三峡大学学报(自然科学版)2011,Vol.33Issue(1):62-64,72,4.
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
摘要
Abstract
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
建筑与水利引用本文复制引用
徐杏华,肖孟,李朝..平面杆系结构稳定问题的常微分方程解法[J].三峡大学学报(自然科学版),2011,33(1):62-64,72,4.基金项目
孝感学院科研项目(Z2010023) (Z2010023)