基于随机场的动力分析

Dynamic Analysis Based on Stochastic Field

考虑材料空间多样性,材料性能特性例如弹性模量或波松比被看成随机过程。本文采用随机场的中心点方法,在材料性能特性、几何尺寸、所受载荷被看成随机的情况下,结构振动方程先用Newmark法转化为静力问题。二阶Taylor展开随机有限元被用于结构振动分析,推导简单,易于编程。给出了基于随机有限元的混凝土悬臂梁的振动分析的一个计算实例,对计算结果做了比较,本文提出的方法是有效的。

Due to spatial variability of material property,Young＇s modulus is assumed to be a stochastic process.The midpoint method of stochastic field is adopted.Material properties,geometry parameters and applied loads are assumed to be stochastic;the vibration equation of structure is transformed to a static problem using the Newmark method.The Taylor expansion stochastic finite element method（TSFEM） is extended for the structural vibration analysis,which is easy to derive and program.An example is given respectively and calculated results are compared to validate the proposed method.