对称迭层矩形板的静力分析  

Static analysis of symmetric laminated rectangular plates

作　　者：黄炎[1] 王锋[1] 张宝泉[2] 

机构地区：[1]国防科学技术大学 [2]73661部队

出　　处：《湖南理工学院学报（自然科学版）》2007年第3期43-46,共4页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：国家自然科学基金项目(19872076);国家863资助项目(2002AA001006)

摘　　要：对称迭层板为对称的各向异性板。根据各向异性矩形板弯曲的横向位移函数偏微分方程,建立了可以求解任意边界条件下承受任意载荷作用的弯曲问题的一般解。一般解中的积分常数可由边界条件来决定。沿每个边有两个边界条件:挠度或等效剪力,斜度或弯矩应分别等于沿边界的已给值。同时在角点还有角点条件:挠度或反力应等于角点的已给值。例如对四边简支的承受均布载荷或集中载荷的方板进行了计算。On the bases of partial differential equation for transverse displacement function of anisotropic rectangular plates in bending, a general solution which can be used to solve the bending problem for arbitrary loading with whatever boundaries. The integral constants in general solution can be determined by boundary conditions. Along each edge there are two edge conditions： deflection or equivalent shearing force, slope or bending moments should be equal to the given value along the edges respectively. While at the comer there are comer conditions： deflection or reaction also. For example, a square plate with four edges simply supported and loaded uniformly distributed or concentrated have been calculated, This general analytical method gives the accurate solution.

关 键 词：各向异性 矩形板 弯曲 载荷 边界条件 

分 类 号：O343.9[理学—固体力学]