Small Transversal Vibrations of Elastic Rod with Point Mass at One End Subject to Viscous Friction

Автор(и)

  • I. V. Gorokhova K.D. Ushinskii South-Ukrainian State Pedagogical University, 26 Staroportofrankovskaya Str., Odessa, 65020, Ukraine

Анотація

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.

Mathematics Subject Classification: 47A56, 74K10.

Ключові слова:

eigenvalues, operator pencil, algebraic multiplicity, boundary conditions.

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Як цитувати

(1)
Gorokhova, I. V. Small Transversal Vibrations of Elastic Rod with Point Mass at One End Subject to Viscous Friction. Журн. мат. фіз. анал. геом. 2009, 5, 375-385.

Номер

Том 5 № 4 (2009)

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