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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

The Analysis of Dynamic Stresses in Aircraft Structures During Landing as Nonstationary Random Processes

Y. C. Fung

Publisher: ASME

J. Appl. Mech. December 1955, 22(4): 449–457.

https://doi.org/10.1115/1.4011136

Published Online: June 4, 2021

View Article titled, The Analysis of Dynamic Stresses in Aircraft Structures During Landing as Nonstationary Random Processes

Topics: Aircraft, Stochastic processes, Stress, Design, Displacement, Flight, Gears, Safety engineering, Service life (Equipment), Shear (Mechanics)

Journal Articles

A Nearly Exact Reformulation of the Girsanov Linearization for Stochastically Driven Nonlinear Oscillators

Tara Raveendran, D. Roy, R. M. Vasu

Publisher: ASME

J. Appl. Mech. March 2013, 80(2): 021020.

Paper No: JAM-11-1087

https://doi.org/10.1115/1.4007779

Published Online: January 25, 2013

View Article titled, A Nearly Exact Reformulation of the Girsanov Linearization for Stochastically Driven Nonlinear Oscillators

Topics: Brownian motion, Displacement, Errors, Probability, Stochastic processes, Theorems (Mathematics), Filtration, Density, Noise (Sound), Excitation

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

Stochastic Stability of Coupled Oscillators With One Asymptotically Stable and One Critical Mode

N. Sri Namachchivaya, Lalit Vedula, Kristjan Onu

Publisher: ASME

J. Appl. Mech. May 2011, 78(3): 031013.

https://doi.org/10.1115/1.4003362

Published Online: February 15, 2011

View Article titled, Stochastic Stability of Coupled Oscillators With One Asymptotically Stable and One Critical Mode

Topics: Flow (Dynamics), Noise (Sound), Stability, Stochastic processes, Vibration, Wakes, Filters

Journal Articles

Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Isaac Elishakoff, Lova Andriamasy

Publisher: ASME

J. Appl. Mech. July 2010, 77(4): 044501.

https://doi.org/10.1115/1.4000899

Published Online: March 25, 2010

View Article titled, Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Topics: Dynamics (Mechanics), Linearization techniques, Potential energy, Nonlinear dynamical systems, Stochastic processes, Approximation, Stiffness

Journal Articles

An Application of Mean Square Calculus to Sliding Wear

Cláudio R. Ávila da Silva, Jr., Giuseppe Pintaude, Hazim Ali Al-Qureshi, Marcelo Alves Krajnc

Publisher: ASME

J. Appl. Mech. March 2010, 77(2): 021013.

https://doi.org/10.1115/1.3173603

Published Online: December 14, 2009

View Article titled, An Application of Mean Square Calculus to Sliding Wear

Topics: Modeling, Stochastic processes, Surface roughness, Uncertainty, Wear

Journal Articles

Stochastic Morphological Modeling of Random Multiphase Materials

Lori Graham-Brady, X. Frank Xu

Publisher: ASME

J. Appl. Mech. November 2008, 75(6): 061001.

https://doi.org/10.1115/1.2957598

Published Online: August 15, 2008

View Article titled, Stochastic Morphological Modeling of Random Multiphase Materials

Topics: Algorithms, Field theories (Physics), Modeling, Simulation, Statistics, Stochastic processes, Particle spin, Rotation, Spin (Aerodynamics), Cities

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

Non-Gaussian Narrow-Band Random Fatigue

R. D. Blevins

Publisher: ASME

J. Appl. Mech. May 2002, 69(3): 317–324.

https://doi.org/10.1115/1.1428332

Published Online: May 3, 2002

View Article titled, Non-Gaussian Narrow-Band Random Fatigue

Topics: Cycles, Failure, Fatigue, Stress, Probability, Waves, Density, Stochastic processes, Random noise

Journal Articles

On the Characterization of Dynamic Properties of Random Processes by Spectral Parameters

G. Petrucci, M. Di Paola, B. Zuccarello

Publisher: ASME

J. Appl. Mech. September 2000, 67(3): 519–526.

https://doi.org/10.1115/1.1312805

Published Online: May 5, 2000

View Article titled, On the Characterization of Dynamic Properties of Random Processes by Spectral Parameters

