TY - JOUR
T1 - Periodic Solutions for a Damped Rayleigh Beam Model with Time Delay
AU - Chen , Bochao
AU - Li , Yong
JO - Communications in Mathematical Research 
VL - 3
SP - 296
EP - 319
PY - 2020
DA - 2020/07
SN - 36
DO - http://doi.org/10.4208/cmr.2020-0015
UR - https://global-sci.org/intro/article_detail/cmr/17850.html
KW - Beam equations, damping, time delay, periodic solutions.
AB - <p style="text-align: justify;">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.</p>