Dynamic and time-stepping schemes for elastic shells undergoing finite rotations

Brank, Boštjan (author), Korelc, Jože (author), Ibrahimbegović, Adnan (author)

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.

• Language: English
• Keywords: shells, time-stepping schemes, energy conservation, energy decaying, finite rotations, nonlinear dynamics, finite elrments
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: Elsevier
• Year: 2003
• Number of pages: Str. 1193-1210
• Numbering: Vol. 81, Issue 12
• PID: 20.500.12556/RUL-32205
• UDC: 624.074.4
• ISSN on article: 0045-7949
• COBISS.SI-ID: 1916001
• Publication date in RUL: 10.07.2015

BRANK, Boštjan, KORELC, Jože and IBRAHIMBEGOVIĆ, Adnan, 2003, Dynamic and time-stepping schemes for elastic shells undergoing finite rotations. Computers & structures [online]. 2003. Vol. 81, no. 12, p. 1193–1210. [Accessed 16 May 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=32205

Record is a part of a journal

• Title: Computers & structures
• Shortened title: Comput. struct.
• Publisher: Elsevier
• ISSN: 0045-7949
• COBISS.SI-ID: 4419338

Secondary language

• Language: English
• Keywords: lupine, velike rotacije, časovne integracijske sheme, ohranitev energije, disipacija energije