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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
Copyright: © 2012 |Volume: 2 |Issue: 4 |Pages: 14
ISSN: 2156-1664|EISSN: 2156-1656|EISBN13: 9781466613065|DOI: 10.4018/ijimr.2012100103
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MLA

Sato, Ryuta. "Mathematical Model of a CNC Rotary Table Driven by a Worm Gear." IJIMR vol.2, no.4 2012: pp.27-40. http://doi.org/10.4018/ijimr.2012100103

APA

Sato, R. (2012). Mathematical Model of a CNC Rotary Table Driven by a Worm Gear. International Journal of Intelligent Mechatronics and Robotics (IJIMR), 2(4), 27-40. http://doi.org/10.4018/ijimr.2012100103

Chicago

Sato, Ryuta. "Mathematical Model of a CNC Rotary Table Driven by a Worm Gear," International Journal of Intelligent Mechatronics and Robotics (IJIMR) 2, no.4: 27-40. http://doi.org/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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