| 功能梯度薄壁圆柱壳的自由振动 |
| |
| 引用本文： | 杜长城,李映辉.功能梯度薄壁圆柱壳的自由振动[J].动力学与控制学报,2010,8(3):219-223. |
| |
| 作者姓名： | 杜长城 李映辉 |
| |
| 作者单位： | 西南交通大学力学与工程学院,成都,610031 |
| |
| 基金项目： | 国家青年自然科学基金资助项目 |
| |
| 摘 要： | 研究了由功能梯度材料制成的薄壁圆柱壳的自由振动.采用幂律分布规律描述功能梯度材料沿厚度的梯度性质,根据Donnell壳体理论,导出了功能梯度材料薄壁圆柱壳线性振动的简化控制方程.基于此理论分析了功能梯度圆柱壳的自由振动特性,给出了两端简支功能梯度材料薄壁圆柱壳小挠度固有振动的频率公式.以简支圆柱壳作为算例,与前人结果及有限元法对比验证了该简化功能梯度薄壁圆柱壳理论的正确性,同时讨论了周向波数及梯度指数对其频率的影响.
|
| 关 键 词： | 功能梯度材料 薄壁圆柱壳 线性振动 简化理论 |
| 收稿时间： | 2010/1/11 0:00:00 |
| 修稿时间： | 2/1/2010 12:00:00 AM |
Free vibration of functionally graded cylindrical thin shells |
| |
| Du Changcheng and Li Yinghui.Free vibration of functionally graded cylindrical thin shells[J].Journal of Dynamics and Control,2010,8(3):219-223. |
| |
| Authors: | Du Changcheng and Li Yinghui |
| |
| Affiliation: | Du Changcheng Li Yinghui(School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,China) |
| |
| Abstract: | The free vibration of cylindrical thin shells made of functionally graded materials was studied. The gradient properties of functionally graded material were expressed as volume fraction power-law distributions in the thickness direction. Based on Donnell’s shell theory, the simplified governing equations for linear vibration of functionally graded cylindrical thin shells were derived. Free vibration of functionally graded cylindrical thin shells was analyzed with the present shell theory. Frequency formula for simply supported functionally graded cylindrical thin shells was obtained. By comparing the results for simply supported cylindrical shells with both previous works and finite element method, the present simplified functionally graded cylindrical thin shell theory was validated. The influence of circumference wave number and power-low exponential on frequencies was also discussed. |
| |
| Keywords: | functionally graded material cylindrical thin shells linear vibration simplified theory |
| 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》下载全文 |
|
