处理一类非线性与线性组合结构的混合边界条件方法
The Method of Mixed Boundary Condition for a Kind of Linear and Nonlinear Composite Structure
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摘要: 本文处理边界与线弹性结构连接的扁壳轴对称大挠度问题,提出了处理此类问题的混合边界条件方法,将组合问题转化为独立结构问题。给出了问题的积分方程组,用摄动法求得了解答。计算了扁球壳与柱壳组合问题的算例。Abstract: This paper deals with the aaisymmetrical deformation of shallow shells in large deflection, which are in conjunction with linear elastic structures at the boundary. A method of mired boundary condition for this problem is introduced, then the problem of a composite structure is transformed into a problem of a sinlgle structure and the integral equatiaus are given, The perturbation method is used to obtain the solutions and an eaemple of composite structure consisting of a shallow spherical and a cylindrical shell is presented.
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[1] Феодосъев В.И.,Уnруuе Злеменmы Точноо Прuборосmроенuя,Оборонгиэ(1949) [2] 陈山林,圆板大挠度的钱伟长解及其渐近特性.应用数学和力学,3, 4 (1982).513-518. [3] 陈山林,板和扁壳大挠度问题摄动参数的最小二乘法选择,上海国际非线性力学会议论文集,上海,(1985). [4] 刘人怀、陈山林,椭球封头中心开孔接管的强度问题,兰州大学科技专刊,1 (1973), 14-28. -
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