Hinged beam dynamics
Analysis of PDEs
2024-12-20 v8
Abstract
In this paper we prove large-time existence and uniqueness of high regularity weak solutions to some initial/boundary value problems involving a nonlinear fourth order wave equation. These sorts of problems arise naturally in the study of vibrations in beams that are hinged at both ends. The method used to prove large-time existence is the Galerkin approximation method.
Keywords
Cite
@article{arxiv.1912.04054,
title = {Hinged beam dynamics},
author = {David Raske},
journal= {arXiv preprint arXiv:1912.04054},
year = {2024}
}
Comments
14 pages. Changes made to the introduction and section three