Geometrically exact planar Euler-Bernoulli beam and time integration procedure for multibody dynamics
Open Access
- 7 July 2020
- journal article
- Published by Springer Science and Business Media LLC in Advanced Modeling and Simulation in Engineering Sciences
- Vol. 7 (1), 1-37
- https://doi.org/10.1186/s40323-020-00166-1
Abstract
A new formulation of geometrically exact planar Euler-Bernoulli beam in multi-body dynamics is proposed. For many applications, the use of the Euler-Bernoulli model is sufficient and has the advantage of being a nodal displacement-only formulation avoiding the integration of rotational degrees of freedom. In this paper, an energy momentum method is proposed for the nonlinear in-plane dynamics of flexible multi-body systems, including the effects of revolute joints with or without torsional springs. Large rotational angles of the joints are accurately calculated. Several numerical examples demonstrate the accuracy and the capabilities of the new formulation.Keywords
Funding Information
- Institut National des Sciences Appliquées Rennes (NA)
This publication has 41 references indexed in Scilit:
- A hybrid dynamic motion prediction method for multibody digital human models based on a motion database and motion knowledgeMultibody System Dynamics, 2013
- On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approachJournal of Sound and Vibration, 2008
- The helicoidal modeling in computational finite elasticity. Part I: Variational formulationInternational Journal of Solids and Structures, 2004
- An energy–momentum integration scheme and enhanced strain finite elements for the non-linear dynamics of shellsInternational Journal of Non-Linear Mechanics, 2002
- A TWO-DIMENSIONAL SHEAR DEFORMABLE BEAM FOR LARGE ROTATION AND DEFORMATION PROBLEMSJournal of Sound and Vibration, 2001
- Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy–momentum schemesComputer Methods in Applied Mechanics and Engineering, 2000
- DEVELOPMENT OF SIMPLE MODELS FOR THE ELASTIC FORCES IN THE ABSOLUTE NODAL CO-ORDINATE FORMULATIONJournal of Sound and Vibration, 2000
- Energy preserving/decaying schemes for non-linear beam dynamics using the helicoidal approximationComputer Methods in Applied Mechanics and Engineering, 1997
- An intrinsic beam model based on a helicoidal approximation—Part II: Linearization and finite element implementationInternational Journal for Numerical Methods in Engineering, 1994
- An intrinsic beam model based on a helicoidal approximation—Part I: FormulationInternational Journal for Numerical Methods in Engineering, 1994