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Journal of Intelligent Material Systems and Structures
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Quasi-Steady Bingham Biplastic Analysis of Electrorheological and Magnetorheological Dampers

Glen A. Dimock

Smart Structures Laboratory, Department of Aerospace Engineering, University of Maryland, College Park MD 20742, USA

Jin-Hyeong Yoo

Smart Structures Laboratory, Department of Aerospace Engineering, University of Maryland, College Park MD 20742, USA

Norman M. Wereley

Smart Structures Laboratory, Department of Aerospace Engineering, University of Maryland, College Park MD 20742, USA

Electrorheological (ER)and magnetorheological (MR)fluids are characterized by an increase in dynamic yield stress upon application of a magnetic field. The Bingham plastic model has proven useful in modeling flow mode dampers utilizing ER and MR fluids. However, certain MR fluids can exhibit shear thinning behavior, wherein the fluid’s apparent plastic viscosity decreases at high shear rates. The Bingham plastic model does not account for such behavior, resulting in overprediction of equivalent viscous damping. We present a Bingham biplastic model that can account for both shear thinning and shear thickening behaviors. This approach assumes a bilinear post yield viscosity, with a critical shear rate specifying the region of high shear rate flow. Furthermore, the model introduces non-dimensional terms to account for the additional parameters associated with shear thinning and thickening. A comparison is made between Bingham plastic and Bingham biplastic force responses to constant velocity input, and equivalent viscous damping is examined with respect to nondimensional parameters.

Key Words: electrorheological fluid • magnetorheological fluid • Bingham plastic • Bingham biplastic • dampers • shear thinning • shear thickening

Journal of Intelligent Material Systems and Structures, Vol. 13, No. 9, 549-559 (2002)
DOI: 10.1106/104538902030906


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