Multiple-peak probability density function of non-linear oscillators under Gaussian white noise-Reference-Cited by-同舟云学术

Multiple-peak probability density function of non-linear oscillators under Gaussian white noise

Published:2013-01 Issue: Volume:31 Page:46-51
ISSN:0266-8920
Container-title:Probabilistic Engineering Mechanics
language:en
Short-container-title:Probabilistic Engineering Mechanics

Author:

Zhu H.T.

Funder

National Natural Science Foundation of China

Self-Innovation Foundation of Tianjin University

Publisher

Elsevier BV

Subject

Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Condensed Matter Physics,Nuclear Energy and Engineering,Civil and Structural Engineering,Statistical and Nonlinear Physics

Reference19 articles.

1. Equivalent linearization techniques;Caughey;Journal of the Acoustical Society of America,1963

2. Stochastic linearization in structural dynamics;Spanos;ASME Applied Mechanics Reviews,1981

3. Random vibration and statistical linearization;Roberts,2003

4. Linearization methods for stochastic dynamic systems;Socha,2008

5. On the existence and uniqueness of solutions generated by equivalent linearization;Spanos;International Journal of Non-Linear Mechanics,1978

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