Abstract
The dynamics of a worm-gear set under instantly applied rotating angle are affected by several factors (including the friction force and elastic deformation of the surface between gear teeth). It is found that those factors cause a non-negligible rotational positioning error. The goals of this study are to (1) set up a mathematic model, (2) carry out a numerical simulation, and (3) carry out an experiment and compare it with the numerical results. The experiments and numerical results have very good agreement. In this research, the moment-inertia of fly wheel, friction, rigidity of shaft and rigidity of gear tooth are also studied. The results can be used as error estimations of relevant angles, angular speed and angular acceleration under a suddenly applied rotational angle, and are useful for establishing the error compensation required for position control.
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