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Constrained finite rotations in dynamics of shells and Newmark implicit time‐stepping schemes

Boštjan Brank (Faculty of Civil and Geodetic Engineering, University of Ljubljana, Ljubljana, Slovenia)
Said Mamouri (1900 Route des cretes les collines de Sophia Bat E1‐BP 152, 06903 Sophia Antipolis, France)
Adnan Ibrahimbegović (Ecole Normale Supérieure de Cachan, Cachan, France)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 July 2005

395

Abstract

Purpose

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Aims to address the issues pertaining to dynamics of constrained finite rotations as a follow‐up from previous considerations in statics.

Design/methodology/approach

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A conceptual approach is taken.

Findings

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In this work the corresponding version of the Newmark time‐stepping schemes for the dynamics of smooth shells employing constrained finite rotations is developed. Different possibilities to choose the constrained rotation parameters are discussed, with the special attention given to the preferred choice of the incremental rotation vector.

Originality/value

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The pertinent details of consistent linearization, rotation updates and illustrative numerical simulations are supplied.

Keywords

Citation

Brank, B., Mamouri, S. and Ibrahimbegović, A. (2005), "Constrained finite rotations in dynamics of shells and Newmark implicit time‐stepping schemes", Engineering Computations, Vol. 22 No. 5/6, pp. 505-535. https://doi.org/10.1108/02644400510602998

Publisher

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Emerald Group Publishing Limited

Copyright © 2005, Emerald Group Publishing Limited

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