摘要
本文运用混合型级数方法,导出了局部竖向荷载作用下横向简支圆柱形薄壳的解析解,并给出了在五种局部竖向荷载作用下解的解析式.文中给出了纵边自由的圆柱形薄壳屋顶算例,计算结果表明了级数具有较好的收敛性.本文结果可以处理地下结构中的若干实际问题.
In this paper, we use the method of mixed-type series to derive the analytical solutions of cylindrical shell, which is simply supported along the transverse edges and subjected to the local vertical loads, and give the analytical expressions of the solutions for this kind of shell under five types of local vertical loading. A numerical example for a cylindrical shell roof, which is simply supported along the transverse edges and is free along the longitudinal edges, is given in this paper and from the calculated results it may be seen that the convergence of the solutions is considerably satisfactory. Using the solutions of this paper, we can deal with some practical problems of underground structure.
出处
《应用数学和力学》
EI
CSCD
北大核心
1990年第2期179-188,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金
建设部科学技术发展基金联合资助项目
