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01-12-2014 | Brief Notes and Discussions

Vibration of a membrane strip with a segment of higher density: analysis of trapped modes

Author: C. Y. Wang

Published in: Meccanica | Issue 12/2014

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Abstract

The Helmholtz equation governs the dynamics of membranes and waveguides. Using the mode matching method, trapped modes are found for an infinite strip with a segment of inhomogeneity. The exact frequencies and mode shapes are determined as a function of density ratio and length of the segment. Nonuniqueness and nonexistence are demonstrated.

previous article Thermomechanical coupling effect of graphite electrodes upon the electric arc furnace dynamics

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Title: Vibration of a membrane strip with a segment of higher density: analysis of trapped modes
Author: C. Y. Wang
Publication date: 01-12-2014
Publisher: Springer Netherlands
Published in: Meccanica / Issue 12/2014
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-014-0034-7

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