Energy conserving time integration scheme for geometrically exact beam
type: Item
instance of: scholarly article
title: Energy conserving time integration scheme for geometrically exact beam
zbMATH Open document ID: 1173.74419
author: Igor Planinc
author: Matjaž Gams
author: Miran Saje
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2009-11-06T00:00:00Z
full work available at URL: https://repozitorij.uni-lj.si/Dokument.php
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 5626646
zbMATH Keywords: non-linear dynamics
zbMATH Keywords: geometrically exact beam
zbMATH Keywords: stiff problems
zbMATH Keywords: time integration
zbMATH Keywords: conserving algorithms
describes a project that uses: SMS
describes a project that uses: Matlab
MaRDI profile type: Publication
OpenAlex ID: W2112646443
cites work: On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics
cites work: On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. II: Second-order methods.
cites work: Numerical integration of non‐linear elastic multi‐body systems
cites work: Energy decaying scheme for nonlinear elastic multi-body systems
cites work: Energy decaying scheme for nonlinear beam models
cites work: Computational schemes for non-linear elasto-dynamics
cites work: Robust integration schemes for flexible multibody systems.
cites work: Q4499064
cites work: Inherently energy conserving time finite elements for classical mechanics
cites work: Constrained dynamics of geometrically exact beams
cites work: An energy decaying scheme for nonlinear dynamics of shells
cites work: Integrating finite rotations
cites work: Integration of elastic multibody systems by invariant conserving/dissipating algorithms. I: Formulation. II: Numerical schemes and applications
cites work: Energy dissipative time finite elements for classical mechanics.
cites work: A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
cites work: A co‐rotational element/time‐integration strategy for non‐linear dynamics
cites work: Dynamics of 3-D co-rotational beams
cites work: Quadratic and higher-order constraints in energy-conserving formulations of flexible multibody systems
cites work: Dynamic analysis of planar flexible mechanisms by co-rotational formulation
cites work: Q4003665
cites work: Nonlinear dynamics of flexible beams in planar motion: formulation and time-stepping scheme for stiff problems
cites work: Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations.
cites work: Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes
cites work: Dynamic analysis of 3D beams with joints in the presence of large rotations
cites work: Automatic generation of finite-element code by simultaneous optimization of expressions
cites work: Q4269570
cites work: Generalized energy-momentum method for nonlinear adaptive shell dynamics
cites work: On one-dimensional finite-strain beam theory: the plane problem
cites work: Numerical integration of the stiff dynamics of geometrically exact shells: an energy-dissipative momentum-conserving scheme
cites work: A kinematically exact finite element formulation of planar elastic-plastic frames
cites work: Nonlinear dynamics of shells: Theory, finite element formulation, and integration schemes
cites work: An energy-momentum integration scheme and enhanced strain finite elements for the non-linear dynamics of shells
cites work: On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I
cites work: Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
cites work: An energy-conserving planar finite beam element for dynamics of flexible mechanisms
DOI: 10.1016/J.CMA.2006.10.012
description: scientific article; zbMATH DE number 5626646