@Article{CMR-36-296, author = {Chen , Bochao and Li , Yong}, title = {Periodic Solutions for a Damped Rayleigh Beam Model with Time Delay}, journal = {Communications in Mathematical Research }, year = {2020}, volume = {36}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0015}, url = {http://global-sci.org/intro/article_detail/cmr/17850.html} }