Dynamic and time-stepping schemes for elastic shells undergoing finite rotationsBrank, Boštjan (Avtor) Korelc, Jože (Avtor) Ibrahimbegović, Adnan (Avtor) shellstime-stepping schemesenergy conservationenergy decayingfinite rotationsnonlinear dynamicsfinite elrmentsIn 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.Elsevier20032015-07-10 10:13:06Neznano32205UDK: 624.074.4ISSN pri članku: 0045-7949COBISS_ID: 1916001OceCobissID: 4419338sl