| 张素英,邓子辰.广义Hamilton(控制)系统的离散梯度积分法[J].计算力学学报,2004,21(5):571~575 |
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| 广义Hamilton(控制)系统的离散梯度积分法 |
| A discrete gradient integration method for generalized Hamilton systems |
| 修订日期：2003-02-21 |
| DOI：10.7511/jslx20045101 |
| 中文关键词: 离散梯度 离散梯度积分法 广义Hamilton系统 广义Hamilton控制系统 |
| 英文关键词:discrete gradient,discrete gradient integration method,generalized Hamilton system,generalized Hamilton control system |
| 基金项目:国家自然科学基金(10372084)，霍英东青年教师基金 (7 1 0 0 5)，教育部高校博士点专项基金(2 0 0 1 0 6 990 1 6 )，航空科学基金 (0 0 B53 0 0 6 )，陕西省自然科学基金 (2 0 0 2 A1 7)，大连理工大学工业装备结构分析国家重点实验室开放基金资助项目 |
| 张素英 邓子辰 |
| 西北工业大学工程力学系,陕西西安710072 |
| 摘要点击次数: 1539 |
| 全文下载次数: 8 |
| 中文摘要: |
| 对于广义Hamilton系统及广义Hamilton控制系统，基于能量的Hamilton函数，用离散梯度方法给出了系统保持Hamilton函数特征的数值解法，证明了积分方法可有效地保持Hamilton函数随时间的变化率。通过算例说明了本文方法的有效性。 |
| 英文摘要: |
| For generalized Hamilton system and generalized Hamilton control system, by Hamilton function based on energy and the discrete gradient method, the numerical solution method that can preserve Hamilton function properties of Hamilton system is given in the presented paper. Firstly, the generalized Hamilton system models and the energy change rates based on energy concept of the dynamic systems are established, then based on the definition of discrete gradient, the discrete gradient integration method is proposed and the proof of the integration algorithm precision is given. It is proved that the integration method of this paper can effectively preserve the rate of Hamilton function with respect to time. The numerical example shows that the method proposed in this paper is effective. The work of this paper will provide a new way for the further studies of Hamilton dynamic system. |
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