On the Vibrations of Traveling Strings and Membranes

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Date

2024-06-10

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Mohamed Boudiaf University of M'sila

Abstract

In this study, we examine the one-dimensional and two-dimensional wave equations in time-dependent domains. We derive the wave equation using Hamilton’s principle. Then, we employ the method of separation of variables to solve the equation. We also consider the case with interior linear damping.

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Keywords

Wave equation, time-dependent domains, separation of variables method, damping

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