| 非线性非自治非保守阻尼系统的第二类Lagrange方程 |
| |
| 引用本文： | 田红亮,朱大林.非线性非自治非保守阻尼系统的第二类Lagrange方程[J].三峡大学学报(自然科学版),2006,28(5):435-439. |
| |
| 作者姓名： | 田红亮 朱大林 |
| |
| 作者单位： | 三峡大学,机械与材料学院,湖北,宜昌,443002 |
| |
| 摘 要： | 基于非自治有阻尼系统推导了第二类Lagrange方程,使用虚功原理,给出了广义力的求解方法,广义力由广义保守力、广义耗散力、除广义保守力和广义耗散力以外的对应于广义坐标的广义力这3部分组成.利用第二类Lagrange方程推导了一级倒立摆非保守有阻尼系统的运动微分方程和状态空间模型.用数值分析软件Matlab 6.5对状态空间模型进行了线性二次调节器最优控制.
|
| 关 键 词： | 第二类Lagrange方程 广义独立坐标 虚功 线性二次调节器 |
| 文章编号： | 1672-948X(2006)05-0435-05 |
| 修稿时间： | 2006年9月12日 |
Second Kind Lagrange Equation of Nonlinear Nonautonomous Nonconservative Damping System |
| |
| Tian Hongliang,Zhu Dalin.Second Kind Lagrange Equation of Nonlinear Nonautonomous Nonconservative Damping System[J].Journal of China Three Gorges University(Natural Sciences),2006,28(5):435-439. |
| |
| Authors: | Tian Hongliang Zhu Dalin |
| |
| Abstract: | Second kind Lagrange equation is derived based on the nonautonomous damping system.A method to attain the generalized force is put forward by applying virtual work principle.The generalized force consists of the generalized conservative force,the generalized dissipation force and the generalized force in correspondence with the generalized coordinate except the generalized conservative force and the generalized dissipation force.The differential equations of motion and the state space model of the single inverted pendulum nonconservative damping system are deduced by using the second kind Lagrange equation. The state space model is optimally controlled by linear quadratic regulator and software Matlab6.5. |
| |
| Keywords: | second kind Lagrange equation generalized independent coordinate virtual work linear quadratic regulator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
