拱结构在径向均布荷载下面内稳定的几何非线性分析

Geometric Nonlinear Analysis of In-plane Stability for Arch Structure under the Uniformly Distributed Load in Radial Direction

薄壁拱结构作为受压为主的结构体系,其稳定性问题是在结构分析中需要重点考虑的因素之一。基于能量泛函变分原理,研究了薄壁拱结构在径向均布荷载下考虑剪力滞效应和几何非线性的稳定临界荷载,分析了薄壁拱结构临界荷载的影响因素。结果表明,几何非线性对拱的临界荷载影响很小,可忽略不计;剪力滞的影响则取决于拱的几何参数;其中,拱轴弧长和拱截面翼缘宽度是主要的影响因素,特别是拱轴弧长较小和翼缘宽度较大时,必须考虑剪力滞对稳定性影响。

Since thin arch structures are the system to bear mainly compress force,the stability problem should be considered with emphasis in the structure analysis.Based on energy functional variational principle,the stability critical load of the thin-wall arch structure considering the shear lag effect and geometry nonlinearity are studied,and the factors affecting the critical load of thin-wall arch structure are analyzed.It is shown that the geometric nonlinearity has little influence on the critical load of arch,which could be negligible.The impaction of shear lag depends on the geometric parameters of arch,among which the arch axis length and flange width of arch cross section are the main influence factors.The shear lag effect on stability must be considered especially in the smaller arch axis length and the larger flange width.