复合材料层合板非线性系统随机振动的样条有限元分析

Random Vibration Spline Finite Element Analysis for Nonlinear Systems of Composite Laminates

工程结构中的复合材料的几何参数往往具有随机性质,如何研究随机参数非线性系统的随机响应及统计特性,对结构的可靠性设计和优化设计有着非常重要的意义。应用摄动法、随机中心差分法和线化和校正法,建立了复合材料非线性系统的振动方程和计算模型,采用样条有限元法研究了复合材料层合板具有随机参数的非线性系统在确定性荷载下的随机响应,数值算例说明了本算法的正确性。

Composite materials in engineering structures often have a random property in geometric parameters. How to study random response and statistical properties of nonlinear systems as a consequence of random parameters has a very important significance for structural reliability and optimization of structural design. Perturbation method, random central difference method and linearization ~. correction method were adopted to build composite nonlinear vi- bration equations and calculation model. Random responses of nonlinear systems with random parameters under deter- ministic loading of the composite laminates were studied used spline finite element method, and the corresponding nu- merical calculation shows the correctness of the algorithm.