A constitutive equation of the differential type is introduced to model the nonlinear viscoelastic response behavior of elastomeric bearings in large-scale system simulations for vibration assessment and component loads prediction. The model accounts for the nonlinear dependence of dynamic stiffness and damping on vibration amplitude commonly observed in the behavior of bearings made of particle-reinforced elastomers. A testing procedure for the identification of the model parameters from bearing component test data is described. The experimental and analytical results for predicting the behavior of four (4) different car bushings are presented. In an example application, the model is incorporated in an ADAMS simulation to study the dynamic behavior of a car rear suspension.

Issue Section:
Technical Papers
Topics:
Bearings, Modeling, Simulation, Vibration, Bushings, Damping, Elastomers, Particulate matter, Stiffness, Stress, Testing
1.
Alanoly, J., 1990, “Elastomeric Component Model Tests,” Ford Motor Co., Road Load and Structures Test Department Rept. Test Order No. E-25859.
2.
Bates, D. M., and Watts, D. G., 1988, Nonlinear Regression Analysis and Its Application, Wiley, New York.
3.
Draper, N. R., and Smith, H., 1981, Applied Regression Analysis, Wiley, 2nd Edition.
4.
Govindjee
S.
, and
Simo
J. C.
,
1991
, “
A Micro-Mechanically Based Continuum Damage Model for Carbon Black-Filled Rubbers Incorporating Mullins’ Effect
,”
J. Mech. Phys. Solids
, Vol.
39
, pp.
87
–
112
.
5.
Govindjee
S.
, and
Simo
J. C.
,
1992
a, “
Mullins’ Effect and the Strain Amplitude Dependence of the Storage Modulus
,”
Int. J. Solids Structures
, Vol.
29
, pp.
1737
–
1751
.
6.
Govindjee
S.
, and
Simo
J. C.
,
1992
b, “
Transition From Micromechanics to Computationally Efficient Phenomenology: Carbon Black-Filled Rubbers Incorporating Mullins’ Effect
,”
J. Mech. Phys. Solids
, Vol.
29
, pp.
213
–
233
.
7.
Hamed
G. R.
, and
Hatfield
S.
,
1989
, “
On the Role of Bound Rubber in Carbon Black Reinforcement
,”
Rubber Chem. Tech.
, Vol.
62
, pp.
143
–
156
.
8.
Harris, J., and Stevenson, A., 1986, “On the Role of Non-Linearity in the Dynamic Behavior of Rubber Components,” Proceedings of the International Association for Vehicle Design, Geneva, 3–6 Mar., pp. E109–E134.
9.
Kuo, E. Y., 1997, “Testing and Characterization of Elastomeric Bushings for Large Deflection Behavior,” SAE Paper No, 970099.
10.
Mullins
L.
,
1969
, “
Softening of Rubber by Deformation
,”
Rubber Chemistry & Technology
, Vol.
42
, pp.
339
–
362
.
11.
Simo
J. C.
,
1987
, “
On a Fully Three Dimensional Finite-Strain Viscoelastic Damage Model: Formulation and Computational Aspects
,”
Computer Methods in Applied Mechanics and Engineering
, Vol.
60
, pp.
153
–
173
.
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