2002 · 51 citations · 16 references
EngineeringElectrical EngineeringElectric MachinesPower ElectronicsSystem DynamicsDrive SystemsElectric DrivesElectric Motor Drive SystemsElectric Motor DrivesFriction ModelingSystem IdentificationDrive Parameter IdentificationDrive System DynamicsDrive System ModelingExperimental Study DesignHarmonic Drive DynamicsHysteresis ModelingLeast Squares ApproximationMathematical Representation
Despite widespread industrial application of harmonic drives, mathematical representation of their dynamics has not been fully addressed. In this theoretical/experimental study of harmonic drive systems a systematic way to capture and rationalize the dynamics of the system is proposed. Simple and accurate models for compliance, hysteresis, and friction are given and the model parameters are estimated from experiments using least square approximation. A statistical measure of consistency is defined, by which the reliability of the estimated parameter for different operating condition, as well as the accuracy and integrity of the proposed model is quantified. The validity of the modelling scheme is evaluated on two different harmonic drives by comparing the experimental and simulation results.
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Solid Friction Damping of Mechanical Vibrations
Philip R. Dahl · AIAA Journal · 1976 · 645 citations
Mathematical Models for Hysteresis
Jack W. Macki, Paolo Nistri, Pietro Zecca · SIAM Review · 1993 · 495 citations