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Title: Numerical stability of the intrinsic equations for beams in time domain (English)
Author: Klesa, Jan
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Hejnice, June 24-29, 2018
Issue: 2018
Pages: 71-80
Category: math
Summary: Intrinsic equations represent promising approach for the description of rotor blade dynamics. They are the system of non-linear partial differential equations. Stability of numeric solution by the finite difference method is described. The stability is studied for various numerical schemes with different methods for the computation of spatial derivatives from time level $n+0.5$ (i.e., mean values of old and new time step) to $n+1$ (i.e., only from new time step). Stable solution was obtained only for schemes between $n+0.55$ and $n+0.9$. This does not correspond to the assumption that more implicit schemes have more numeric stability. (English)
Keyword: finite difference method
Keyword: intrinsic equations for beams
Keyword: numeric stability
MSC: 65M06
MSC: 65M12
DOI: 10.21136/panm.2018.08
Date available: 2019-04-29T13:36:10Z
Last updated: 2021-05-05
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