扭转支撑下简支梁弯扭屈曲分析

Flexural-Torsional Buckling Analysis of Simply Supported Beam under Torsional Bracing

采用能量变分法建立了集中荷载作用下扭转支撑简支梁弯扭屈曲的总势能方程,同时引入无量纲参数,提出了集中荷载作用下扭转支撑简支梁无量纲临界弯矩计算公式。然后,采用ANSYS有限元分析软件进行验证,分析解与理论解吻合良好,因此,提出的公式可为简支梁设计和稳定研究提供参考。

This paper presents an analytical solution for the lateral-torsional buckling of simply supported beam with torsional bracing under concentrated load by the energy variational method. By introducing dimensionless parameters, and the simple dimensionless calculating formula of the critical moment is obtained.To validate the present analytical solutions finite element analyses using ANSYS software are also presented.Good agreement between the analytical and numerical solutions is demonstrated. Hence, the proposed equation can be provided a reference for simply supported beam design and stability research.