Abstract
In this paper the interaction between two rigid parts of a multibody, connected by an ideal spherical joint equipped with a visco-elastic torsion bushing element, is derived. The model allows for arbitrary relative rotations of the parts and involves a non-linear torsion stiffness of the bushing. An expression for the interaction between the parts is derived and a specialization to the isotropic bushing element is presented.
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References
1.
Rahnejat
H
. Multibody dynamics: historical evolution and application . Proc Instn Mech Engrs Part C: Journal of Mechanical Engineering Science 2000 ; 214 (1 ): 149 –173
2.
Ambrósio
J
Verissimo
P
. Improved bushing models for general multibody systems and vehicle dynamics . Multibody Syst Dyn 2009 ; 22 : 342 –365 .
3.
Kadlowec
J
Wineman
A
Hulbert
G
. Elastomer bushing response: experiments and finite element modeling . Acta Mech 2003 ; 163 : 25 –38 .
4.
Lee
SB
Wineman
A
. A model for nonlinear viscoelastic torsional response of en elastomeric bushing . Acta Mech 1999 ; 135 : 199 –218 .
5.
Ledesma
R
Ma
Z-D
Hulbert
G
Wineman
A
. A nonlinear viscoelastic bushing element in multibody dynamics . Comput Mech 1996 ; 17 : 287 –296 .
6.
Lidström
P
. On the equations of motion in multibody dynamics . Math Mech Solids 2012 ; 17 : 165 –205 .
7.
Lidström
P
. On the equations of motion in constrained multibody dynamics . Math Mech Solids 2012 ; 17 : 209 –242 .
8.
Geradin
M
Cardona
A
. Flexible multibody dynamics . Chichester : J. Wiley & Sons , 2001 .
9.
Truesdell
CA
. A first course in rational continuum mechanics . Vol. 1 , 2nd ed. San Diego : Academic Press, Inc ., 1991 .