| 压电压磁圆柱壳的自由振动分析 |
| |
| 引用本文： | 辛立波. 压电压磁圆柱壳的自由振动分析[J]. 力学季刊, 2020, 41(2): 329-343. DOI: 10.15959/j.cnki.0254-0053.2020.02.013 |
| |
| 作者姓名： | 辛立波 |
| |
| 作者单位： | 中国航发商用航空发动机有限责任公司,上海200241 |
| |
| 摘 要： | 本文基于三维弹性理论，结合状态空间理论和离散奇异卷积算法分析了压电压磁圆柱壳的自由振动问题．圆柱壳的厚度方向被作为状态空间理论的传递方向，同时应用离散奇异卷积算法对面内域进行离散．因此，初始的偏微分运动方程被转化为由一阶常微分方程构成的状态方程．离散奇异卷积算法的引入使得本方法可以处理不同边界条件，从而扩展了常规状态空间方法的应用范围．本文对数值算例的计算验证了此方法的有效性和精确度．
|
| 关 键 词： | 状态空间方法 离散奇异卷积 压电 压磁 自由振动 |
Free Vibration Analysis of Piezoelectric and Piezomagnetic Cylindrical Shells |
| |
| XIN Libo. Free Vibration Analysis of Piezoelectric and Piezomagnetic Cylindrical Shells[J]. Chinese Quarterly Mechanics, 2020, 41(2): 329-343. DOI: 10.15959/j.cnki.0254-0053.2020.02.013 |
| |
| Authors: | XIN Libo |
| |
| Abstract: | Based on three-dimensional elasticity theory, semi-analytical solutions for free vibration of piezoelectric and piezomagnetic cylindrical shells have been derived applying a newly developed hybrid analysis, which combines the state space approach (SSA) and the discrete singular convolution (DSC) algorithm. The thickness direction of shells is selected as the transfer direction in SSA, and the DSC is employed to discretize the in-plane domains. Hence, the original partial differential equations are transformed into a state equation consisting of first-order ordinary differential equations. The application of DSC makes it possible to treat various boundary conditions, which cannot be considered in the conventional SSA. Comprehensive numerical examples are presented to validate the present method. |
| |
| Keywords: | state space method discrete singular convolution piezoelectric piezomagnetic free vibration |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《力学季刊》浏览原始摘要信息 |
|
点击此处可从《力学季刊》下载全文 |
