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Published in: Meccanica 1-2/2017

12-02-2016

Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach

Authors: Arian Bahrami, Amir Teimourian

Published in: Meccanica | Issue 1-2/2017

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Abstract

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.

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Metadata
Title
Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach
Authors
Arian Bahrami
Amir Teimourian
Publication date
12-02-2016
Publisher
Springer Netherlands
Published in
Meccanica / Issue 1-2/2017
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0392-4

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