均匀径向荷载下具有端部扭簧约束拱的稳定性研究

Research on the Stability of Arch with Torsional Spring End Restriction under Uniform Radial Load

拱式结构是建筑工程中的常用结构之一,拱的端部约束对拱的稳定性有着重要影响。通过研究具有端部扭簧约束的拱在均匀径向荷载作用下的稳定性,得出了其屈曲临界载荷与扭簧刚度之间的解析关系。当扭簧刚度趋于零时,结果退化为两端铰支拱的临界荷载;当扭簧刚度趋于无穷大时,结果退化为两端固定拱的临界荷载。最后,利用解析关系分析了扭簧刚度对拱的临界荷载的影响,研究结果对实体工程具有一定的参考价值。

Arch is one of the common structure in building engineering. The end restriction plays an important role in the stability of arch. Here,through the research on the stability of the arch with torsional spring end restriction and under uniform radial load,it has concluded the analytic relation between critical buckling load and stiffness. When the stiffness of the torsional spring approaches zero, the result is that it will degenerate into critical load of bi-end hinged arch; when the stiffness of torsional spring approaches infinite,it will be degenerate into critical load of bi-end fixed arch. Finally,analytic relation has been used for the analysis of the influence of the stiffness of torsional spring on the critical load of arch. The research result here will be a valuable reference to physical work.