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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

Response of Van Der Pol’s Oscillator to Random Excitation

T. K. Caughey

Publisher: ASME

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

https://doi.org/10.1115/1.4012044

Published Online: June 23, 2021

View Article titled, Response of Van Der Pol’s Oscillator to Random Excitation

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

Journal Articles

Responses of Linear and Nonlinear Oscillators to Fractional Gaussian Noise With Hurst Index Between 1/2 and 1

Mao Lin Deng, Wei Qiu Zhu

Publisher: ASME

J. Appl. Mech. October 2015, 82(10): 101008.

Paper No: JAM-15-1180

https://doi.org/10.1115/1.4031009

Published Online: July 22, 2015

View Article titled, Responses of Linear and Nonlinear Oscillators to Fractional Gaussian Noise With Hurst Index Between 1/2 and 1

Topics: Displacement, Harmonic oscillators, Noise (Sound), Damping, Spectral energy distribution, Brownian motion, Kinetic energy

Journal Articles

Stochastic Harmonic Function Representation of Stochastic Processes

Jianbing Chen, Weiling Sun, Jie Li, Jun Xu

Publisher: ASME

J. Appl. Mech. January 2013, 80(1): 011001.

Paper No: JAM-10-1448

https://doi.org/10.1115/1.4006936

Published Online: July 31, 2012

View Article titled, Stochastic Harmonic Function Representation of Stochastic Processes

Topics: Density, Probability, Stochastic processes, Spectral energy distribution

Journal Articles

Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

G. Failla, Doctor of Philosophy,, P. D. Spanos, Fellow, ASME, M. Di Paola, Professor,

Publisher: ASME

J. Appl. Mech. September 2003, 70(5): 708–714.

https://doi.org/10.1115/1.1599916

Published Online: October 10, 2003

View Article titled, Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

Topics: Computer simulation, Damping, Fourier series, Newton's method, Nonlinear systems, Polynomials, Spectral energy distribution, Jacobian matrices, Flow (Dynamics), Reliability

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

Effective System Properties and Special Density in Random Vibration With Parametric Excitation

S. Krenk, Y. K. Lin, F. Ru¨dinger

Publisher: ASME

J. Appl. Mech. March 2002, 69(2): 161–170.

https://doi.org/10.1115/1.1430665

Published Online: August 13, 2001

View Article titled, Effective System Properties and Special Density in Random Vibration With Parametric Excitation

Topics: Damping, Density, Excitation, Probability, Spectral energy distribution, Stiffness, Energy levels (Quantum mechanics)

Journal Articles

Local Similarity in Nonlinear Random Vibration

S. Krenk, J. B. Roberts

Publisher: ASME

J. Appl. Mech. March 1999, 66(1): 225–235.

https://doi.org/10.1115/1.2789151

Published Online: March 1, 1999

View Article titled, Local Similarity in Nonlinear Random Vibration

Topics: Computer simulation, Damping, Density, Differential equations, Energy levels (Quantum mechanics), Excitation, Probability, Random noise, Random vibration, Spectral energy distribution

Journal Articles

Stochastic Vibration of a Mobile Manipulator

U. O. Akpan, M. R. Kujath

Publisher: ASME

J. Appl. Mech. September 1997, 64(3): 670–675.

https://doi.org/10.1115/1.2788945

Published Online: September 1, 1997

View Article titled, Stochastic Vibration of a Mobile Manipulator

Topics: Manipulators, Vibration, Vehicles, Damping, Excitation, Manipulator design, Spectral energy distribution, Stiffness, Surface roughness, Suspension systems

Journal Articles

Power Spectral Density of Nonlinear System Response: The Recursion Method

R. Vale´ry Roy, P. D. Spanos

Publisher: ASME

J. Appl. Mech. June 1993, 60(2): 358–365.

https://doi.org/10.1115/1.2900801

Published Online: June 1, 1993

View Article titled, Power Spectral Density of Nonlinear System Response: The Recursion Method

Topics: Nonlinear systems, Spectral energy distribution, Algorithms, Approximation, Computer simulation, Density, Excitation, Probability, Statistics, White noise

Journal Articles

Response and Stability of a Random Differential Equation: Part I—Moment Equation Method

H. Benaroya, M. Rehak

Publisher: ASME

J. Appl. Mech. March 1989, 56(1): 192–195.

https://doi.org/10.1115/1.3176044

Published Online: March 1, 1989

View Article titled, Response and Stability of a Random Differential Equation: Part I—Moment Equation Method

Topics: Differential equations, Stability, Stochastic processes, Noise (Sound), Spectral energy distribution, Statistics, White noise

