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Journal Articles

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

Y. C. Fung

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

DOI: https://doi.org/10.1115/1.4011136

Published Online: June 4, 2021

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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

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

Paper No: JAM-11-1087

DOI: https://doi.org/10.1115/1.4007779

Published Online: January 25, 2013

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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

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

Paper No: JAM-10-1448

DOI: https://doi.org/10.1115/1.4006936

Published Online: July 31, 2012

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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

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

DOI: https://doi.org/10.1115/1.4003362

Published Online: February 15, 2011

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

Journal Articles

Nonclassical Linearization Criteria in Nonlinear Stochastic Dynamics

Isaac Elishakoff, Lova Andriamasy

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

DOI: https://doi.org/10.1115/1.4000899

Published Online: March 25, 2010

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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

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

DOI: https://doi.org/10.1115/1.3173603

Published Online: December 14, 2009

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

Journal Articles

Stochastic Morphological Modeling of Random Multiphase Materials

Lori Graham-Brady, X. Frank Xu

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

DOI: https://doi.org/10.1115/1.2957598

Published Online: August 15, 2008

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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

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

DOI: https://doi.org/10.1115/1.2712234

Published Online: November 3, 2006

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

Journal Articles

Non-Gaussian Narrow-Band Random Fatigue

R. D. Blevins

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

DOI: https://doi.org/10.1115/1.1428332

Published Online: May 3, 2002

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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

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

DOI: https://doi.org/10.1115/1.1312805

Published Online: May 5, 2000

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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,

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

DOI: https://doi.org/10.1115/1.1428333

Published Online: April 18, 2000

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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

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

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

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

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

DOI: https://doi.org/10.1115/1.2789068

Published Online: June 1, 1998

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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

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

DOI: https://doi.org/10.1115/1.2787305

Published Online: June 1, 1997

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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

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

DOI: https://doi.org/10.1115/1.2900859

Published Online: September 1, 1993

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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

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

DOI: https://doi.org/10.1115/1.2893775

Published Online: September 1, 1992

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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

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

DOI: https://doi.org/10.1115/1.2888307

Published Online: March 1, 1990

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Topics: Stochastic processes

Journal Articles

Polynomial Chaos in Stochastic Finite Elements

Roger Ghanem, P. D. Spanos

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

DOI: https://doi.org/10.1115/1.2888303

Published Online: March 1, 1990

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

Journal Articles

Almost-Sure Stability of Some Linear Stochastic Systems

S. T. Ariaratnam, B. L. Ly

J. Appl. Mech. March 1989, 56(1): 175–178.

DOI: https://doi.org/10.1115/1.3176041

Published Online: March 1, 1989

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Topics: Stability, Stochastic systems, Stochastic processes, Excitation

Journal Articles

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

H. Benaroya, M. Rehak

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

DOI: https://doi.org/10.1115/1.3176044

Published Online: March 1, 1989

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

Journal citation

NARROW

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

Almost-Sure Stability of Some Linear Stochastic Systems

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

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