Explicit expression of stationary response probability density for nonlinear stochastic systems

Author:

Jin Xiaoling,Tian Yanping,Wang Yong,Huang Zhilong

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference34 articles.

1. Lin, Y.K., Cai, G.Q.: Probabilistic Structural Dynamics: Advanced Theory and Applications. McGraw-Hill, New York (1995)

2. Roberts, J.B., Spanos, P.D.: Random Vibration and Statistical Linearization. Wiley, New York (1990)

3. Shinozuka, M.: Monte Carlo solution of structural dynamics. Comput. Struct. 2, 855–874 (1972)

4. Zhu, W.Q.: Nonlinear stochastic dynamics and control in Hamiltonian formulation. ASME Appl. Mech. Rev. 59, 230–248 (2006)

5. Andronov, A.A., Pontryagin, L.S., Witt, A.A.: On the statistical investigation of dynamical systems. Zh. Eksp. Teor. Fiz. 3, 165–180 (1933). ((in Russian))

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