In this paper, we first present an overview of Da'lembert's solution and impedance boundary conditions, and then outline the excitation boundary conditions, including stick-slip vibration of a string and an excitation model of an expansion part of an acoustic self-excited phenomenon with a heat source. After that, we summarize the reflection law of a rigid wall from the viewpoint of the law of conservation of energy, and then introduce the process of examining the reflection law of the end when the string length changes.
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Hideo Utsuno
Shota Kageyama
Yuto Yamaji
The Proceedings of Mechanical Engineering Congress Japan
Kansai University
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Utsuno et al. (Wed,) studied this question.
www.synapsesocial.com/papers/69c4cd05fdc3bde448918daf — DOI: https://doi.org/10.1299/jsmemecj.2025.j122-01