| 一道非惯性系力学题的多种解法 |
| |
| 引用本文： | 张铎.一道非惯性系力学题的多种解法[J].甘肃联合大学学报(自然科学版),2007,21(3):36-38. |
| |
| 作者姓名： | 张铎 |
| |
| 作者单位： | 甘肃畜牧工程职业技术学院,甘肃,武威,733000 |
| |
| 摘 要： | 以具体例题浅析怎样解决非惯性系的动力学问题,分别应用牛顿第二定律、拉格朗日方程、哈密顿正则方程等方法求解:牛顿第二定律解决问题,需要对质点进行受力分析,比较复杂;用拉格朗日方程解决,思路清晰,是一个二阶常微分方程组;而哈密顿正则方程则是一个一阶常微分方程组,形式简单,使用方便.
|
| 关 键 词： | 牛顿第二定律 拉格朗日方法 哈密顿正则方程 |
| 文章编号： | 1672-691X(2007)03-0036-03 |
| 修稿时间： | 2007年2月26日 |
The Solutions of Mechanics Topic on the Non-inertia System Dynamics |
| |
| ZHANG Duo.The Solutions of Mechanics Topic on the Non-inertia System Dynamics[J].Journal of Gansu Lianhe University :Natural Sciences,2007,21(3):36-38. |
| |
| Authors: | ZHANG Duo |
| |
| Abstract: | The paper briefly analyzes how to solve the mechanics problems on the non-inertia system dynamics by the concrete examples,uses Newton Second Law,Lagrange Equation,Hamilton Canonical Equation and so on to solute the problems;The Newton Second Law is used to solve the problems,and the stress analysis of the particle has to be carried on,compared with complexity.Solving with the Lagrange Equation,the mentality is clear,is two steps ordinary differential equation,but the Hamilton Canonical Equation is a step ordinary differential equation,the form is simple and easy to operat. |
| |
| Keywords: | Newton Second Law Lagrange Equation Hamilton Canonical Equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
