平面杆系结构稳定问题的常微分方程解法  

Ordinary Differential Equation Solver Method for Stability Problems of Plane Frame Structure

作　　者：徐杏华[1] 肖孟[2] 李朝[3] 

机构地区：[1]孝感学院城市建设学院,湖北孝感432000 [2]武汉市建筑工程质量监督站,武汉430015 [3]长春市轨道交通集团有限公司,长春130012

出　　处：《三峡大学学报（自然科学版）》2011年第1期62-64,72,共4页Journal of China Three Gorges University：Natural Sciences

基　　金：孝感学院科研项目(Z2010023)

摘　　要：介绍了一种平面杆系结构稳定问题的常微分方程求解器(ODE)解法.将计算无限自由度平面杆系结构稳定问题转换为典型的常微分方程边值问题,通过构造一系列平凡常微分方程,建立相应的常微分方程组,利用常微分方程求解器予以求解.利用常微分方程求解器法对不同边界条件和变截面压杆的临界弯曲荷载问题进行了求解,计算结果表明,该方法的求解精度和效率较高.An ordinary differential equation（ODE） solver method for stability problems of plane frame structure is presented.It is achieved by transforming the general eigenvalue problem of stability problems of continuously distributed property system into typical boundary value problem of ordinary differential equation.A series of ODEs,corresponding to the general eigenvalue problem,is formed;and then is solved by a general ordinary differential equation solver.In this paper,critical load and corresponding instability mode of columns with different boundary conditions and multistepped column are solved by this method.The results show that this method is precise and efficient.

关 键 词：临界荷载 常微分方程 边界条件 特征值 ODE求解器 

分 类 号：TU311[建筑科学—结构工程]