Mathematical Model of a CNC Rotary Table Driven by a Worm Gear

Mathematical Model of a CNC Rotary Table Driven by a Worm Gear

Ryuta Sato (Department of Mechanical Engineering, Kobe University, Kobe, Japan)
Copyright: © 2012 |Pages: 14
DOI: 10.4018/ijimr.2012100103
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Abstract

This paper proposes a mathematical model of a CNC rotary table driven by a worm gear. The CNC rotary tables are generally utilized as rotary axes of 5-axis machining centres. In this study, a mathematical model which can simulate dynamic behaviours of rotary table is proposed. The model consists of inertia of motor, spur and worm gears, and table. Axial displacement of the worm is also considered into the model. Various motions are measured and simulated to confirm effectiveness of the model. As the results show, the proposed model can simulate step response, rotational fluctuations, and influence of unbalanced mass.
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Experimental Set-Up

Figure 1 describes the experimental set-up used in this study. The system consists of a rotary table, a servo amplifier, and a personal computer with a DSP board. The rotary table is powered by an AC servo motor, spur gears, and a worm gear. Figure 2 illustrates the driving mechanism of the rotary table. Reduction ratios of the spur gears and the worm gear are 4/5 and 1/72, respectively. Consequently, the total reduction ratio becomes 1/90.

Figure 1.

Experimental set-up

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