Author:
Andr-Pascal Abro Goh,Jean-Marc Bomisso Gossrin,Augustin Tour Kidjgbo,Adama Coulibaly
Abstract
In this paper, we numerically study a flexible Euler-Bernoulli beam with a force control in velocity and a moment control in rotating velocity. First, we show the existence and uniqueness of the weak solution using Faedo-Galerkin’s method with the intermediate spaces. Then, we use the finite elements method with the cubic Hermite polynomials for the approximation of (1.1)–(1.5) in space such that the semi-discrete scheme obtained is stable and convergent. In addition, an a-priori error estimate is obtained. Finally, we perform numerical simulations in order to validate this method.
Publisher
Informatics Publishing Limited
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