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Article

An Elementary Approximation of Dwell Time Algorithm for Ultra-Precision Computer-Controlled Optical Surfacing

by 1,2, 2,*, 1 and 2
1
School of Mechanical Engineering, Dalian University of Technology, Dalian 116023, China
2
Institute of Machinery Manufacturing Technology, China Academy of Engineering Physics, Mianyang 621900, China
*
Author to whom correspondence should be addressed.
Academic Editor: Xichun Luo
Micromachines 2021, 12(5), 471; https://doi.org/10.3390/mi12050471
Received: 23 March 2021 / Revised: 13 April 2021 / Accepted: 16 April 2021 / Published: 21 April 2021
(This article belongs to the Special Issue Frontiers in Ultra-Precision Machining)
The dwell time algorithm is one of the key technologies that determines the accuracy of a workpiece in the field of ultra-precision computer-controlled optical surfacing. Existing algorithms mainly consider meticulous mathematics theory and high convergence rates, making the computation process more uneven, and the flatness cannot be further improved. In this paper, a reasonable elementary approximation algorithm of dwell time is proposed on the basis of the theoretical requirement of a removal function in the subaperture polishing and single-peak rotational symmetry character of its practical distribution. Then, the algorithm is well discussed with theoretical analysis and numerical simulation in cases of one-dimension and two-dimensions. In contrast to conventional dwell time algorithms, this proposed algorithm transforms superposition and coupling features of the deconvolution problem into an elementary approximation issue of function value. Compared with the conventional methods, it has obvious advantages for improving calculation efficiency and flatness, and is of great significance for the efficient computation of large-aperture optical polishing. The flatness of φ150 mm and φ100 mm workpieces have achieved PVr150 = 0.028 λ and PVcr100 = 0.014 λ respectively. View Full-Text
Keywords: ultra-precision machining; computer-controlled optical surfacing; dwell time algorithm; removal function; elementary approximation ultra-precision machining; computer-controlled optical surfacing; dwell time algorithm; removal function; elementary approximation
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MDPI and ACS Style

Wang, Y.; Zhang, Y.; Kang, R.; Ji, F. An Elementary Approximation of Dwell Time Algorithm for Ultra-Precision Computer-Controlled Optical Surfacing. Micromachines 2021, 12, 471. https://doi.org/10.3390/mi12050471

AMA Style

Wang Y, Zhang Y, Kang R, Ji F. An Elementary Approximation of Dwell Time Algorithm for Ultra-Precision Computer-Controlled Optical Surfacing. Micromachines. 2021; 12(5):471. https://doi.org/10.3390/mi12050471

Chicago/Turabian Style

Wang, Yajun, Yunfei Zhang, Renke Kang, and Fang Ji. 2021. "An Elementary Approximation of Dwell Time Algorithm for Ultra-Precision Computer-Controlled Optical Surfacing" Micromachines 12, no. 5: 471. https://doi.org/10.3390/mi12050471

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