刘璐璐, 刘爱荣, 卢汉文. T型截面拱在拱顶集中力作用下的平面外弯扭失稳[J]. 工程力学, 2020, 37(S): 151-156. DOI: 10.6052/j.issn.1000-4750.2019.04.S026
引用本文: 刘璐璐, 刘爱荣, 卢汉文. T型截面拱在拱顶集中力作用下的平面外弯扭失稳[J]. 工程力学, 2020, 37(S): 151-156. DOI: 10.6052/j.issn.1000-4750.2019.04.S026
LIU Lu-lu, LIU Ai-rong, LU Han-wen. FLEXURAL-TORSIONAL BUCKLING OF PIN-ENDED ARCHES WITH T-SECTION UNDER A CENTRAL RADIAL CONCENTRATED LOAD[J]. Engineering Mechanics, 2020, 37(S): 151-156. DOI: 10.6052/j.issn.1000-4750.2019.04.S026
Citation: LIU Lu-lu, LIU Ai-rong, LU Han-wen. FLEXURAL-TORSIONAL BUCKLING OF PIN-ENDED ARCHES WITH T-SECTION UNDER A CENTRAL RADIAL CONCENTRATED LOAD[J]. Engineering Mechanics, 2020, 37(S): 151-156. DOI: 10.6052/j.issn.1000-4750.2019.04.S026

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

  • 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Rayleigh-Ritz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。

     

    Abstract: 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 parameters βx affects the flexural-torsional buckling load obviously while the shear deformation affects the flexural-torsional buckling load of shallow arches significantly.

     

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