Dynamic and time-stepping schemes for elastic shells undergoing finite rotations
In this work we study the time-stepping schemes for shell models, which describe the shell-director vector motion by the finite rotations. Different possibilities for choosing director rotations are examined and their relationships are cast in terms of the commutative diagram. The Newmark time-stepping schemes, making use of different rotation parameters, are then developed. The mid-point scheme modified to either conserve or dissipate the total energy is further examined. Several numerical simulations are presented to illustrate the performance of each developed scheme.
2003
2015-07-10 10:13:06
1033
shells, time-stepping schemes, energy conservation, energy decaying, finite rotations, nonlinear dynamics, finite elrments
lupine, velike rotacije, časovne integracijske sheme, ohranitev energije, disipacija energije
Elsevier
Boštjan
Brank
70
Jože
Korelc
70
Adnan
Ibrahimbegović
70
UDK
4
624.074.4
ISSN pri članku
9
0045-7949
COBISS_ID
3
1916001
OceCobissID
13
4419338
0
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Dynamics_CS_Brank___k.pdf
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