The Solution to the Destabilizing Critical Load of Circular Double Articulated Arch Under Going Vertical Distributive Load g 0/ cos2θ
-
摘要: 在计入轴力对拱弯曲的影响后,建立了圆弧双铰拱在垂直分布荷载g0/cos2θ作用下的总势能.按Ritz法求得在该荷载作用下具有足够工程精度的拱失稳临界力的第4次近似值,并与圆弧双铰拱受径向均布荷载作用的情况作了比较,得到一些可供参考的结果.
-
关键词:
- 圆弧双铰拱 /
- 垂直分布荷载g0/cos2θ /
- 失稳临界力
Abstract: In this paper,after taking the effect of axis force on bending into consideration,the general poteneial energy for the circlular double articulated arch is established undergoing vertical distributive load g0/cos2θ.With sufficient engineering precision,the fourth approximations to the destablizing critical load of the arch under this load are obtained by Ritz method.The approximations to the critical load table are listed for various center angles of arch,and are contrasted with the critical load circular arch undergoing radial uniform load.Some reference results have been obtained. -
[1] 林同炎.拱是结构也是建筑物[J].土木工程学报,1997,30(3):9～15. [2] Ржаницдын А Р.Устойчвость Равновесия Упругих Систем[M].Моссква:Государственное Издательство Технцко-Теоретической Литературы,1955,429～431. [3] 黎绍敏.稳定理论[M],北京:人民交通出版社,1989,195～201. [4] 梁炳文.弹塑性稳定理论[M],北京:国防工业出版社,1983,72～84. [5] 潘岳.圆环失稳临界压力的突变理论解法[J].力学与实践,1991,5:26～27. [6] 潘岳.巷道“封闭式”冲击的尖点变变模型[J].岩土力学,1994,1:34～41. [7] 《数学手册》编写组.数学手册[M],北京:人民教育出版社,1979,227,231. [8] 何旭成,苏煜城.计算数学简明教程[M].北京:高等教育出版社,1988,116～118. [9] 唐家祥,王仕统.结构稳定理论[M].北京:中国铁道出版社,1989,100～105. [10] 夏志斌,潘有昌.结构稳定理论[M],上海:高等教育出版社,1988,81～83. [11] 吴明德,弹性杆件稳定理论[M],北京:高等教育出版社,1988,155～160. -
点击查看大图
计量
- 文章访问数: 1969
- HTML全文浏览量: 36
- PDF下载量: 572
- 被引次数: 0
下载:
