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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/qam/1330652

Article copyright:
© Copyright 1995
American Mathematical Society