Boštjan Brank in Jože Korelc in Adnan Ibrahimbegović (2003) Dynamics and Time-Stepping Schemes for Elastic Shells Undergoing Finite Rotations.. Computers & Structures, 81 (12). str. 1193-1210. ISSN 00457949
Povzetek
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.
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