Journal Articles

Experimental Investigation of Liquid Sloshing Under Parametric Random Excitation

R. A. Ibrahim, R. T. Heinrich

Publisher: ASME

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

https://doi.org/10.1115/1.3173701

Published Online: June 1, 1988

View Article titled, Experimental Investigation of Liquid Sloshing Under Parametric Random Excitation

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

Journal Articles

Free Vibration of a Large-Amplitude Deflected Plate—Reexamination by the Dynamical Systems Theory

J. Lee

Publisher: ASME

J. Appl. Mech. September 1986, 53(3): 633–640.

https://doi.org/10.1115/1.3171823

Published Online: September 1, 1986

View Article titled, Free Vibration of a Large-Amplitude Deflected Plate—Reexamination by the Dynamical Systems Theory

Topics: Dynamic systems, Free vibrations, Displacement, Chaos, Damping, Spectral energy distribution, Time series, Trajectories (Physics)

Journal Articles

An Approach to the First Passage Problem in Random Vibration

A. B. Mason, Jr., W. D. Iwan

Publisher: ASME

J. Appl. Mech. September 1983, 50(3): 641–646.

https://doi.org/10.1115/1.3167103

Published Online: September 1, 1983

View Article titled, An Approach to the First Passage Problem in Random Vibration

Topics: Analytical methods, Computer simulation, Harmonic oscillators, Noise (Sound), Probability, Random excitation, Random vibration, Simulation results, Spectral energy distribution, White noise

Journal Articles

On the Mean Reynolds Equation in the Presence of Homogeneous Random Surface Roughness

N. Phan-Thien

Publisher: ASME

J. Appl. Mech. September 1982, 49(3): 476–480.

https://doi.org/10.1115/1.3162484

Published Online: September 1, 1982

View Article titled, On the Mean Reynolds Equation in the Presence of Homogeneous Random Surface Roughness

Topics: Surface roughness, Film thickness, Spectral energy distribution

Journal Articles

Random Response of a Rigid Sphere Embedded in a Viscoelastic Medium and Related Problems

A. I. Beltzer

Publisher: ASME

J. Appl. Mech. September 1980, 47(3): 499–503.

https://doi.org/10.1115/1.3153722

Published Online: September 1, 1980

View Article titled, Random Response of a Rigid Sphere Embedded in a Viscoelastic Medium and Related Problems

Topics: Composite materials, Filtration, Mechanical properties, Spectral energy distribution, Waves

Journal Articles

Buckling of a Long, Axially Compressed, Thin Cylindrical Shell With Random Initial Imperfections

R. A. Van Slooten, T. T. Soong

Publisher: ASME

J. Appl. Mech. December 1972, 39(4): 1066–1071.

https://doi.org/10.1115/1.3422830

Published Online: December 1, 1972

View Article titled, Buckling of a Long, Axially Compressed, Thin Cylindrical Shell With Random Initial Imperfections

Topics: Buckling, Pipes, Stress, Load bearing capacity, Spectral energy distribution, Statistics, Probability, Stochastic processes, Waves

Journal Articles

Calculation of Correlation Matrices for Linear Systems Subjected to Nonwhite Excitation

I-Min Yang, W. D. Iwan

Publisher: ASME

J. Appl. Mech. June 1972, 39(2): 559–562.

https://doi.org/10.1115/1.3422716

Published Online: June 1, 1972

View Article titled, Calculation of Correlation Matrices for Linear Systems Subjected to Nonwhite Excitation

Topics: Excitation, Linear systems, Algebra, Spectral energy distribution

Journal citation

NARROW

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

Response of Van Der Pol’s Oscillator to Random Excitation

Responses of Linear and Nonlinear Oscillators to Fractional Gaussian Noise With Hurst Index Between 1/2 and 1

Stochastic Harmonic Function Representation of Stochastic Processes

Response Power Spectrum of Multi-Degree-of-Freedom Nonlinear Systems by a Galerkin Technique

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

Effective System Properties and Special Density in Random Vibration With Parametric Excitation

Local Similarity in Nonlinear Random Vibration

Stochastic Vibration of a Mobile Manipulator

Power Spectral Density of Nonlinear System Response: The Recursion Method

Response and Stability of a Random Differential Equation: Part I—Moment Equation Method

Experimental Investigation of Liquid Sloshing Under Parametric Random Excitation

Free Vibration of a Large-Amplitude Deflected Plate—Reexamination by the Dynamical Systems Theory

An Approach to the First Passage Problem in Random Vibration

On the Mean Reynolds Equation in the Presence of Homogeneous Random Surface Roughness

Random Response of a Rigid Sphere Embedded in a Viscoelastic Medium and Related Problems

Buckling of a Long, Axially Compressed, Thin Cylindrical Shell With Random Initial Imperfections

Calculation of Correlation Matrices for Linear Systems Subjected to Nonwhite Excitation

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