Abstract
We give a presentation of the mathematical and numerical treatment of plate dynamics problems including rotational inertia. The presence of rotational inertia in the equation of motion makes the study of such problems interesting. We employ HCT finite elements for space discretization and the Newmark method for time discretization in FreeFEM++, and test such methods in some significant cases: a circular plate clamped all over its lateral surface, a rectangular plate simply supported all over its lateral surface, and an L-shaped clamped plate.
Funding: This work has been partially supported by the French Agence Nationale de la Recherche (ANR) under grant ARAMIS (Projet ‘Blanc’, No. ANR 12 BS01-0021) (Analysis of Robust Asymptotic Methods in Numerical Simulation in Mechanics).
Acknowledgment
We thank Frédéric Hecht for his support and collaboration.
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