平面钢结构的几何非线性分析  

Geometrical nonlinear analysis of plane steel structures

作　　者：徐伟良[1] 王星[2] 蒋菡[1] 

机构地区：[1]浙江工业大学职业技术教育学院,浙江杭州310032 [2]浙江工业大学建筑工程学院,浙江杭州310032

出　　处：《浙江工业大学学报》2002年第5期437-440,共4页Journal of Zhejiang University of Technology

摘　　要：高层钢框架结构体系由于其高宽比较大 ,柱截面尺寸相对较小 ,则当其承受较大的竖向荷载时 ,几何非线性的P Delta效应将成为影响结构工作性能的主要因素。本文以高层钢框架为研究对象 ,应用非线性连续介质力学的有限变形理论和泛函的势能驻值原理 ,建立了U .L .列式的结构几何非线性刚度方程和相应的有限元方法 ,可用于高层钢框架结构的几何非线性分析计算。本文方法克服了经典梁柱理论的稳定函数法在轴力为拉、压和零时刚度系数表达式各异的不便。通过一榀典型钢框架的几何非线性分析 ,说明了本文方法的实际应用和可靠性。算例表明 ,对于多高层钢框架结构 ,P Delta效应的影响不应忽略。Tall building steel frames have large depth\|to\|width rations and relatively small column sections. Therefore, when they are subjected to high vertical load, the geometrical nonlinear P\|Delta effects will become a main factor in affecting their structural behavior. By taking the tall building steel frames as the subject for study and by using the finite\|deformation theory of the nonlinear continuum mechanics and the principle of functional stationary potential energy, a geometrical nonlinear structure stiffness equation based on Updated Lagrange co\|ordinates and its relevant finite element method are obtained in this paper and can be applied in the geometrical nonlinear analysis of tall building steel frames. The presented method overcomes the limitations or inconvenience of the traditional stability function method such as the separation of solutions in tensile,compressive, and zero load cases. The application and reliability of the method presented in this paper is further stated by a geometrical nonlinear analysis of a typical steel framed example. Numerical results show that the P\|Delta effects should not be ignored in the structural analysis of tall building steel frames.

关 键 词：平面钢结构 几何非线性 P-DELTA效应 U.L.列式 

分 类 号：TU391[建筑科学—结构工程]