Numerical stability of the intrinsic equations for beams in time domain

Klesa, Jan. "Numerical stability of the intrinsic equations for beams in time domain." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 71-80. <http://eudml.org/doc/294923>.

@inProceedings{Klesa2019,
abstract = {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.},
author = {Klesa, Jan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {finite difference method; intrinsic equations for beams; numeric stability},
location = {Prague},
pages = {71-80},
publisher = {Institute of Mathematics CAS},
title = {Numerical stability of the intrinsic equations for beams in time domain},
url = {http://eudml.org/doc/294923},
year = {2019},
}

TY - CLSWK
AU - Klesa, Jan
TI - Numerical stability of the intrinsic equations for beams in time domain
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 71
EP - 80
AB - 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.
KW - finite difference method; intrinsic equations for beams; numeric stability
UR - http://eudml.org/doc/294923
ER -