摘要
直接从GD法(General differential method)的推导出发,系统介绍了GD法的基本原理,并给出了弹性力学中梁在静力作用下各点的GDM离散方程,从而将偏微分控制方程全部转化为线性方程组,求解方程组就得到各点的挠度值.同时,将结果与解析解作比较.可以看到,GD法具有精度高、收敛快等优点.
The GDM and the postulate is carefully described in this paper. The GDM discrete equations of beam in elasticity of static state is derived. Then, we use GDM on the formula of deflection and get a series of formulas. According to those formulas , we can get the deflection of all the points. Comparison between the results and those obtained from other methods shows that the GDM has some merits such as higher precision and better convergence.
出处
《西华师范大学学报（自然科学版）》
2009年第2期179-183,共5页
Journal of China West Normal University(Natural Sciences)
关键词
GD法
梁
挠度
general differential method
beam
deflection
