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Discrete vibrational black holes

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Discrete structure that implements approximately the vibrational black hole effect for flexural waves is proposed. It is a rod/plate with grooves whose depth increases gradually. The bending stiffness of such a structure gradually decreases, while the linear mass remains constant. The dependences on parameter change, at which the structure behaves similarly to the vibrational black hole and the exact analytical solution of corresponding equation are found.

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Document Type: Research Article

Affiliations: Andreyev Acoustics Institute. Russian Federation

Publication date: 30 September 2019

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