Journal of Xidian University

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Dynamic reliability analysis of spacial flexible beam

JIN Hongling1,2;GUO Chengyang1;CHEN Jun1;CHEN Jianjun2   

  1. (1. School of Mechano-electronic Engineering, Northwest A&F Univ., Yangling 712100, China;
    2. Ministry of Education Key Lab. of Electronic Equipment Structure, Xidian Univ., Xi'an 710071, China)
  • Received:2016-12-09 Online:2017-12-20 Published:2018-01-18

Abstract:

In order to investigate the dynamic response reliability of the spacial flexible beam, the Monomial Cubature Rules (MCR) based Stochastic Response Surface Method (SRSM) is applied to derive the surrogate model of the nonlinear implicit limit state function. A small set of sample pairs for flexible beam dynamic response is generated by taking the integral points of MCR as sample points. Based on these sample pairs and SRSM, the surrogate model of the implicit limit state function is established. The results show that the proposed method has an excellent performance in terms of accuracy and efficiency compared with the Probabilistic Collection Method (PCM) based SRSM and Monte Carlo method, and that the dispersion of system parameters has a significant effect on the dynamic response reliability of the spacial flexible beam.

Key words: probabilistic parameter, spacial flexible beam, stochastic response surface method, monomial cubature rules, dynamic reliability