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Stochastic Isogeometric Analysis for Reliability Evaluation of Shell Structures Based on Multi-scale Support Vector Regression

A new metamodeling approach within isogeometric analysis (IGA) scheme is proposed in this paper to implement the stochastic structural reliability analysis of shell structures. The T-spline model is applied for the low-cost computation and exact geometric representation in analysis. The spatially dependent random material properties are considered and the density-dependent spatial clustering based multi-scale support vector regression (DCMSSVR) is developed for uncertainty quantification. A Cassegrain antenna example is investigated thoroughly, the results of which demonstrate that the proposed DCMSSVR approach have great performance in estimating the statistical characteristics of concerned structural displacement and thus the structural reliability with relatively small number of training samples.