摘要
薄壁园柱形容器是常用的一种特殊结构形式,对它的计算方法一直是工程设计人员十分关切的问题。本文从功的互等定理出发,导出了薄壁园柱形容器微分方程的四组基本解,建立了求解其内力的边界方程组,这种方法适用于任意轴对称荷载、任意边界条件的园柱形容器器壁的内力分析。文中计算了若干算例,结果是令人满意的。
The thin-walled cylindrical container is commonly used as a kind of special structural form. Designers often pay much attention to its computing method. This paper deduces four groups of fundamental solutions to the differential equation of cylindrical wall by using the reciprocal work theorem, sets up a boundary equation group in solving its internal force. The method in this paper is applicable to the analysis of internal forces in the wall of circular cylinders with arbitrary axisymmeterical loading and arbitrary boundary conditions. Several examples are calculated and the results are satisfactory.
出处
《山东建筑大学学报》
1991年第1期9-16,共8页
Journal of Shandong Jianzhu University
关键词
Betti互等定理
边界元法
环基本解
Betti exchange theorem
Boundary element method
Round fundamental solution
