Engineering Computations: International Journal for Computer-Aided Engineering and Software: Engineering Structures: Nonlinear Analysis, Optimal Design and Identification, Volume 22, Number 5/6, 2005

Constrained Finite Rotations in Dynamics of Shells and Newmark Implicit Time-Stepping Schemes

Bo tjan 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, and
Adnan Ibrahimbegovi?
Ecole Normale Sup rieure de Cachan, Cachan, France

Engineering Computations: International Journal for Computer-Aided Engineering and Software
Vol. 22 No. 5/6, 2005
pp. 505-535
Emerald Group Publishing Limited
0264-4401
DOI 10.1108/02644400510602998
Received August 2004
Revised January 2005
Accepted January 2005

Overview

This work was supported by the Slovenia-France research collaboration PROTEUS and by the Ministry of Education, Science and Sport of Slovenia.

Abstract

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

Design/methodology/approach A conceptual approach is taken.

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

Keywords Shell structures, Dynamics, Numerical analysis

Paper type Research paper

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