Journal ArticleDOI
A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
Juan C. Simo,N. Tarnow +1 more
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In this paper, a numerical timeintegration scheme for the dynamics of nonlinear elastic shells is presented that simultaneously and independent of the time-step size inherits exactly the conservation laws of total linear, total angular momentum as well as total energy.Abstract:
A numerical time-integration scheme for the dynamics of non-linear elastic shells is presented that simultaneously and independent of the time-step size inherits exactly the conservation laws of total linear, total angular momentum as well as total energy The proposed technique generalizes to non-linear shells recent work of the authors on non-linear elastodynamics and is ideally suited for long-term/large-scale simulations The algorithm is second-order accurate and can be immediately extended with no modification to a fourth-order accurate scheme The property of exact energy conservation induces a strong notion of non-linear numerical stability which manifests itself in actual simulationsread more
Citations
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Journal ArticleDOI
Time Integration and Discrete Hamiltonian Systems
TL;DR: In this article, a formalism for the design of conserving time-integration schemes for Hamiltonian systems with symmetry is developed, and the main result is that implicit second-order conserving schemes can be constructed for general systems which preserve the Hamiltonian along with a certain class of first integrals arising from affine symmetries.
Journal ArticleDOI
Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction
Journal ArticleDOI
Computational strategies for flexible multibody systems
Tamer M. Wasfy,Ahmed K. Noor +1 more
TL;DR: The status and some recent developments in computational modeling of flexible multibody systems are summarized in this article, where a number of aspects of flexible multi-body dynamics including: modeling of the flexible components, constraint modeling, solution techniques, control strategies, coupled problems, design, and experimental studies.
Journal ArticleDOI
Energy‐conserving and decaying Algorithms in non‐linear structural dynamics
Detlef Kuhl,M. A. Crisfield +1 more
Abstract: A generalized formulation of the Energy-Momentum Methodwill be developed within the framework of the GeneralizedMethodwhich allows at the same time guaranteed conservation or decay of total energy and controllable numerical dissipation of unwanted high frequency response. Furthermore, the latter algorithm will be extended by the consistently integrated constraints of energy and momentum conservation originally derived for the Constraint Energy-Momentum Algorithm. The goal of this general approach of implicit energyconserving and decaying time integration schemes is, to compare these algorithms on the basis of an equivalent notation by the means of an overall algorithmic design and hence to investigate their numerical properties. Numerical stability and controllable numerical dissipation of high frequencies will be studied in application to non-linear structural dynamics. Among the methods considered will be the Newmark Method, the classical -methods, the Energy-Momentum Methodwith and without numerical dissipation, the Constraint EnergyMomentum Algorithm and the Constraint Energy Method. Copyright ? 1999 John Wiley & Sons, Ltd.
Journal ArticleDOI
A survey of recent shell finite elements
TL;DR: A comprehensive survey of the literature on curved shell finite elements can be found in this article, where the first two present authors and Liaw presented a survey of such literature in 1990 in this journal.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
On stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization
Juan C. Simo,D. D. Fox +1 more
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On a stress resultant geometrically exact shell model. Part III: computational aspects of the nonlinear theory
TL;DR: In this article, a configuration update procedure for the director (rotation) field is developed, which is singularity free and exact regardless the magnitude of the rotation increment, and the exact linearization of the discrete form of the equilibrium equations is derived in closed form.
Journal ArticleDOI
The discrete energy-momentum method: conserving algorithms for nonlinear elastodynamics
Juan C. Simo,N. Tarnow +1 more
TL;DR: In this article, a second order accurate algorithm is presented that exhibits exact conservation of both total (linear and angular) momentum and total energy in a Galerkin finite element implementation and is suitable for long-term/large-scale simulations.
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