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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2009
• Main Author: Gorokhova, I.V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106549
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Small Transversal Vibrations of Elastic Rod with Point Mass at One End Subject to Viscous Friction / I.V. Gorokhova // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 375-385. — Бібліогр.: 9 назв. — англ.

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 eigenval...