Structural Reliability Assessment by a Modified Spectral Stochastic Meshless Local Petrov-Galerkin Method
- 1 Department of Accounting and Information System, Chang-Jung Christian University, Tainan, Chinese Taipei Department of Civil Engineering, Feng-Chia University, Taichung, Chinese Taipei
Abstract
This study presents a new tool for solving stochastic boundary-value problems. This tool is created by modify the pre vious spectral stochastic meshless local Petrov-Galerkin method using the MLPG5 scheme. This modified spectral sto chastic meshless local Petrov-Galerkin method is selectively applied to predict the structural failure probability with the uncertainty in the spatial variability of mechanical properties. Except for the MLPG5 scheme, deriving the proposed spectral stochastic meshless local Petrov-Galerkin formulation adopts generalized polynomial chaos expansions of ran dom mechanical properties. Predicting the structural failure probability is based on the first-order reliability method. Further comparing the spectral stochastic finite element-based and meshless local Petrov-Galerkin-based predicted structural failure probabilities indicates that the proposed spectral stochastic meshless local Petrov-Galerkin method predicts the more accurate structural failure probability than the spectral stochastic finite element method does. In addi tion, generating spectral stochastic meshless local Petrov-Galerkin results are considerably time-saving than generating Monte-Carlo simulation results does. In conclusion, the spectral stochastic meshless local Petrov-Galerkin method serves as a time-saving tool for solving stochastic boundary-value problems sufficiently accurately.
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