Topics: Stochastic processes

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

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

R. Ghanem

Publisher: ASME

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

https://doi.org/10.1115/1.2791806

Published Online: December 1, 1999

View Article titled, The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables

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

Journal Articles

Probabilistic Representation and Transmission of Nonstationary Processes in Multi-Degree-of-Freedom Systems

S. F. Masri, A. W. Smyth, M.-I. Traina

Publisher: ASME

J. Appl. Mech. June 1998, 65(2): 398–409.

https://doi.org/10.1115/1.2789068

Published Online: June 1, 1998

View Article titled, Probabilistic Representation and Transmission of Nonstationary Processes in Multi-Degree-of-Freedom Systems

Topics: Approximation, Compacting, Dynamic systems, Earthquake risk, Earthquakes, Eigenvalues, Excitation, Feature extraction, Polynomials, Random vibration

Journal Articles

Unified Second-Order Stochastic Averaging Approach

M. Hijawi, N. Moschuk, R. A. Ibrahim

Publisher: ASME

J. Appl. Mech. June 1997, 64(2): 281–291.

https://doi.org/10.1115/1.2787305

Published Online: June 1, 1997

View Article titled, Unified Second-Order Stochastic Averaging Approach

Topics: Approximation, Damping, Dynamic systems, Inertia (Mechanics), Noise (Sound), Phase transitions, Simulation, Stability, Statistics, Stiffness

Journal Articles

Representation of Strongly Stationary Stochastic Processes

M. Di Paola

Publisher: ASME

J. Appl. Mech. September 1993, 60(3): 689–694.

https://doi.org/10.1115/1.2900859

Published Online: September 1, 1993

View Article titled, Representation of Strongly Stationary Stochastic Processes

Topics: Stochastic processes, Linear systems

Journal Articles

Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation

S. T. Ariaratnam, Wei-Chau Xie

Publisher: ASME

J. Appl. Mech. September 1992, 59(3): 664–673.

https://doi.org/10.1115/1.2893775

Published Online: September 1, 1992

View Article titled, Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation

Topics: Excitation, Linear systems, Noise (Sound), Stability, Stochastic processes, Stress

Journal Articles

Spectral Moments and Pre-Envelope Covariances of Nonseparable Processes

Mario Di Paola, Giovanni Petrucci

Publisher: ASME

J. Appl. Mech. March 1990, 57(1): 218–224.

https://doi.org/10.1115/1.2888307

Published Online: March 1, 1990

View Article titled, Spectral Moments and Pre-Envelope Covariances of Nonseparable Processes

Topics: Stochastic processes

Journal Articles

Polynomial Chaos in Stochastic Finite Elements

Roger Ghanem, P. D. Spanos

Publisher: ASME

J. Appl. Mech. March 1990, 57(1): 197–202.

https://doi.org/10.1115/1.2888303

Published Online: March 1, 1990

View Article titled, Polynomial Chaos in Stochastic Finite Elements

Topics: Chaos, Finite element analysis, Polynomials, Materials properties, Simulation, Space, Stochastic processes

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 citation

NARROW

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

The Analysis of Dynamic Stresses in Aircraft Structures During Landing as Nonstationary Random Processes

A Nearly Exact Reformulation of the Girsanov Linearization for Stochastically Driven Nonlinear Oscillators

Stochastic Harmonic Function Representation of Stochastic Processes

Stochastic Stability of Coupled Oscillators With One Asymptotically Stable and One Critical Mode

Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

An Application of Mean Square Calculus to Sliding Wear

Stochastic Morphological Modeling of Random Multiphase Materials

The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators

Non-Gaussian Narrow-Band Random Fatigue

On the Characterization of Dynamic Properties of Random Processes by Spectral Parameters

Random Response Analysis of Preisach Hysteretic Systems With Symmetric Weight Distribution

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

Probabilistic Representation and Transmission of Nonstationary Processes in Multi-Degree-of-Freedom Systems

Unified Second-Order Stochastic Averaging Approach

Representation of Strongly Stationary Stochastic Processes

Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation

Spectral Moments and Pre-Envelope Covariances of Nonseparable Processes

Polynomial Chaos in Stochastic Finite Elements

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

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