| 径向辛体系一种新的差分格式 |
| |
| 引用本文： | 任谊滨,朱炳麒,卓家寿.径向辛体系一种新的差分格式[J].固体力学学报,2009,30(2). |
| |
| 作者姓名： | 任谊滨 朱炳麒 卓家寿 |
| |
| 作者单位： | 1. 河海大学土木工程学院工程力学系,南京,210098
2. 河海大学机电工程学院,常州,213022 |
| |
| 基金项目： | 教育部高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 通过对Hellinger-Reissner变分原理进行坐标变换,将径向模拟为时间,导向辛体系,得到Hamilton对偶方程组.将微分形式的有限差分法引入弹性力学极坐标系下径向辛体系,把对偶方程组中的微分方程直接改用差分方程代替,推导出极坐标系下问题的辛差分方程,从而得到一种全新的径向辛体系差分格式.求解方程组,可直接得到位移和应力.编程计算曲梁等算例,结果表明该辛差分格式是有效的,丰富了弹性力学辛体系差分法的内容.
|
| 关 键 词： | 弹性力学 辛体系 有限差分法 新差分格式 |
A NEW FDM UNDER RADIAL SYMPLECTIC SYSTEM |
| |
| Yibin Ren,Bingqi Zhu,Jiashou Zhuo.A NEW FDM UNDER RADIAL SYMPLECTIC SYSTEM[J].Acta Mechnica Solida Sinica,2009,30(2). |
| |
| Authors: | Yibin Ren Bingqi Zhu Jiashou Zhuo |
| |
| Institution: | 1College of Civil Engineering;Hohai University;Nanjing;210098;2College of Mechanical & Electrical Engineering;Changzhou;213022 |
| |
| Abstract: | With radial coordinate treated as"time"and dual variables introduced,Hamilton's dual equations can be obtained by using Hellinger-Reissner generalized variational principle.Via application of the form of differential FDM into the Radial symplectic system for plane elasticity in polar coordinates and using the difference format instead of differential format in the Hamilton's dual equations,a symplectic difference format for plane elasticity in polar coordinates is constructed to obtain a new FDM under radia... |
| |
| Keywords: | elasticity the symplectic system finite difference method a new finite difference form |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
