复合材料层合板随机参数结构的响应分析

工程结构中的复合材料层合板的几何参数往往具有随机性质。如何研究随机参数层合板的动力响应。这对正确估计结构设计的可靠性有着非常重要的意义。本文用随机摄动法，将复合材料层合板结构离散后。应用Lagrange方程，建立了复合材料层合板的力学模型，研究了随机参数反对称层合板响应的统计特性。推导出层合板位移，速度和加速度的标准差。在数值算例中，对于各种边界条件，选择样条函数作为振型函数。用样条配点法求出了结构的位移响应量及统计特征值，并与Newmark法进行了比较，验证了该方法的有效性。

Responding Analysis for Random Parameter Construction of Composite Material Laminated Plates

The geometrie parameters of composite material laminated plates are usually random due to the effect of various underministric factors in engineering structure. The study of dynamic response of random parameter laminated plates plays an important role in the right estimation of the reliability of construction design.Random perturbation law is used to disperse the structure of composite material laminated plated, then the mechanics model of composited material laminated paltes is established and the statistical characteristics of random parameter of antisymmetrical laminated plates are studied,the displacement of laminated plates and the standard deviation between speed and accelerated speed by using lagrange equation are derived out.In several numerial examples,with the funetions choosed as mode shape funtion for various boundary condition,dynamic respones problems are solved by adopting spline collolation method.And the results,compared with those in Newmark's method,verify the efficacy of the method above mentioned.