Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Eigenfrequencies of curved Euler-Bernoulli beam structures with dissipative joints

Author: William H. Paulsen
Journal: Quart. Appl. Math. 53 (1995), 259-271
MSC: Primary 73D30; Secondary 73K12
DOI: https://doi.org/10.1090/qam/1330652
MathSciNet review: MR1330652
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Abstract: In this paper, we will compute asymptotically the eigenfrequencies for the in-plane vibrations of an Euler-Bernoulli beam system with dissipative joints, which allow the beams to be curved into an arc of a circle. This enhances the author's previous result for structures involving straight beams, given in his preprint ``Eigenfrequencies of the non-collinearly coupled Euler-Bernoulli beam system with dissipative joints". Matrix techniques are used to combine asymptotic analysis with a form of the wave propagation method.

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DOI: https://doi.org/10.1090/qam/1330652
Article copyright: © Copyright 1995 American Mathematical Society

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