摘要
采用复级数方法首次建立了任意铺设复合材料矩形板横向弯曲一般解析解．引入（U，V，W）＝∑（A，B，C）exp（imπξ）exp（imπηr），并代人层合板平衡方程组，推出实数型级数解，将其回代入平衡方程组中任两个，可确定待定系数（A，B，C）之间关系；引入将3个平衡方程归并为一个8阶偏微分方程的方法给出问题特解．将一般解析解代入边界条件，用余弦级数的方法确定待求系数．给出算例以验证解的有效性．
General analytic solutions for transverse bending of general-ply composite rectangular thinplate is obtained at the first by the complex series method (CSM)[5]. The displacement functions of theproblem are assumed in the form as given below: (U,V,W) = (A,B,C)exp (imπ)exp (imπηr). Substi-tution (U,V,W) into a group of equilibrium equation leads to the solutions of real series form. The rela-tionship between the coefficients (A, B,C) is achieved by substituting (U,V, W) of real series form intotwo of equilibrium equation group. Special solutions are given by the newly-typed method that threeequilibrium equations has been reduced to a single 8th order partial differential equation. The generalanalytic solutions satisfy the boundry conditions and the unsolved coefficients are worked out by the cosineseries method. Numerical examples are presented to verify the efficiency of the present solutions.
出处
《强度与环境》
1998年第4期39-48,共10页
Structure & Environment Engineering
关键词
复合材料
矩形板
弯曲
级数解法
Composite material, Rectangular plate, Bending, Method of development in series
