Eigenoscillations of mechanical systems with boundary conditions containing the frequency-Reference-Cited by-同舟云学术

Eigenoscillations of mechanical systems with boundary conditions containing the frequency

Published:1998 Issue:3 Volume:56 Page:521-541
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Belinskiy B. P.,Dauer J. P.

Abstract

The problem of eigenoscillations of beam-mass systems is investigated and four examples are developed. For such systems the corresponding Sturm-Liouville problems contain the eigenvalue parameter in the boundary conditions. It is shown that the eigenfunctions for the systems considered form a basis of the appropriate Hilbert space. Rayleigh-Ritz formulas are also developed. Some lower bound estimations for eigenfrequencies are also found.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1998-56-03/S0033-569X-1998-1637056-4/S0033-569X-1998-1637056-4.pdf

Reference41 articles.

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3. M. J. Maurizi and P. M. Bellés, An additional evaluation of free vibrations of beam-mass systems, Journal of Sound and Vibration 154, 182–186 (1992)

4. H. Abramovich and O. Hamburger, Vibration of a uniform cantilever Timoshenko beam with translational and rotational springs and with a tip mass, Journal of Sound and Vibration 154, 67–80 (1992)

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