T型截面拱在拱顶集中力作用下的平面外弯扭失稳  

FLEXURAL-TORSIONAL BUCKLING OF PIN-ENDED ARCHES WITH T-SECTION UNDER A CENTRAL RADIAL CONCENTRATED LOAD

作　　者：刘璐璐 刘爱荣[1] 卢汉文 LIU Lu-lu;LIU Ai-rong;LU Han-wen(Guangzhou University-Tamkang University Joint Research Center for Engineering Structure Disaster Prevention and Control,Guangzhou,Guangdong 510006,China;Foshan University,Foshan,Guangdong 528225,China)

机构地区：[1]广州大学-淡江大学工程结构灾害与控制联合研究中心,广东广州510006 [2]佛山科学技术学院,广东佛山528225

出　　处：《工程力学》2020年第S01期151-156,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(51578188);广东市科技计划国际合作项目(201807010021)。

摘　　要：该文以在拱顶径向集中力作用下T型截面两端铰接圆弧拱为研究对象,考虑了剪切变形的影响,推导了适用于单轴对称截面的应变与位移函数关系。求解了拱屈曲前精确的内力。再根据势能驻值原理和RayleighRitz法推导了T型截面圆弧拱弯扭屈曲荷载解析解,并与有限元数值结果进行了比较,二者吻合较好,证明了理论解的正确性。研究发现,单轴对称参数βx对弯扭屈曲荷载的影响明显,且剪切变形对较浅的拱影响较为明显。It focus on the flexural-torsional buckling load of pin-ended arches with T-section under a central concentrated load.In this paper,the strain-displacement relationship of T-section is obtained considering the influence of shear deformation.And then accurate prebuckling analyses for in-plane internal forces are performed.According to the principle of stationary potential energy and Rayleigh-Ritz method,the analytical solution for the flexural-torsional buckling load of T-section arch is obtained.The theoretical results of the flexural-torsional buckling loads are in good agreement with the finite element results,which demonstrates the correctness of the theoretical analysis.It is found that the monosymmetry parametersβx affects the flexural-torsional buckling load obviously while the shear deformation affects the flexural-torsional buckling load of shallow arches significantly.

关 键 词：圆弧拱 T型截面 拱顶径向集中力 弯扭失稳 单轴对称参数 

分 类 号：TU312[建筑科学—结构工程]