| 哈密顿体系下矩形薄板自由振动的一般解 |
| |
| 引用本文： | 鲍四元,邓子辰. 哈密顿体系下矩形薄板自由振动的一般解[J]. 动力学与控制学报, 2005, 3(2): 10-16 |
| |
| 作者姓名： | 鲍四元 邓子辰 |
| |
| 作者单位： | 1. 西北工业大学工程力学系,西安,710072
2. 西北工业大学工程力学系,西安,710072;大连理工大学工业装备结构分析国家重点实验室,大连,116024 |
| |
| 基金项目： | 中国科学院资助项目;教育部新世纪优秀人才支持计划;西北工业大学校科研和教改项目;大连理工大学校科研和教改项目 |
| |
| 摘 要： | 根据弹性薄板自由振动问题的基本方程，把问题引入到哈密顿对偶体系中．x方向模拟为时间，选取弯矩，等效剪力，转角和挠度为对偶向量，得到了在不同边界条件时关于x轴对称和反对称时的解析解．算例研究了四边固支薄板的自由振动情形，从而推广了哈密顿体系的应用范围，验证了哈密顿体系求解方法在自由振动问题中的有效性．
|
| 关 键 词： | 哈密顿体系 薄板 自由振动 本征向量 |
| 收稿时间： | 2005-02-27 |
| 修稿时间： | 2005-02-27 |
A general solution of free vibration for rectangular thin plates in hamilton systems |
| |
| Bao Siyuan and Deng Zichen. A general solution of free vibration for rectangular thin plates in hamilton systems[J]. Journal of Dynamics and Control, 2005, 3(2): 10-16 |
| |
| Authors: | Bao Siyuan and Deng Zichen |
| |
| Abstract: | Based on the basic equations of free vibration of thin plate, the Hamilton canonical equations were obtained. By variable selection of moment, equivalent shear force, rotation angel and deflection forming dual variables, the analytical solutions for free vibration of thin plate were obtained under different boundary conditions, which were divided into symmetrical and asymmetrical about x-axial. The computational example of a quadrilateral rectangular plate bending was given, which demonstrated the effectiveness of the proposed method, thus extending the application of Hamilton system. |
| |
| Keywords: | Hamilton system thin plate free vibration eigenfunction vector |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《动力学与控制学报》浏览原始摘要信息 |
|
点击此处可从《动力学与控制学报》下载免费的PDF全文 |
