A Formulation on the Special Euclidean Group for Dynamic Analysis of Multibody Systems

2014 ◽  
Vol 9 (4) ◽  
Author(s):  
Valentin Sonneville ◽  
Olivier Brüls
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Rigid Bodies ◽  
Practical Case ◽  
Numerical Implementation ◽  
Euclidean Group ◽  
Finite Element Approach ◽  
Local Description ◽  
Element Approach ◽  
Special Euclidean Group

This paper presents a finite element approach of multibody systems using the special Euclidean group SE(3) framework. The development leads to a compact and unified mixed coordinate formulation of the rigid bodies and the kinematic joints. Flexibility in the kinematic joints is also easily introduced. The method relies on local description of motions, so that it provides a singularity-free formulation and exhibits important advantages regarding numerical implementation. A practical case is presented to illustrate the method.

Finite element approach for transient analysis of multibody systems

1992 ◽  
Vol 15 (4) ◽  
pp. 847-854 ◽  
Author(s):  
Shih-Chin Wu ◽  
Che-Wei Chang ◽  
Jerrold M. Housner
Keyword(s):  
Finite Element ◽  
Multibody Systems ◽  
Transient Analysis ◽  
Finite Element Approach ◽  
Element Approach

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk
Keyword(s):  
Finite Element ◽  
Traffic Noise ◽  
Complex Eigenvalue ◽  
Arbitrary Lagrangian Eulerian ◽  
Finite Element Approach ◽  
Road Systems ◽  
Element Approach ◽  
Road Surface Roughness ◽  
Complex Eigenvalue Analysis ◽  
Rolling Noise

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

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