A Spectral Approach For Analyzing Structures With Random Parameters

建议开展一项研究计划， 用于处理涉及结构的结构工程问题 具有不确定的（随机的）属性和负载。 所提出的概念 取决于随机过程的近似表示 描述材料特性或结构载荷， 有限个随机变量。 这将通过使用 Karhunen-Loeve和多项式的经典概念 混沌扩张 在拟议的计划中，这些扩展将 被纳入结构元素的空间离散化 例如梁和板，根据标准有限 要素程序。

It is proposed to conduct a research program featuring a concept for treating structural engineering problems involving structures with uncertain (random) properties and loads. The proposed concept hinges upon the approximate representation of random processes describing the material properties or the structural loads by a finite number of random variables. This will be accomplished using the classical concepts of the Karhunen-Loeve and the Polynomials Chaos expansions. In the proposed program, these expansions will be incorporated into spatial discretizations of structural elements such as beams and plates, in accordance with standard finite element procedures.