A Generalization of Caughey's Normal Mode Approach to Nonlinear Random Vibration Problems

AIAA Journal ◽

10.2514/3.48662 ◽

1986 ◽

Vol 24 (3) ◽

pp. 531-534 ◽

Author(s):

Tong Fang ◽

Zhen-ni Wang

Keyword(s):

Normal Mode ◽

Random Vibration ◽

Nonlinear Random Vibration ◽

Vibration Problems

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Application of Markov Process Theory to Nonlinear Random Vibration Problems

Stochastic Methods in Structural Dynamics - Mechanics: Dynamical Systems ◽

10.1007/978-94-009-3681-2_4 ◽

1987 ◽

pp. 134-153 ◽

Author(s):

Y. K. Lin

Keyword(s):

Markov Process ◽

Random Vibration ◽

Process Theory ◽

Nonlinear Random Vibration ◽

Vibration Problems

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Approximate solution for nonlinear random vibration problems by partial stochastic linearization

Probabilistic Engineering Mechanics ◽

10.1016/0266-8920(93)90017-p ◽

1993 ◽

Vol 8 (3-4) ◽

pp. 233-237 ◽

Author(s):

I. Elishakoff ◽

G.Q. Cai

Keyword(s):

Approximate Solution ◽

Random Vibration ◽

Nonlinear Random Vibration ◽

Stochastic Linearization ◽

Vibration Problems

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Techniques for Nonlinear Random Vibration Problems

The Shock and Vibration Digest ◽

10.1177/058310248401600903 ◽

1984 ◽

Vol 16 (9) ◽

pp. 3-14 ◽

Author(s):

J.B. Roberts

Keyword(s):

Random Vibration ◽

Nonlinear Random Vibration ◽

Vibration Problems

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Integral equation technique using normal mode method for nonlinear random vibration of clamped rectangular plates

Probabilistic Engineering Mechanics ◽

10.1016/0266-8920(90)90021-b ◽

1990 ◽

Vol 5 (4) ◽

pp. 204-209 ◽

Author(s):

R.S. Srinivasan ◽

P.A. Krishnan

Keyword(s):

Integral Equation ◽

Normal Mode ◽

Random Vibration ◽

Rectangular Plates ◽

Nonlinear Random Vibration ◽

Mode Method ◽

Normal Mode Method

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A Closed Form Solution for a Class of Non-Stationary Nonlinear Random Vibration Problems

Nonlinear Stochastic Dynamic Engineering Systems ◽

10.1007/978-3-642-83334-2_28 ◽

1988 ◽

pp. 393-403 ◽

Author(s):

J. R. Red-Horse ◽

P. D. Spanos

Keyword(s):

Closed Form ◽

Random Vibration ◽

Closed Form Solution ◽

Form Solution ◽

Nonlinear Random Vibration ◽

Vibration Problems

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Comparison of Traditional and Finite Element Solutions to Random Vibration Problems

10.4271/922033 ◽

1992 ◽

Author(s):

S. K. Tsang

Keyword(s):

Finite Element ◽

Random Vibration ◽

Vibration Problems

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Equivalent linearization method using Gaussian mixture (GM-ELM) for nonlinear random vibration analysis

Structural Safety ◽

10.1016/j.strusafe.2016.08.005 ◽

2017 ◽

Vol 64 ◽

pp. 9-19 ◽

Author(s):

Ziqi Wang ◽

Junho Song

Keyword(s):

Vibration Analysis ◽

Random Vibration ◽

Gaussian Mixture ◽

Linearization Method ◽

Equivalent Linearization ◽

Nonlinear Random Vibration ◽

Equivalent Linearization Method ◽

Random Vibration Analysis

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Approximate Method for Nonlinear Random Vibration

Journal of the Engineering Mechanics Division ◽

10.1061/jmcea3.0002029 ◽

1975 ◽

Vol 101 (4) ◽

pp. 389-401 ◽

Author(s):

Yi-Kwei Wen

Keyword(s):

Approximate Method ◽

Random Vibration ◽

Nonlinear Random Vibration

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Padé-Type Approach to Nonlinear Random Vibration Analysis

Stochastic Structural Dynamics 1 ◽

10.1007/978-3-642-84531-4_9 ◽

1991 ◽

pp. 155-172

Author(s):

R. Valéry Roy ◽

Pol D. Spanos

Keyword(s):

Vibration Analysis ◽

Random Vibration ◽

Nonlinear Random Vibration ◽

Random Vibration Analysis

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Iterative solution for random vibration problems involving structure‐fluid interaction

The Journal of the Acoustical Society of America ◽

10.1121/1.2002125 ◽

1975 ◽

Vol 58 (S1) ◽

pp. S42-S42

Author(s):

Y. K. Lin

Keyword(s):

Random Vibration ◽

Iterative Solution ◽

Vibration Problems ◽

Fluid Interaction

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