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This article is cited in 2 scientific papers (total in 2 papers)
Chladni figures of a circular plate floating in bounded and unbounded water bodies with securing support at the center
A. G. Greshilov, S. V. Sukhinin Lavrent'ev Institute of Hydrodynamics SB RAS, Acad. Lavrentyev ave., 15, 630090 Novosibirsk
Abstract:
In the framework of circular symmetry, we carry out numerical and analytical research into the Chladni modes an elastic plate that floats on the surface of a fluid and is cantilever fitted at the center to a vertical support. Using the theory of long waves in shallow water and the approximation of the vibrations of an Euler beam for bounded and unbounded water bodies, we obtain the expressions for the dependency of the natural and quasi-natural frequencies of the Chladni figures on the geometric parameters of the plate and the vibration domain with the bottom irregularity taken into account.
Keywords:
flexural-gravity vibration, natural vibration, hydroelasticity, shallow water, circular plate, Chladni figures of a supported floating plate.
Received: 20.01.2016
Citation:
A. G. Greshilov, S. V. Sukhinin, “Chladni figures of a circular plate floating in bounded and unbounded water bodies with securing support at the center”, Sib. Zh. Ind. Mat., 20:1 (2017), 31–40; J. Appl. Industr. Math., 11:1 (2017), 49–57
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https://www.mathnet.ru/eng/sjim946 https://www.mathnet.ru/eng/sjim/v20/i1/p31
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Abstract page: | 469 | Full-text PDF : | 397 | References: | 58 | First page: | 8 |
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