具有固支边的叠层开口柱壳的解析解  

ANALYTICAL SOLUTION FOR LAMINATED OPEN CYLINDRICAL SHELL WITH CLAMPED EDGES

作　　者：盛宏玉[1] 范家让[1] 

机构地区：[1]合肥工业大学土木建筑工程学院，合肥 230009

出　　处：《复合材料学报》2000年第4期100-104,共5页Acta Materiae Compositae Sinica

基　　金：机械工业部技术发展基金资助项目(97JA0113)

摘　　要：基于三维弹性力学基本方程 ,通过引入边界位移函数 ,建立了具有固支边的叠层开口柱壳在任意荷载作用下的状态方程 ,给出静力问题的解析解。此解满足所有边界条件和层间连续条件 ,适合任意厚跨比。由于采用多项式函数假设边界位移 ,本文具有收敛快、在边界附近应力连续等特点。Based on the fundamental equations of three dimensional elasticity, and by introducing boundary displacement functions, the state equation is established for thick laminated open cylindrical shell with clamped edges subjected to arbitrary loads. An analytical static solution is presented which is suitable for any thickness to span ratios. Because all the physical quantities appearing in the state equation are just the compatible quantities at the interfaces, the present paper is extremely convenient for solving the laminates. The solution given satisfies all the boundary conditions and continuity conditions between plies. In addition, the distributions of the boundary displacements along x or θ direction are assumed by polynomial functions, the convergence of the present method is faster and the stresses are continuous nearby the boundary.

关 键 词：叠层开口柱壳 边界位移函数 解析解 弹性力学 

分 类 号：O343.8[理学—固体力学]