Numerical study of the damped Timoshenko beam
DOI:
https://doi.org/10.15381/pesquimat.v25i1.23140Keywords:
Timoshenko beam, nite di_erence method, numerical scheme, von Neumann analysis, stability of the numerical schemeAbstract
In this work, we make a qualitative study of a numerical scheme associated with the one-dimensional model of the damped Timoshenko beam equation. The scheme is derived by applying the finite difference method, and we obtain conditions through the von Neumann analysis, which allows us to ensure the stability of the approximate scheme. We also study the consistency of the scheme and conclude, thanks to the Lax equivalence theorem, that the numerical scheme is convergent. Furthermore, we derive formulas for the approximate numerical solutions of the model under study.
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Copyright (c) 2022 Julio Román Loayza Cerrón
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