A Mechanism Reliability Analysis Method Based on Polynomial Chaos Expansion
Mechanism reliability analysis method is proposed based on polynomial chaos expansion, which is adopted to approximate to the limit function in this paper. The computational efficiency of reliability analysis is improved while achieving the same accuracy level. Firstly, uncertainty input variables are transformed into standard Gaussian distribution variables and the limit function is expressed as polynomial chaos expansion using Hermite polynomial bases. Thus the complexity of polynomial chaos expansion is greatly simplified with orthogonal characteristics between Hermite polynomial and standard Gaussian distribution probability density function. Then, the Probability Collocation method is adopted to determine the coefficient of polynomial chaos expansion and achieve complete polynomial chaos expansion. On this basis, the random simulation method is used to compute the mechanism reliability. Finally, reliability analysis is carried out with this method to a four-link mechanism. After the contrast with Monte Carlo method, the results indicate that polynomial chaos expansion improves the computational efficiency while achieving the same accuracyleveL
Polynomial Chaos Expansion Mechanism Reliability Uncertainty Monte Carlo
Wensheng Shi Jianbin Guo Shengkui Zeng Jiming Ma
School of Reliability and Systems Engineering Beihang University Beijing, China
国际会议
贵阳
英文
110-115
2011-06-12（万方平台首次上网日期，不代表论文的发表时间）