Mathematical and numerical modeling of plate dynamics with rotational inertia

Mathematical and numerical modeling of plate dynamics with rotational inertia AbstractWe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Numerical Mathematics de Gruyter

Mathematical and numerical modeling of plate dynamics with rotational inertia

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1569-3953
eISSN
1569-3953
D.O.I.
10.1515/jnma-2016-1020
Publisher site
See Article on Publisher Site

Abstract

AbstractWe 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.

Journal

Journal of Numerical Mathematicsde Gruyter

Published: Mar 26, 2018

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