Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach
Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach
复制标题
DOI：
10.1007/s11012-016-0392-4
复制
发表时间：
2017
期刊：
影响因子：
2.7
通讯作者：
A. Bahrami;A. Teimourian
中科院分区：
文献类型：
--
作者：
A. Bahrami;A. Teimourian
本文提出了非均匀矩形薄膜自由振动分析的波传播法。文献回顾表明，大多数机构分析这种方法是一维波导结构。首先推导了非均匀矩形薄膜的传播、反射和透射矩阵。然后，将这些矩阵组合起来，得到非均匀矩形膜的固有频率。用经典方法对该方法得到的解进行了验证。此外，一组基准结果，提出了各种几何参数。最后，通过定义复合矩形膜的重要参数，首次详细研究了复合矩形膜在截面变化时的反射和透射特性。所得结果对微纳器件中能量传输的分析具有一定的参考价值。
In this paper, the wave propagation approach is presented for free vibration analysis of non-uniform rectangular membranes. Literature reviews reveal that most bodies analyzed by this approach are one dimensional waveguide structures. Firstly, the propagation, reflection and transmission matrices for non-uniform rectangular membranes are derived. Then, these matrices are combined to obtain the natural frequencies of non-uniform rectangular membranes. The solution obtained by this approach is verified by the classical method. Moreover, a set of benchmark results is presented for various geometric parameters. Finally, the behavior of wave reflection and transmission at the section change of the composite rectangular membranes is studied in details for the first time by defining their important parameters. The obtained hints are useful for the analysis of energy transmission in micro/nano devices.