Stochastic analysis of time-variant nonlinear dynamic systems. Part 2: Methods of statistical moments, statistical linearization and the FPK equation |
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| Authors: | SV Ulyanov M Feng VS Ulyanov K Yamafuji |
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| Affiliation: | aDepartment of Mechanical and Control Engineering, The University of Electro-Communications, Chofu, Tokyo 182, Japan;bDepartment of Civil and Environmental Engineering, Engineering Gateway E4139, University of California, Irvine, CA 92717, USA |
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| Abstract: | In this, the second of a two part paper, the applications of the Fokker-Planck-Kolmogorov (FPK) method to stochastic analysis of time-variant nonlinear systems are considered. A new class of dynamic systems with stochastic nonlinearity and jump parametric exitations is introduced. The comparison of accuracy of different statistical methods such as statistical linearization is discussed. |
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