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A response surface approach for the static analysis of stochastic structures with geometrical nonlinearities

机译：具有几何非线性的随机结构静力分析的响应面方法

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摘要

A response surface approach for the finite element analysis of uncertain structures undergoing large displacements is presented. This method is based on the use of ad hoc response surface functions built up by ratios of polynomials. As opposite to commonly used linear or quadratic polynomials, such functions are insensitive to the sampling point positions. Once the response surface form is defined, response statistics can be approximated by analytical relationships or statistical simulation taking full advantage of sensitivity analysis. Numerical investigations demonstrated that a remarkable accuracy is achieved in the evaluation of both statistical moments and probability density functions of the response.
机译：提出了一种响应面方法，用于不确定结构在大位移情况下的有限元分析。该方法基于使用由多项式比率构成的ad hoc响应面函数。与常用的线性或二次多项式相反，此类函数对采样点位置不敏感。一旦定义了响应面形式，就可以通过分析关系或统计模拟来近似响应统计，从而充分利用敏感性分析。数值研究表明，在评估响应的统计矩和概率密度函数时，均获得了显着的准确性。

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