A dynamic Euler-Bernoulli beam equation frictionally damped on an elastic foundation

被引:3
|
作者
Heibig, Arnaud [1 ]
Petrov, Adrien [1 ]
机构
[1] Univ Lyon, CNRS, INSA Lyon Inst Camille Jordan UMR 5208, 20 Ave Einstein, F-69621 Villeurbanne, France
关键词
Euler-Bernoulli beam equation; Coulomb friction law; Existence result;
D O I
10.1016/j.nonrwa.2021.103427
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with a dynamic Euler-Bernoulli beam equation. The beam relies on a foundation composed of a continuous distribution of linear elastic springs. In addition to this time dependent uniformly distributed force, the model includes a continuous distribution of Coulomb frictional dampers, formalized by a partial differential inclusion. Under appropriate regularity assumptions on the initial data, the existence of a weak solution is obtained as a limit of a sequence of solutions associated with some physically relevant regularized problems. (C) 2021 Published by Elsevier Ltd.
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收藏
页数:13
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