Periodic solutions of a semilinear Euler-Bernoulli beam equation with variable coefficients
Dynamical Systems
2021-03-17 v1
Abstract
This paper is devoted to the study of periodic solutions for a semilinear Euler-Bernoulli beam equation with variable coefficients. Such mathematical model may be described the infinitesimal, free, undamped in-plane bending vibrations of a thin straight elastic beam. When the frequency is rational, some properties of the beam operator with variable coefficients are investigated. We obtain the existence of periodic solutions when the nonlinear term is monotone and bounded.
Cite
@article{arxiv.2001.05693,
title = {Periodic solutions of a semilinear Euler-Bernoulli beam equation with variable coefficients},
author = {Hui Wei and Shuguan Ji},
journal= {arXiv preprint arXiv:2001.05693},
year = {2021}
}