Conservative Semidiscrete Difference Schemes for Timoshenko Systems

D. S. Almeida Júnior

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/686421

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:686421

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