Nonlinear Dynamics of Shells

Theory, Finite Element Formulation, and Integration Schemes *

authored by: C. Sansour, Peter Wriggers, J. Sansour
Abstract: The paper is concerned with a dynamical formulation of a recently established shell theory capable to catch finite deformations and falls within the class of geometrically exact shell theories. A basic aspect is the design of time integration schemes which preserve specific features of the continuous system such as conservation of momentum, angular momentum, and energy when the applied forces allow to. The integration method differs from the one recently proposed by Simo and Tarnow in being applicable without modifications to shell formulations with linear as well as nonlinear configuration spaces and in being independent of the nonlinearities involved in the strain-displacement relations. A finite element formulation is presented and various examples of nonlinear shell dynamics including large overall and chaotic motions are considered.
External Organisation(s): Technische Universität Darmstadt
Type: Article
Journal: Nonlinear dynamics
Volume: 13
Pages: 279-305
No. of pages: 27
ISSN: 0924-090X
Publication date: 07.1997
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Control and Systems Engineering, Aerospace Engineering, Ocean Engineering, Mechanical Engineering, Applied Mathematics, Electrical and Electronic Engineering
Electronic version(s): https://doi.org/10.1023/A:1008251113479 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{d8a4f823082046f881f6e8c92d0bf0e0,
title = "Nonlinear Dynamics of Shells: Theory, Finite Element Formulation, and Integration Schemes *",
abstract = "The paper is concerned with a dynamical formulation of a recently established shell theory capable to catch finite deformations and falls within the class of geometrically exact shell theories. A basic aspect is the design of time integration schemes which preserve specific features of the continuous system such as conservation of momentum, angular momentum, and energy when the applied forces allow to. The integration method differs from the one recently proposed by Simo and Tarnow in being applicable without modifications to shell formulations with linear as well as nonlinear configuration spaces and in being independent of the nonlinearities involved in the strain-displacement relations. A finite element formulation is presented and various examples of nonlinear shell dynamics including large overall and chaotic motions are considered.",
keywords = "Chaos, Finite elements, Integration schemes, Nonlinear shell dynamics",
author = "C. Sansour and Peter Wriggers and J. Sansour",
year = "1997",
month = jul,
doi = "10.1023/A:1008251113479",
language = "English",
volume = "13",
pages = "279--305",
journal = "Nonlinear dynamics",
issn = "0924-090X",
publisher = "Springer Netherlands",
number = "3",
}