Modal analysis of magneto-electro-elastic plates using the state-vector approach
Modal analysis of magneto-electro-elastic plates using the state-vector approach
复制标题
使用状态矢量方法对磁电弹性板进行模态分析
DOI：
10.1016/j.jsv.2007.03.021
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发表时间：
2007-07
影响因子：
4.7
通讯作者：
Heyliger, P. R.
中科院分区：
文献类型：
--
作者：
Chen, Hualing;Chen, Jiangyi;Pan, E.;Heyliger, P. R.
提出了一种分析电磁弹性层合板自由振动的状态向量法。扩展位移和应力可以分为所谓的面内变量和面外变量。一旦获得平面外变量的状态方程，复杂的边值问题就转化为等价的简单初值问题。通过状态方程，可以很容易地推导出各层上下界面之间的传播子矩阵。也可以使用连续性条件来组装全局传播矩阵。很明显，全局传播矩阵的阶数与层数无关。因此，这种方法具有一定的优点，包括简单的配方，更便宜的计算，等测试配方，开发的解决方案，然后施加到一个简单的支持多层板构造的压电和/或压磁材料。计算了结构的固有频率和相应的振型，并与已有的结果进行了比较。此外，还给出了基本模式沿着和几个在以前的文献中从未报道过的高阶模式。因此，这套完整的频率和模态振型可以作为基准，在这一领域的未来研究。该方法也可用于压电/压磁复合材料智能结构的分析和设计。
The state-vector approach is proposed to analyze the free vibration of magneto-electro-elastic laminate plates. The extended displacements and stresses can be divided into the so-called in-plane and out-of-plane variables. Once the state equation for the out-of-plane variables is obtained, a complex boundary value problem is converted into an equivalent simple initial value problem. Through the state equation, the propagator matrix between the top and bottom interfaces of every layer can be easily derived. The global propagator matrix can also be assembled using the continuity conditions. It is obvious that the order of global propagator matrix is not related to the number of layers. Consequently, this approach possesses certain virtues including simple formulation, less expensive computation, etc. To test the formulation, the developed solution is then applied to a simply supported multilayered plate constructed of piezoelectric and/or piezomagnetic materials. The natural frequencies and corresponding mode shapes are computed and compared with existing results. Furthermore, the fundamental modes along with a couple of other higher modes, which have never been reported in previous literature, are presented. Therefore, this completed set of frequencies and mode shapes can be used as benchmarks for future research in this field. It is also believed that the approach could be useful in the analysis and design of smart structures constructed from piezoelectric/piezomagnetic composites.
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影响因子：
4.7
作者：
E. Pan;P. Heyliger
通讯作者：
E. Pan;P. Heyliger
影响因子：
4.7
作者：
R. Lage;C. Soares;C. M. Soares;J. Reddy
通讯作者：
R. Lage;C. Soares;C. M. Soares;J. Reddy
影响因子：
3.6
作者：
S. Chandrashekara;U. Santhosh
通讯作者：
S. Chandrashekara;U. Santhosh
影响因子：
6.6
作者：
Z. Cheng;C. W. Lim;S. Kitipornchai
通讯作者：
Z. Cheng;C. W. Lim;S. Kitipornchai
影响因子：
4.7
作者：
R. Garcialage
通讯作者：
R. Garcialage