Mathematical Model of Feed Drive Systems Consisting of AC Servo Motor and Linear Ball Guide

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  • ACサーボモータと直動転がり案内を用いた送り駆動系の数学モデル
  • AC サーボモータ ト チョクドウ コロガリ アンナイ オ モチイタ オクリ クドウケイ ノ スウガク モデル

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Abstract

This paper proposes a mathematical model of a feed drive system which consists of an AC servo motor and linear ball guides. Structural and viscous damping of the mechanical system, Coulomb friction of the bearings and torque saturation characteristics of the motor are introduced into the mathematical model. Identification method of the parameters for the proposed model is also discussed. Various responses such as frequency response, step response, circular motion and corner tracking motion were simulated by the proposed model. Experimental works were also carried out in order to compare with the simulation results. It was found that the actual motor torque curves of the feed drive system were well expressed by the simulation model, and the shape and height of quadrant glitches of the circular trajectory were simulated accurately. In addition, the relationship between the centripetal acceleration of circular motion and the heights of quadrant glitch were investigated.

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