拱结构的弹性二次屈曲性能  

THE SECONDARY BUCKLING BEHAVIOR OF ELASTIC ARCH

作　　者：剧锦三[1] 郭彦林[1] 刘玉擎[2] 

机构地区：[1]清华大学土木系,北京100084 [2]日本九州大学土木系

出　　处：《工程力学》2002年第4期109-112,170,共5页Engineering Mechanics

基　　金：国家自然科学基金资助项目(59678028)

摘　　要：本文详细阐述了拱的非线性屈曲的两种形式,即极值点屈曲和二次分叉屈曲;建立了一种简捷的计算二次分叉屈曲的方法,并且通过例题证实了其可靠性;通过对拱屈曲前后荷载--位移曲线的全过程分析,研究了矢跨比下拱的各种屈曲性能;提出的索--拱杂交结构能显著地提高拱的承载力并能有效地防止二次分叉屈曲的发生,计算结果对拱的设计有参考价值。The two kinds of nonlinear buckling (primary buckling and secondary bifurcation buckling) of elastic arches are elaborated in detail. One kind of compact method of solving secondary bifurcation buckling is recommended, which is identified credible by examples. A full load-displacement equilibrium path is obtained by using the large deflection (displacement) finite element approach, in conjunction with arc-length method and Newton-Raphson iteration. The instability behavior of the arch with different rise-span ratios is investigated theoretically. Finally, a new kind of structure that is hybridized by arch and tensile cables is presented and analyzed in order to enhance its load-carrying capacity and to prevent the arch from the secondary bifurcation buckling. Some useful conclusions for the design of the arch are drawn.

关 键 词：弹性二次屈曲性能 极值点屈曲 二交分叉屈曲 线性屈曲 拱结构 矢跨比 极限承载力 

分 类 号：TU313[建筑科学—结构工程]