A dynamic Euler-Bernoulli beam equation frictionally damped on an elastic foundation
type: Item
instance of: scholarly article
title: A dynamic Euler-Bernoulli beam equation frictionally damped on an elastic foundation
zbMATH Open document ID: 1483.74059
published in: Nonlinear Analysis. Real World Applications
publication date: 2021-12-15T00:00:00Z
review text: The steady-state solution of an Euler-Bernoulli beam subjected to the action of a time-dependent uniformly distributed force on a foundation composed of a continuous distribution of linear elastic springs associated in parallel with an approximate/abstract distribution of Coulomb frictional dampers is studied in this paper, which starts with a general abstract existence result in the spirit of Hille-Yosida theorem. The existence of a weak solution is also achieved as a limit of a sequence of solutions for some physically relevant regularised problems under proper regularity assumptions on the original data.
reviewed by: R. Udhayakumar
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74H20
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 7446141
zbMATH Keywords: Euler-Bernoulli beam equation
zbMATH Keywords: Coulomb friction law
zbMATH Keywords: weak solution
zbMATH Keywords: existence
zbMATH Keywords: Hille-Yosida theorem
author: Arnaud Heibig
author: Adrien Petrov
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2021.103427
OpenAlex ID: W3205718342
cites work: Q4055281
cites work: Q2730381
cites work: Numerics of unilateral contacts and friction. Modeling and numerical time integration in non-smooth dynamics
cites work: Q4097611
cites work: On the stability of quasi‐static paths for finite dimensional elastic‐plastic systems with hardening
cites work: Q4217277
DOI: 10.1016/J.NONRWA.2021.103427
description: scientific article; zbMATH DE number 7446141