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Acta Armamentarii ›› 2021, Vol. 42 ›› Issue (1): 175-184.doi: 10.3969/j.issn.1000-1093.2021.01.020

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An Analysis Method for Nonlinear Structural Reliability Based on Gradient Search Method

CHEN Pengfei1, HE Peng1, YU Tailong1, LIU Qiaoling2   

  1. (1.School of Mechanical Engineering, Changchun University of Technology, Changchun 130012, Jilin, China;2.School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, Jilin, China)
  • Online:2021-03-11

Abstract: Many engineering structures have strong nonlinear characteristics and their functions are implicit. It is difficult to analyze the reliability of engineering structures accurately and efficiently. A sensitivity analysis method of strong nonlinear structural reliability based on gradient search method is proposed. Based on the implicit function of engineering structure, the gradient information near the initial sampling point is calculated by using the difference method. Then the gradient search method of checking point is used to obtain the limit state point at the minimum distance from the limit state surface corresponding to the sampling point, through which the limit state surface is linearly expanded by Taylor expansion method. A set of training samples near the limit state surface are obtained through several iterative searches. On this basis, the polynomial function and response surface function are used to fit the limit state equation to calculate the reliability and reliability sensitivity. The numerical and engineering examples show that the proposed method has the advantages of high accuracy and less sampling times compared with the previous methods, and it is suitable for the reliability analysis of strong nonlinear implicit structures.

Key words: nonlinearstructure, gradientsearchmethod, mostprobablepoint, Taylorexpansionmethod, reliabilitysensitivityanalysis

CLC Number: