates of the Mean First Exit Time of a Bistable System Excited by Poisson White Noise

Yong Xu, Hua Li, Haiyan Wang, Wantao Jia, Xiaole Yue, Jürgen Kurths

Publisher: ASME

J. Appl. Mech. September 2017, 84(9): 091004.

Paper No: JAM-17-1111

https://doi.org/10.1115/1.4037158

Published Online: July 12, 2017

View Article titled, The Estimates of the Mean First Exit Time of a Bistable System Excited by Poisson White Noise

Topics: Simulation, White noise, Probability

Journal Articles

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Lincong Chen, Jun Liu, Jian-Qiao Sun

Publisher: ASME

J. Appl. Mech. May 2017, 84(5): 051006.

Paper No: JAM-16-1577

https://doi.org/10.1115/1.4036307

Published Online: April 5, 2017

View Article titled, Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Topics: Excitation, Iterative methods, Nonlinear systems, Polynomials, Probability, Statistical distributions, Stochastic systems, White noise, Simulation, Errors

Journal Articles

Internal Resonance Energy Harvesting

Li-Qun Chen, Wen-An Jiang

Publisher: ASME

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

Paper No: JAM-14-1373

https://doi.org/10.1115/1.4029606

Published Online: March 1, 2015

View Article titled, Internal Resonance Energy Harvesting

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

Journal Articles

Stochastic Averaging of Quasi-Integrable and Resonant Hamiltonian Systems Under Combined Gaussian and Poisson White Noise Excitations

Wantao Jia, Weiqiu Zhu, Yong Xu, Weiyan Liu

Publisher: ASME

J. Appl. Mech. April 2014, 81(4): 041009.

Paper No: JAM-13-1232

https://doi.org/10.1115/1.4025141

Published Online: September 23, 2013

View Article titled, Stochastic Averaging of Quasi-Integrable and Resonant Hamiltonian Systems Under Combined Gaussian and Poisson White Noise Excitations

Topics: Density, Excitation, Probability, Resonance, White noise, Finite difference methods

Journal Articles

Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation

Y. Zeng, W. Q. Zhu

Publisher: ASME

J. Appl. Mech. March 2011, 78(2): 021002.

https://doi.org/10.1115/1.4002528

Published Online: November 4, 2010

View Article titled, Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation

Topics: Density, Excitation, Probability, White noise, Simulation, Noise (Sound)

Journal Articles

Probability Density Function Solution of Nonlinear Oscillators Subjected to Multiplicative Poisson Pulse Excitation on Velocity

H. T. Zhu, G. K. Er, V. P. Iu, K. P. Kou

Publisher: ASME

J. Appl. Mech. May 2010, 77(3): 031001.

https://doi.org/10.1115/1.4000385

Published Online: January 22, 2010

View Article titled, Probability Density Function Solution of Nonlinear Oscillators Subjected to Multiplicative Poisson Pulse Excitation on Velocity

Topics: Density, Displacement, Excitation, Probability, Simulation, Simulation results, White noise, Polynomials, Numerical analysis, Noise (Sound)

Journal Articles

Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises

Y. Wu, W. Q. Zhu

Publisher: ASME

J. Appl. Mech. July 2008, 75(4): 044502.

https://doi.org/10.1115/1.2912987

Published Online: May 14, 2008

View Article titled, Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises

Topics: Excitation, Noise (Sound), White noise, Probability, Impulse (Physics), Trains, Density, Simulation

Journal Articles

Stability of SDOF Linear Viscoelastic System Under the Excitation of Wideband Noise

Qinghua Huang, Wei-Chau Xie

Publisher: ASME

J. Appl. Mech. March 2008, 75(2): 021012.

https://doi.org/10.1115/1.2775496

Published Online: February 25, 2008

View Article titled, Stability of SDOF Linear Viscoelastic System Under the Excitation of Wideband Noise

Topics: Excitation, Noise (Sound), Stability, Differential equations, Stress, White noise

Journal Articles

The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators

Nilanjan Saha, D. Roy

Publisher: ASME

J. Appl. Mech. September 2007, 74(5): 885–897.

https://doi.org/10.1115/1.2712234

Published Online: November 3, 2006

View Article titled, The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators

Topics: Displacement, Polynomials, Probability, Simulation, White noise, Errors, Stochastic processes, Theorems (Mathematics), Scalars

Journal Articles

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

P. D. Spanos, A. Sofi, M. Di Paola

Publisher: ASME

J. Appl. Mech. March 2007, 74(2): 315–324.

https://doi.org/10.1115/1.2198253

Published Online: February 6, 2006

View Article titled, Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Topics: Boundary-value problems, Differential equations, Eigenfunctions, Fokker-Planck equation, Probability, White noise, Harmonic oscillators, Computer simulation, Approximation, Density

