结构稳定分析的改进数值积分法  

An Improved Numerical Integration Method for the Analysis of Steel Structural Stability

作　　者：郑伟国[1] 沈祖炎[1] 

机构地区：[1]同济大学结构工程学院

出　　处：《同济大学学报（自然科学版）》1990年第4期395-405,共11页Journal of Tongji University:Natural Science

摘　　要：目前,数值积分法在结构分析中的应用本质上没有突破构件的范畴,其主要原因是技术处理存在局限性,计算速度难以使人接受。本文通过推导弹塑性阶段杆截面内力和变形的协调关系、杆轴位移的高精度表达式和初值边界值关连计算法,对通常的数值积分法作出补充和改进,不但计算速度得以大大提高,而且为数值积分法形成较为完善的理论体系奠定了良好的基础。The ordinary numerical integration method has only been adopted for the analysis of the stability of steel members so far due to its limitations of handling technology and its slow computative speed. By developing the Elastoplastic coordination relationship between internal forces and deformations of member sections, the high precision expressions for the deflection of members and the link method for calculating the relation between the initial Values and boundary values, the authors have improved the numerical integration method to such an extent that not only its computative speed and precision have a significant improvement, but also a key step towards being a refined theory system for the analysis of steel structural stability has been accomplished.

关 键 词：稳定分析 杆系 数值积分法 非线性 

分 类 号：TU311.2[建筑科学—结构工程]