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.
作者
刘璐璐
刘爱荣
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)
出处
《工程力学》
EI
CSCD
北大核心
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)。
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
circular arch
T-section
a central radial concentrated load
flexural-torsional instability
monosymmetry parameters
