山东农业大学学报（自然科学版）2012，Vol.43Issue(3)：419-422,4.
弹性压杆稳定问题的ODE解法
ORDINARY DIFFERENTIAL EQUATION SOLVER METHOD FOR THE STABILITY PROBLEMS OF ELASTIC COMPRESSIVE BAR
摘要
Abstract
The ordinary differential equation solver method for the stability problems of elastic compressive bar 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 (ODE). A series of ODEs, corresponding to the general eigenvalue problem, is formed and then the critical load and corresponding instability mode of column is solved by an general ordinary differential equation solver. An example is taken to illustrate the validity and the availability of this new method.关键词
临界荷载/常微分方程/边界条件/特征值/ODE求解器Key words
Critical load/ ODE/ boundary condition/ eigenvalue/ ODE solver分类
建筑与水利引用本文复制引用
徐杏华,李朝..弹性压杆稳定问题的ODE解法[J].山东农业大学学报（自然科学版）,2012,43(3):419-422,4.基金项目
湖北省教育厅基金项目(B20102704) （B20102704）
孝感学院科研项目(Z2010023) （Z2010023）
