MODELLING AND ANALYSIS OF NONLINEAR STIFFNESS, HYSTERESIS AND FRICTION IN HARMONIC DRIVE GEARS

R. Dhaouadi∗ and F.H. Ghorbel∗∗

Keywords

Harmonic drive gear, hysteresis, nonlinear stiffness, nonlinear ordi- nary differential equation

Abstract

In this paper, a mathematical model and its parameter identifi- cation scheme are proposed for harmonic drive gears with com- pliance and hysteresis. The hysteresis phenomenon in harmonic drives is described by a nonlinear differential equation representing the torque-displacement relationship across the flexspline of the harmonic drive. The representation is equivalent to having the combination of nonlinear stiffness and nonlinear viscous damping. Numerical simulations along with experimental data have been used to validate the proposed modelling concept.

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