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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2009, Volume 5, Number 4, Pages 375–385
(Mi jmag133)
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This article is cited in 1 scientific paper (total in 1 paper)
Small transversal vibrations of elastic rod with point mass at one end subject to viscous friction
I. V. Gorokhova K.D. Ushinskii South-Ukrainian State Pedagogical University, 26 Staroportofrankovskaya Str., Odessa, 65020, Ukraine
Abstract:
A spectral problem describing small transversal vibrations of an elastic rod with a concentrated mass (bead) at the right end subject to viscous friction is considered. The left end is hinge-jointed. The location of the spectrum of this problem is described and the asymptotic formula of the eigenvalues is obtained.
Key words and phrases:
eigenvalues, operator pencil, algebraic multiplicity, boundary conditions.
Received: 01.12.2008
Citation:
I. V. Gorokhova, “Small transversal vibrations of elastic rod with point mass at one end subject to viscous friction”, Zh. Mat. Fiz. Anal. Geom., 5:4 (2009), 375–385
Linking options:
https://www.mathnet.ru/eng/jmag133 https://www.mathnet.ru/eng/jmag/v5/i4/p375
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Abstract page: | 182 | Full-text PDF : | 83 | References: | 45 |
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