On improved stochastic averaging procedure

Author:

Zhu W.Q.,Yu J.S.,Lin Y.K.

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

Reference12 articles.

1. A limit theorem for the solutions of differential equations with random right-hand sides;Khasminskii;Theory Probability App.,1966

2. Stochastic averaging: an approximate method of solving random vibration problems;Roberts;Int. J. Non-linear Mech.,1986

3. Stochastic averaging in random vibrations;Zhu;Appl. Mech. Rev.,1988

4. On the relation between ordinary and stochastic equations;Wong;Int. J. Engng Sci.,1965

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1. Application of High Order Averaging Method to Van Der Pol Oscillator;Advances in Asian Mechanism and Machine Science;2021-12-15

2. On probabilistic yielding of materials;Communications in Numerical Methods in Engineering;2009-03

3. The role of nonlinear hardening/softening in probabilistic elasto-plasticity;International Journal for Numerical and Analytical Methods in Geomechanics;2007

4. Methods of nonlinear random vibration analysis;Sadhana;1995-04

5. Stochastic linearization method with random parameters for SDOF nonlinear dynamical systems: prediction and identification procedures;Probabilistic Engineering Mechanics;1995-01

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