QUASI-STEADY HERSCHEL-BULKLEY ANALYSIS OF ELECTRO- AND MAGNETO-RHEOLOGICAL FLOW MODE DAMPERS

Electrorheological (ER) and magnetorheological (MR) fluid-based dampers are typically analyzed using Bingham-plastic shear flow analysis under quasi-steady fully developed flow conditions. An alternative perspective, supported by measurements reported in the literature, is to allow for post-yield shear thinning and shear thickening. A Herschel-Bulkley constitutive shear flow relationship is used to account for such post-yield shear thinning or thickening behavior. The objective of this paper is to develop a theoretical method for predicting the force-velocity characteristics of an ER/MR flow mode damper utilizing a Herschel-Bulkley model. Then, analytical damping predictions are compared using the nonlinear Bingham-plastic and nonlinear Herschel-Bulkley analysis models.