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| 状态空间法求解层状压电压磁非轴对称问题 | |
| 引用本文： | 朱保兵,王建国,李国强.状态空间法求解层状压电压磁非轴对称问题[J].同济大学学报(自然科学版),2007,35(2):222-227. |
| 作者姓名： | 朱保兵 王建国 李国强 |
| 作者单位： | 1. 同济大学,建筑工程系,上海,200092;上海建筑设计研究院有限公司,上海,200041 2. 合肥工业大学,土木建筑工程学院,安徽,合肥,230009 3. 同济大学,建筑工程系,上海,200092 |
| 摘 要： | 从横观各向同性压电压磁介质空间非轴对称问题的控制方程出发，给出了层状压电压磁介质空间非轴对称问题的状态变量方程．对状态变量方程进行Hankel变换，将其转化为矩阵表示的常微分方程组．利用Cayley-Hamilton定理，得到了以状态变量表示的多层半无限压电压磁介质在Hankel变换空间中的解．根据传递矩阵方法，导出了多层压电压磁介质空间非轴对称问题解的一般解析式，并给出了数值算例．分析了层状压电压磁介质的磁电力耦合效应和不同的叠放顺序对场变量的影响． |
| 关 键 词： | 层状压电压磁介质 非轴对称问题 状态变量方程 横观各向同性 磁电力耦合效应 |
| 文章编号： | 0253-374X（2007）02-0222-06 |
| 修稿时间： | 2005-05-19 |
Application of State Space Method to Non-axisymmetric Problems of Multi-layer Magneto-Electro Media |
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| ZHU Baobing,WANG Jianguo,LI Guoqiang.Application of State Space Method to Non-axisymmetric Problems of Multi-layer Magneto-Electro Media[J].Journal of Tongji University(Natural Science),2007,35(2):222-227. | |
| Authors: | ZHU Baobing WANG Jianguo LI Guoqiang |
| Institution: | 1. Department of Building Engineering, Tongji University, Shanghai 200092 ,China; 2. Shanghai Institute of Architectural Design and Research (Co., Ltd |
| Abstract: | The state vector equations of non-axisymmetric problems for transversely isotropic magnetoelectro-elastic media are derived. Ordinary differential equations with matrix form are given by Hankel transformation. Based on Cayley-Hamilton theorem, the state vector solutions for a multi-layer magneto-electro-elastic media are obtained in the Hankel transform space. A general analytical formulation for the multi-layer magneto-electro-elastic non-axisymmetric problems is given with the transfer matrix method. Numerical results are derived. The magnetism-electricity-force coupling effect of the magneto-electro-elastic media and the effect of different congruence order on field variables are analyzed. |
| Keywords: | multi-layer magneto-electro-elastic media non-axisymmetric problems state vector equations transversely isotropy magnetism-electricity-force coupling effect |
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