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Mathematical and numerical modeling of plate dynamics with rotational inertia

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.
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Submitted on : Thursday, December 15, 2016 - 8:21:00 AM
Last modification on : Tuesday, October 25, 2022 - 4:22:49 PM
Long-term archiving on: : Thursday, March 16, 2017 - 5:01:22 PM


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Francesco Bonaldi, Giuseppe Geymonat, Françoise Krasucki, Marina Vidrascu. Mathematical and numerical modeling of plate dynamics with rotational inertia. Journal of Numerical Mathematics, 2017, 26 (1), pp.1 - 20. ⟨10.1515/jnma-2016-1020⟩. ⟨hal-01413037⟩



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