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Jean-Marc, Bomisso Gossrin
- A Numerical Study for a Flexible Euler-Bernoulli Beam with a Force Control in Velocity and a Moment Control in Rotating Velocity
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Authors
Affiliations
1 Institut National Polytechnique Houphout-Boigny de Yamoussoukro, CI
2 Universit Nangui Abrogoua d’Abobo-Adjam, CI
3 Universit Flix Houphout Boigny de Cocody, CI
1 Institut National Polytechnique Houphout-Boigny de Yamoussoukro, CI
2 Universit Nangui Abrogoua d’Abobo-Adjam, CI
3 Universit Flix Houphout Boigny de Cocody, CI
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 125-148Abstract
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.Keywords
Beam Equation, Existence and Uniqueness, Higher Regularity, Finite Element Method, Galerkin Method, Priori Estimates.
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