Reliability and Sensitivity Analysis of Mechanical Structures Based on Dimension Reduction Method

Shu Xin Zhang; Kai Chao Yu

doi:10.4028/www.scientific.net/AMM.635-637.411

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 635-637Reliability and Sensitivity Analysis of Mechanical...

Reliability and Sensitivity Analysis of Mechanical Structures Based on Dimension Reduction Method

Abstract:

This paper presents a method for probabilistic sensitivity analysis of mechanical components or structural systems subject to random uncertainties in loads, material properties and geometry. The bi-variate dimension reduction method is applied to compute the response moments and their sensitivities with respect to the distribution parameters of basic random variables. Saddlepoint approximations with truncated cumulant generating functions are employed to estimate the probability density functions and cumulative distribution functions of the random responses. The rigorous analytic derivation of the sensitivities of the probability of failure of the systems under consideration with respect to the distribution parameters of basic random variables is derived. Finally, the practicality and efficiency of the proposed method are demonstrated by an application example.

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Periodical:

Applied Mechanics and Materials (Volumes 635-637)

Pages:

411-416

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.635-637.411

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Online since:

September 2014

Authors:

Shu Xin Zhang, Kai Chao Yu*

Keywords:

Dimension Reduction Method, Reliability, Saddlepoint Approximation, Sensitivity

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* - Corresponding Author

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