Journal Articles

Unified Probabilistic Approach for Model Updating and Damage Detection

Ka-Veng Yuen, James L. Beck, Lambros S. Katafygiotis

Publisher: ASME

J. Appl. Mech. July 2006, 73(4): 555–564.

https://doi.org/10.1115/1.2150235

Published Online: September 29, 2005

View Article titled, Unified Probabilistic Approach for Model Updating and Damage Detection

Topics: Approximation, Damage, Damping, Excitation, Probability, Stiffness, Wind, Errors, White noise, Vibration

Journal Articles

The True Linearization Coefficients for Nonlinear Systems Under Parametric White Noise Excitations

Giovanni Falsone

Publisher: ASME

J. Appl. Mech. January 2007, 74(1): 161–163.

https://doi.org/10.1115/1.1940665

Published Online: December 2, 2004

View Article titled, The True Linearization Coefficients for Nonlinear Systems Under Parametric White Noise Excitations

Topics: Excitation, Nonlinear systems, White noise, Differential equations, Parameter estimation, Noise (Sound)

Journal Articles

An Exact Solution for Response Spectral Density of a Single-Degree-of-Freedom System Under Both Parametric and Additive White Noise Excitations

M. F. Dimentberg, Y. K. Lin

Publisher: ASME

J. Appl. Mech. May 2002, 69(3): 399–400.

https://doi.org/10.1115/1.1458575

Published Online: May 3, 2002

View Article titled, An Exact Solution for Response Spectral Density of a Single-Degree-of-Freedom System Under Both Parametric and Additive White Noise Excitations

Topics: Excitation, Noise (Sound), Spectral energy distribution, White noise, Classical mechanics

Journal Articles

Random Response Analysis of Preisach Hysteretic Systems With Symmetric Weight Distribution

Y. Q. Ni, Assistant Professor,, Z. G. Ying, Associate Professor,, J. M. Ko, Chair Professor and Dean,

Publisher: ASME

J. Appl. Mech. March 2002, 69(2): 171–178.

https://doi.org/10.1115/1.1428333

Published Online: April 18, 2000

View Article titled, Random Response Analysis of Preisach Hysteretic Systems With Symmetric Weight Distribution

Topics: Computer simulation, Displacement, Excitation, Gaussian distribution, Probability, Weight (Mass), White noise, Approximation, Algebra, Dynamic response

Journal Articles

Pseudo-Linear Vibro-Impact System With a Secondary Structure: Response to a White-Noise Excitation

M. F. Dimentberg, H. G. Haenisch

Publisher: ASME

J. Appl. Mech. September 1998, 65(3): 772–774.

https://doi.org/10.1115/1.2789124

Published Online: September 1, 1998

View Article titled, Pseudo-Linear Vibro-Impact System With a Secondary Structure: Response to a White-Noise Excitation

Topics: Excitation, Structural response analysis, White noise

Journal Articles

Linear Systems Excited by Polynomials of Filtered Poission Pulses

M. Di Paola

Publisher: ASME

J. Appl. Mech. September 1997, 64(3): 712–717.

https://doi.org/10.1115/1.2788955

Published Online: September 1, 1997

View Article titled, Linear Systems Excited by Polynomials of Filtered Poission Pulses

Topics: Differential equations, Excitation, Linear systems, Polynomials, White noise

Journal Articles

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

H. Lin, S. C. S. Yim

Publisher: ASME

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

https://doi.org/10.1115/1.2788897

Published Online: June 1, 1996

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

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

Journal citation

NARROW

Supplemental Material

Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order

Data-Driven Stochastic Averaging

The Stochastic Response of a Class of Impact Systems Calculated by a New Strategy Based on Generalized Cell Mapping Method

The Estimates of the Mean First Exit Time of a Bistable System Excited by Poisson White Noise

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Internal Resonance Energy Harvesting

Stochastic Averaging of Quasi-Integrable and Resonant Hamiltonian Systems Under Combined Gaussian and Poisson White Noise Excitations

Stochastic Averaging of Quasi-Nonintegrable-Hamiltonian Systems Under Poisson White Noise Excitation

Probability Density Function Solution of Nonlinear Oscillators Subjected to Multiplicative Poisson Pulse Excitation on Velocity

Stationary Response of MDOF Dissipated Hamiltonian Systems to Poisson White Noises

Stability of SDOF Linear Viscoelastic System Under the Excitation of Wideband Noise

The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Unified Probabilistic Approach for Model Updating and Damage Detection

The True Linearization Coefficients for Nonlinear Systems Under Parametric White Noise Excitations

An Exact Solution for Response Spectral Density of a Single-Degree-of-Freedom System Under Both Parametric and Additive White Noise Excitations

Random Response Analysis of Preisach Hysteretic Systems With Symmetric Weight Distribution

Pseudo-Linear Vibro-Impact System With a Secondary Structure: Response to a White-Noise Excitation

Linear Systems Excited by Polynomials of Filtered Poission Pulses

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

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