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Acta Armamentarii ›› 2018, Vol. 39 ›› Issue (3): 590-597.doi: 10.3969/j.issn.1000-1093.2018.03.022

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Hierarchical Response Surface Modeling and Reliability Analysis of Complex Mechanical System Based on Composite Function

WANG Qian1,2, ZHANG Jian-guo1,2, PENG Wen-sheng1,3, YANG Le-chang1,2   

  1. (1.School of Reliability and System Engineering, Beihang University, Beijing 100191, China;2.Science and Technology Laboratory on Reliability and Environment Engineering, Beihang University, Beijing 100191, China;3.AVIC China Aero-Polytechnology Establishment, Beijing 100028, China)
  • Received:2017-06-12 Revised:2017-06-12 Online:2018-05-07

Abstract: A hierarchical response surface method (HRSM) based on composite functions is proposed for the reliability assessment of complex mechanical systems. According to the structure and composition of the system and the physical relationship, the proposed method is used to establish the basic variables and the response functions of the parts as the middle-level nodes. For the system performance affected by some basic variables and the above middle-level response functions, HRSM is used to construct the response surface model of the limit state as the top-level node. The first-order second-moment method and Monte Carlo method are used for solving the system failure probability. Taking a two-axis-position mechanism as an example, HRSM is successfully applied to model and analyze the motion accuracy reliability on the basis of error propagation. The maximum failure probability of HRSM is almost the same as the output of Monte Carlo simulation, and does not fluctuate with the sample coefficient, which fully verifies the validity and robustness of HRSM.Key

Key words: two-axis-positionmechanism, reliability, compositefunction, hierarchicalresponsesurface

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