（天津大学建筑工程学院， 天津 300072）

［摘要］拱结构是一种主要承受轴向压力并由两端推力维持平衡的曲线或折线形结构，因具有造型优美、刚度大和经济效益好等诸多优势被广泛应用于结构工程领域。然而，拱结构也有不足之处，其在外荷载作用下容易发生失稳现象。为了改善拱结构的稳定性能，对刚性构件补强下的拱结构进行了理论研究，提出了圆拱结构在补强条件下的圆拱-弹簧模型，利用圆拱结构在均布荷载下位移的广义解推导出该模型在铰接和刚接边界条件的屈曲控制方程，并利用有限元的线性屈曲分析方法验证了本文中推导的屈曲控制方程的有效性。

［关键词］拱结构； 刚性构件； 屈曲控制方程； 面外稳定性； 线性屈曲分析方法

中图分类号：TU393-3， TU208-5， TU375-5文献标识码：A文章编号：1002-848X(2020)23-0031-06

Theoretical research on the out-of-plane stability of arch structures reinforced by rigid components

CHEN Kun, CHEN Zhihua, LIU Jiadi

（School of Civil Engineering, Tianjin University， Tianjin 300072, China）

Abstract:The arch structure is a curved or folding structure that mainly bears axial pressure and is balanced by the thrust of both ends. It has been widely used in the field of structural engineering because of its advantages such as beautiful shape, high rigidity and good economic efficiency. However, the arch structure also has its deficiencies, it is easy to lose stability under external load. In order to improve the stability of arch structure, the arch structure reinforced by rigid components was theoretical researched, and circular arch-spring model under the reinforcement condition was proposed. In arch-spring model, the generalized solution of displacement of the circular arch structure under the uniform load was used to derive the buckling control equation of the model under the hinged and rigid boundary conditions. The finite element linear buckling analysis method was used to verify the effectiveness of bucking control equation.

Keywords:arch structure； rigid component； buckling control equation； out-of-plane stability； linear buckling analysis method

*国家自然基金项目（51478310）。

作者简介：陈坤，博士，Email:shusandan@126.com； 通信作者：刘佳迪，博士，讲师，Email:jdliu@tju.edu.cn。