THE APPLICATIONS OF LAGRANGE’S EQUATION FOR THE DYNAMIC PROBLEMS OF VELOCITY-FREE RELEASE |
| |
Authors: | LI Hailong LIU Haiyan |
| |
Institution: | School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China |
| |
Abstract: | The Lagrange’s equation is widely used in solving complex dynamic problems. As soon as the kinetic energy of a system at a general position is known, the governing equation of the system can be easily obtained by the Lagrange’s equation. But to calculate the kinetic energy of a system at a general position is not easy in many cases, which is an obstacle to the application of the Lagrange’s equation. From a theoretical analysis, we find that to the dynamic problems of the velocity-free release, the Lagrange’s equation provides a simple way of solution. |
| |
Keywords: | Lagrange's equations dynamic problems of velocity-free release scleronomic constraint |
|
| 点击此处可从《力学与实践》浏览原始摘要信息 |
| 点击此处可从《力学与实践》下载免费的PDF全文 |
|