A Nonlinear Finite Element Framework for Flexible Multibody Dynamics: Rotationless Formulation and Energy-Momentum Conserving Discretization

2008 ◽  
pp. 119-141
Author(s):  
Betsch Peter ◽  
Nicolas Sänger
Keyword(s):  
Finite Element ◽  
Multibody Dynamics ◽  
Flexible Multibody Dynamics ◽  
Nonlinear Finite Element ◽  
Flexible Multibody

Incremental Finite Element Formulations and Flexible Multibody Dynamics

1999 ◽  
Author(s):  
Marcello Berzeri ◽  
Marcello Campanelli ◽  
A. A. Shabana
Keyword(s):  
Finite Element ◽  
Multibody Dynamics ◽  
Multibody Systems ◽  
Absolute Nodal Coordinate Formulation ◽  
Flexible Multibody Dynamics ◽  
Flexible Multibody Systems ◽  
Large Displacement ◽  
Absolute Nodal Coordinate ◽  
Flexible Multibody ◽  
Finite Element Formulations

Abstract In this investigation, the performance of two different large displacement finite element formulations in the analysis of flexible multibody systems is investigated. These are the incremental corotational procedure proposed by Rankin and Brogan [8] and the non-incremental absolute nodal coordinate formulation recently proposed [9]. It is demonstrated in this investigation that the limitation resulting from the use of the nodal rotations in the incremental corotational procedure can lead to simulation problems even when very simple flexible multibody applications are considered.

Finite Element Method of Flexible Multibody Dynamics Based on a New Kind of Floating Frame

1991 ◽  
Author(s):  
You-Fang Lu ◽  
Zhao-Hui Qi ◽  
Bin Wang ◽  
Guan-Min Feng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Analysis ◽  
Multibody Dynamics ◽  
Equations Of Motion ◽  
Flexible Multibody Dynamics ◽  
Flexible Multibody ◽  
Floating Frame ◽  
Element Method

Abstract A new kind of floating frame whose parameters do not appear in equations of motion as additional unknowns is defined. Numerical analysis of flexible multibody dynamics is much facilitated by using finite-element iteration of the corresponding equations based on this concept.

scholarly journals Multibody dynamics modeling of electromagnetic direct-drive vehicle robot driver

2017 ◽  
Vol 14 (5) ◽  
pp. 172988141773189 ◽  
Author(s):  
Gang Chen ◽  
Weigong Zhang ◽  
Bing Yu
Keyword(s):  
Finite Element ◽  
Multibody Dynamics ◽  
Flexible Multibody Dynamics ◽  
Direct Drive ◽  
Dynamics Modeling ◽  
Dynamics Model ◽  
Element Mesh ◽  
Flexible Multibody ◽  
Discrete Processing ◽  
Rigid Multibody

Collaborative dynamics modeling of flexible multibody and rigid multibody for an electromagnetic direct-drive vehicle robot driver is proposed in the article. First, spatial dynamic equations of the direct-drive vehicle robot driver are obtained based on multibody system dynamics. Then, the shift manipulator dynamics model and the mechanical leg dynamics model are established on the basis of the multibody dynamics equations. After establishing a rigid multibody dynamics model and conducting finite element mesh and finite element discrete processing, a flexible multibody dynamics modeling of the electromagnetic direct-drive vehicle robot driver is established. The comparison of the simulation results between rigid and flexible multibody is performed. Simulation and experimental results show the effectiveness of the presented model of the electromagnetic direct-drive vehicle robot driver.

Variational Integrators and Energy-Momentum Schemes for Flexible Multibody Dynamics

2010 ◽  
Vol 5 (3) ◽  
Author(s):  
Peter Betsch ◽  
Christian Hesch ◽  
Nicolas Sänger ◽  
Stefan Uhlar
Keyword(s):  
Multibody Dynamics ◽  
Flexible Multibody Dynamics ◽  
Discrete Systems ◽  
Differential Algebraic Equations ◽  
Nonlinear Finite Element ◽  
Variational Integrators ◽  
Algebraic Equations ◽  
Variational Integrator ◽  
Nonlinear Finite Element Methods ◽  
Flexible Multibody

This work contains a comparison between variational integrators and energy-momentum schemes for flexible multibody dynamics. In this connection, a specific “rotationless” formulation of flexible multibody dynamics is employed. Flexible components such as continuum bodies and geometrically exact beams and shells are discretized in space by using nonlinear finite element methods. The motion of the resulting discrete systems are governed by a uniform set of differential-algebraic equations (DAEs). This makes possible the application and comparison of previously developed structure-preserving methods for the numerical integration of the DAEs. In particular, we apply a specific variational integrator and an energy-momentum scheme. The performance of both integrators is assessed in the context of three representative numerical examples.

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