Abstract
Large degree of uncertainties may exist simultaneously in system parameters and external excitations of engineering structures. To capture the performance of such nonlinear multi-degree-of-freedom structures is still a great challenge in stochastic dynamics. In the present paper, the probability density evolution method is adopted and extended to reduce the dimension of parametric FPK equation of an uncertain-parameter structure subjected to additively white noise process. Numerical examples validate the proposed algorithm. Problems to be further studied are discussed.
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Acknowledgments
Financial supports from the National Natural Science Foundation of China (NSFC Grant Nos. 11172210 and 51261120374), the Shuguang Program of Shanghai (Grant No.11SG21), the National Key Technology R&D Program (Grant No. 2011BAJ09B03-02) and the fundamental funding for Central Universities of China are gratefully appreciated.
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Chen, JB., Lin, PH., Li, J. (2014). PDEM-Based Response Analysis of Nonlinear Systems with Double Uncertainties. In: Papadrakakis, M., Stefanou, G. (eds) Multiscale Modeling and Uncertainty Quantification of Materials and Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-06331-7_16
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DOI: https://doi.org/10.1007/978-3-319-06331-7_16
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