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Published in:
2013 | OriginalPaper | Chapter
On Reliability Evaluation of Structures Using Hermite Polynomial Chaos
Authors : Sabarethinam Kameshwar, Arunasis Chakraborty
Published in: Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012)
Publisher: Springer India
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Abstract
Reliability assessment using first- or second-order methods (FORM or SORM) demands evaluation of first derivative (i.e., slope) of the limit, which is often difficult to evaluate for real-life structures due to limited information about the performance function. To avoid this, present study aims to use stochastic response surface methodology (SRSM) to evaluate the reliability of the structure. In this method, uncertainty is modeled using series expansion of standard normal random variables (i.e., polynomial chaos expansion). The coefficients of the polynomial chaos expansion are obtained by stochastic collocation which demands limited number of evaluation of the performance function. Once the order of the polynomial and the coefficients is evaluated, reliability index is obtained by FORM. Numerical examples are presented to show the applicability of the proposed SRSM-based reliability analysis.