Details
| Original language | English |
|---|---|
| Pages (from-to) | 279-305 |
| Number of pages | 27 |
| Journal | Nonlinear dynamics |
| Volume | 13 |
| Issue number | 3 |
| Publication status | Published - Jul 1997 |
| Externally published | Yes |
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
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
- Engineering(all)
- Electrical and Electronic Engineering
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In: Nonlinear dynamics, Vol. 13, No. 3, 07.1997, p. 279-305.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nonlinear Dynamics of Shells
T2 - Theory, Finite Element Formulation, and Integration Schemes *
AU - Sansour, C.
AU - Wriggers, Peter
AU - Sansour, J.
PY - 1997/7
Y1 - 1997/7
N2 - 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.
AB - 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.
KW - Chaos
KW - Finite elements
KW - Integration schemes
KW - Nonlinear shell dynamics
UR - http://www.scopus.com/inward/record.url?scp=0031192633&partnerID=8YFLogxK
U2 - 10.1023/A:1008251113479
DO - 10.1023/A:1008251113479
M3 - Article
AN - SCOPUS:0031192633
VL - 13
SP - 279
EP - 305
JO - Nonlinear dynamics
JF - Nonlinear dynamics
SN - 0924-090X
IS - 3
ER -