Conservative Semidiscrete Difference Schemes for Timoshenko Systems | Zendy

D. S. Almeida Júnior | Zendy

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Conservative Semidiscrete Difference Schemes for Timoshenko Systems

Author(s) -

D. S. Almeida Júnior

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/686421

Subject(s) - mathematics , inertia , parameterized complexity , multiplier (economics) , conservation of energy , shear (geology) , finite difference , mathematical analysis , classical mechanics , physics , algorithm , economics , macroeconomics , thermodynamics , petrology , geology

We present a parameterized family of finite-difference schemes to analyze the energyproperties for linearly elastic constant-coefficient Timoshenko systems considering shear deformationand rotatory inertia. We derive numerical energies showing the positivity, and the energy conservationproperty 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

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