Browse > Article

A Study of Lianis Model for Elastomeric Bushing in Axial Mode  

Lee, Seong-Beom (School of Mechanical & Automotive Engineering, Inje University)
Publication Information
Elastomers and Composites / v.37, no.3, 2002 , pp. 151-158 More about this Journal
Abstract
An elastomeric bushing which has been considered in this research is a device used in automotive suspension systems to reduce the forte transmitted iron the wheel to the frame of the vehicle. A bushing is modeled at a hollow cylinder which is bonded to a solid metal shaft at its inner surface and a metal sleeve at its outer surface. Lianis constitutive equation for a nonlinear viscoelastic incompressible material is used to model the elastomeric material of the bushing. It is used to derive a force-displacement relation for axial response of the bushing. The displacement dependent force relaxation function for the bushing is obtained from the ramp displacement control tests with an extrapolation method. This is compared with the exact result obtained from the step displacement control test and the results are in very good agreement.
Keywords
elastomeric bushing; Lianis equation; nonlinear viscoelastic incompressible material; displacement dependent force relaxation function;
Citations & Related Records
연도 인용수 순위
  • Reference
1 W. Goldberg and G. Lianis, 'Behavior of Viscoelastic Media Under Small Sinusoidal Oscillations Superposed on Finite Strain,' Purdue University Report AA&ES 67-3, (1967)
2 C. W. McGuirt and G. Lianis, 'The Constant Stretch Rate History, Comparison of Theory with Experimen t,' Purdue University Report AA&ES 67-2, (1967)
3 Ford Durability Center at The University of Michigan Project Review, (1995)
4 G. Lianis, 'Constitutive Equations for Viscoelastic Solids Under Finite Deformation,' Purdue University Report AA&ES 63-11, (1963)
5 C. W. McGuirt and G. Lianis, 'Constitutive Equations for Viscoelastic Solids under Finite Uniaxial and Biaxial Deformations,' Transactions of the Society of Rheology 14:2, 117, (1970)
6 B. D. Coleman and W. Noll, 'Foundations of Linear Viscoelasticity,' Reviews of Modern Physics, 33, 239, (1961)   DOI
7 A. S. Wineman, T. VanDyke, and S. Shi, 'A Nonlinear Viscoelastic Model for One Dimensional Response of Elastomeric Bushings,' International Journal of Mechanical Sciences, (1998)
8 W. Goldberg, B. Bernstein and G. Lianis, 'The Exponential Extension Ratio History, Comparison of Theory with Experiment,' Purdue University Report AA&ES 67-1, (1967)
9 Seong Beom Lee, 'A Study of a nonlinear viscoelastic model of Elastomeric Bushing Response,' Ph. D. Thesis, The University of Michigan, Ann Arbor (1997)