Solvability of the clamped Euler-Bernoulli beam equation

被引：16
|
作者：
Baysal, Onur [1 ,2 ]
Hasanov, Alemdar [3 ]
机构：
[1] Bahcesehir Coll, Sci & Technol High Sch, Izmir, Turkey
[2] Univ Sao Paulo, Escola Politecn, Sao Paulo, Brazil
[3] Dogus Univ, Dept Mech Engn, Istanbul, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 93卷
关键词：
Euler-Bernoulli beam; Weak solution; Existence; Uniqueness; VIBRATION;
D O I：
10.1016/j.aml.2019.02.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, solvability of the initial boundary value problem for general form Euler-Bernoulli beam equation which includes also moving point-loads is investigated. The complete proof of an existence and uniqueness properties of the weak solution of the considered equation with Dirichlet type boundary conditions is derived. The method used here is based on Galerkin approximation which is the main tool for the weak solution theory of linear evolution equations as well as in derivation of a priori estimate for the approximate solutions. All steps of the proposed technique are explained in detail. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：85 / 90
页数：6
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