Research Papers

A New Aspheric Surfaces Polishing by Parallel Orthogonality Movement/Force Servomechanism

[+] Author and Article Information
Jianming Zhan1

Sihai Yu

Faculty of Mechanical Engineering and Mechanics,  Ningbo University, Ningbo, 315211 Chinayusihai@mail.nbu.edu.cn


Corresponding author.

J. Manuf. Sci. Eng 133(3), 031011 (Jun 10, 2011) (5 pages) doi:10.1115/1.4004140 History: Received August 23, 2010; Revised March 29, 2011; Published June 10, 2011; Online June 10, 2011

According to the all-pervading theory, the best strategy for multiaxis compliant control system is the famous hybrid movement/force control. Until now, the typical way to get it inclines to integrate force control with movement control into one numerical control (NC) interpolator. The more axes being taken for the interpolator, the lower calculating and computerizing speed and the greater errors are. Furthermore, the errors of movement control, including the position errors and pose errors, would inevitably disturb the processing of force control for their coupling relationship. In this paper, the orthogonal movement/force servo strategy is brought forward based on the orthogonality relation of force control and movement control. Combining with the processing of aspheric surfaces polishing, the paper develops a new three-axis computer numerical control (CNC) compliant polishing method and system by the hybrid orthogonal movement/force servomechanism, in which the force controlling and movement controlling are taken in its orthogonal complement space, respectively. Experiments show that this new polishing system is of great robustness for the change of slope and curvature of the aspheric surfaces and it can polish aspheric surfaces to get ultrasmooth surfaces at nanoscale.

Copyright © 2011 by American Society of Mechanical Engineers
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Figure 1

Compliant polishing system for aspheric surfaces; 1, turning attachment; 2, work-piece of aspheric surfaces; 3, polishing tool; 4, shaft of polishing tool; 5, tool post; 6, stepper motor; 7, torque transfer device; 8, synchronous belt; 9, revolution turnplate

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Figure 2

Geometry for feed movement controlling

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Figure 3

Curves of aspheric surface and path of feed movement; 1, stepper motor; 2 and 4, pulleys; 3, strap; 5, input shaft; 6 and 11, bearings; 7, bottom pad; 8, spring-fixing device; 9, spring(s); 10, top pad; 12, output shaft

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Figure 4

Structure of the torque servo system

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Figure 5

Springs fixed on pads

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Figure 6

Nonlinear relationship between Mr and α

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Figure 7

Close-loop controlling diagram of output torque

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Figure 8

Responding curve of Mr to a spring input

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Figure 9

Polishing force surveyed with tools of wool pad and of gasbag

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Figure 10

Photos of the two work-pieces after being polished; (a) a hemispheric surface polished; (b) an aspheric surface polished




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