摘要
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统计特性,这对正确估计结构设计的可靠性有着非常重要的意义.本文用样条配点法,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.
The geometric parameters of composite laminated plates are usually random due to the effect of various underministric factors in engineering structure. The study of statistical properties response of random parameter laminated plates plays an important role in the right estimation of the reliability of construction design. This article uses spline collocation method to disperse the structure of composite laminated plates, then establishes the mechanics model of composite laminated plates and studies the statistical characteristics of random parameter of antisymmetric laminated plates, derives out the displacement of laminated plates and the standard deviation between speed and accelerated apeed by using lagrange equation.
出处
《吉林师范大学学报（自然科学版）》
2004年第3期32-35,共4页
Journal of Jilin Normal University:Natural Science Edition
基金
第二批新世纪广东省高等教育教学改革工程项目基金资助课题
项目编号:粤教高[2002]157号.
