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圆形贮液池弯矩分配传递无限次的闭合解
引用本文:徐汉忠,姚丽章,律海燕,周兰庭. 圆形贮液池弯矩分配传递无限次的闭合解[J]. 南京理工大学学报(自然科学版), 2002, 26(5): 534-538,560
作者姓名:徐汉忠  姚丽章  律海燕  周兰庭
作者单位:河海大学土木工程学院,南京,210098
摘    要:该文对由顶板、底板和圆柱形池壁组成的圆形贮液池在轴对称荷载作用下进行内力分析,池壁上、下端的圆周视为弹性嵌圆结点,用圆柱壳理论计算池壁的固端弯矩,用薄板弯曲理论计算顶板和底板的固端弯矩,从而求得上、下2个结点的不平衡力矩,然后用弯矩分配法对结点的不平衡力矩进行无数次分配传递,求得无数次分配弯矩和传递弯矩之和,得闭合解。文中给出了算例。

关 键 词:圆形贮液池 圆柱壳 薄板弯曲 闭合解 弯矩分配法 内力分析 无限次分配传递

Closed Solutions of Cylindrical Pools by Summing up Distributed and Carried Over Moments Infinitely
XuHanzhong YaoLizhang LuHaiyan ZhouLanting. Closed Solutions of Cylindrical Pools by Summing up Distributed and Carried Over Moments Infinitely[J]. Journal of Nanjing University of Science and Technology(Nature Science), 2002, 26(5): 534-538,560
Authors:XuHanzhong YaoLizhang LuHaiyan ZhouLanting
Abstract:In this paper cylindrical pools with upper and bottom plates under the action of symmetric loads are discussed.The circular edges of upper and bottom plates are considered as two elastic joints. The cylindrical walls are studied and the fixed end moments are obtained by using the theory of shells. The upper and bottom plates are studied and the fixed end moments are also obtained by using the theory of thin plate. The unbalanced joint moments are distributed and carried over infinitely to obtain closed solutions which is expressed by distribution factors and carried over factors.Examples are given in the paper.
Keywords:cylindrical pools  cylindrical shell  plate bending  closed solution  moment distribution method
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