An energy and momentum conserving method for rigid–flexible body dynamics
- 7 December 2001
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 53 (6) , 1393-1414
Abstract
In this work, an energy and momentum conserving method is developed for doing coupled flexible and rigid body dynamics. The main focus is on the bilateral connection of flexible finite elements to rigid bodies. The coupling of rigid bodies at joints is also introduced. Existing conserving algorithms for individual (un‐coupled) rigid and flexible bodies are exploited and modified for the coupled system. By using the appropriate rigid body rotational update and generalized force definitions, the resulting rigid–flexible and rigid–rigid systems are unconditionally stable and conserve linear and angular momentum. The conservation and stability properties are demonstrated in numerical simulation. Published in 2001 by John Wiley & Sons, Ltd.Keywords
This publication has 11 references indexed in Scilit:
- Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy–momentum schemesComputer Methods in Applied Mechanics and Engineering, 2000
- Unconditionally energy stable implicit time integration: application to multibody system analysis and designInternational Journal for Numerical Methods in Engineering, 2000
- Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithmsInternational Journal for Numerical Methods in Engineering, 1995
- A new energy and momentum conserving algorithm for the non‐linear dynamics of shellsInternational Journal for Numerical Methods in Engineering, 1994
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamicsZeitschrift für angewandte Mathematik und Physik, 1992
- Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentumInternational Journal for Numerical Methods in Engineering, 1991
- On the dynamics in space of rods undergoing large motions — A geometrically exact approachComputer Methods in Applied Mechanics and Engineering, 1988
- A three-dimensional finite-strain rod model. part II: Computational aspectsComputer Methods in Applied Mechanics and Engineering, 1986
- Generalization of selective integration procedures to anisotropic and nonlinear mediaInternational Journal for Numerical Methods in Engineering, 1980
- Finite-Element Methods for Nonlinear Elastodynamics Which Conserve EnergyJournal of Applied Mechanics, 1978