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PDEM-Based Response Analysis of Nonlinear Systems with Double Uncertainties

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Multiscale Modeling and Uncertainty Quantification of Materials and Structures

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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Authors and Affiliations

  1. School of Civil Engineering and State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, 200092, China

    Jian-Bing Chen, Pei-Hui Lin & Jie Li

Authors
  1. Jian-Bing Chen
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  2. Pei-Hui Lin
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  3. Jie Li
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Corresponding author

Correspondence to Jian-Bing Chen .

Editor information

Editors and Affiliations

  1. Institute of Structural Analysis & Antiseismic Research, National Technical University of Athens, Athens, Greece

    Manolis Papadrakakis

  2. Institute of Structural Analysis & Antiseismic Research, National Technical University of Athens, Athens, Greece

    George Stefanou

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06330-0

  • Online ISBN: 978-3-319-06331-7

  • eBook Packages: EngineeringEngineering (R0)

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