Use of Spatial Velocity in Recursive Dynamic Formulation of a Manipulator Driven by Harmonic Drives*

摘要

The recursive Newton-Euler dynamic formulation is used to derive the equations of motion of a manipulator with harmonic drives. The derivation is general, in that the harmonic drive is viewed as a separate body that forms a kinematically closed chain with two contiguous links, leading to a comprehensive dynamic model. The harmonic drive is modeled as a flexible and rigid gear with a high gear reduction ratio. Under different modeling assumptions, the effects of gear flexibility and dynamic coupling are examined using a seven-degree-of-freedom manipulator.