UNIFIED DYNAMIC MODEL OF CONCENTRIC AND RADIAL ELECTRO-RHEOLOGICAL CLUTCHES INCLUDING HEAT TRANSFER
This paper is an extension of the author's papers from the previous ERMR Conference in Yonezawa, Japan 1997, related only to a cylindrical electro-rheological clutch (ERC) without heat transfer.
Input and output of an ERC (cylindrical or radial) are supposed to be connected with an electrodrive and a loading machine (brake) respectively. Driving moment is described by a nonlinear dynamic moment characteristics and loading moment is assumed to be harmonic in time with adjustable mean value, amplitude and frequency. Also friction moments on input and output shafts are taken into account, consisting of a dry and viscous components. Thus the relative angular velocity between ER clutch rotors is not an input parameter (as it used to be) but it emerges from the dynamic state of all complex system in question. This system is called a thermo-electro-rheological aggregate (TERA), because now (on the contrary to previous papers) also heat transfer in ERC via conduction and convection are taken into account. ER fluid is taken as usually as a Bingham plastic, but a gap in ERC is not necessarily narrow. More detailed list of assumptions is presented.
Not only two types of ERC (cylindrical and radial with unified geometry), but also two arrangements of TERA for each type are considered, when outer rotor of ERC (casing) is connected with an electrodrive and inner rotor with a brake and vice versa.
One starts to build up unified model of ERC from the very general Navier-Stokes equations in cylindrical coordinates applied for ERC. Afterwards nonlinear dimensional dynamic model of TERA is completed with equations of drive and motion. The model is of 7th order in time and contains 44 dimensional input parameters (their list is given).