Year: 2020
Author: Bochao Chen, Yong Li
Communications in Mathematical Research , Vol. 36 (2020), Iss. 3 : pp. 296–319
Abstract
Vibrations of a beam can be described as an Euler-Bernoulli beam, or as a Rayleigh beam or as a Timoshenko beam. In this paper, we establish the existence of periodic solutions in time for a damped Rayleigh beam model with time delay, which is treated as a bifurcation parameter. The main proof is based on a Lyapunov-Schmidt reduction together with the classical implicit function theorem. Moreover, we give a sufficient condition for a direction of bifurcation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0015
Communications in Mathematical Research , Vol. 36 (2020), Iss. 3 : pp. 296–319
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Beam equations damping time delay periodic solutions.
Author Details
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