Conservative Semidiscrete Difference Schemes for Timoshenko Systems

الملخص EN

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.