Conservative Semidiscrete Difference Schemes for Timoshenko Systems

D. S. Almeida Júnior

Journal of Applied Mathematics, 2014, vol. 2014, 1-7

Abstract:

We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as locking phenomenon on shear force. Our method of proof relies on discrete multiplier techniques.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:686421

DOI: 10.1155/2014/686421

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