桅杆结构非线性稳定与振动的杆索有限元分析法  

FINITE MEMBER-GUY ELEMENT METHOD FOR NONLINEAR STABILITY AND VIBRATION ANALYSIS OF GUYED TOWERS

作　　者：张其林[1] 欧阳可庆[1] 

机构地区：[1]同济大学

出　　处：《土木工程学报》1993年第5期31-42,共12页China Civil Engineering Journal

基　　金：国家教委博士点基金

摘　　要：本文基于修正的总体Lagrangian坐标描述法推导了空间索、杆单元的大位移刚度矩阵。基于虚功原理推导了索单元的一致质量矩阵。建立了桅杆结构的非线性静、动力增量平衡方程。采用Newton-Raphson迭代法和修正弧长迭代法求解桅杆在失稳前、后的整个变形路径。应用子空间迭代技术求解桅杆结构的任意个低阶振型和周期。根据Wilsons法的增量形式求解桅杆结构在任意动力荷载作用下的时程曲线。算例表明:本文导出的计算公式具有极高的精度。本文给出的方法适应性极强。Based on the updated Total Lagrangian Formulation, the large deflection stiffness matrices of space member and guy elements are derived in this paper. A mass matrix of guy clement is deduced according to the principle of virtual work, and the nonlinear static and dynamic incremental equilibrium equation of guyed towers is established. The Newton-Raphson and modified are-length iterative methods are adopted to solve the whole deflecting procedures of guyed tower before and after instability. The sub-space iterative method is used find arbitrary numbers of lower modes and periods of vibration of guyed towers, and the incremental Wilson-θ method is used to solve the dynamic responses of guyed towers under arbitrary input earthquake waves. Numerical examples show that the analytical method of this paper is accurate and efficient for nonlinear stability and vibration analyses of guyed towers.

关 键 词：桅杆结构 非线性 振动 有限元法 

分 类 号：TU323.01[建筑科学—结构工程]