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Abstract

In large optical mirror processing (LOMP), the robot is required to carry a computer-controlled optical surfacing (CCOS) polishing tool capable of both fully covering the required material removal profile and maintaining sufficient redundancy for process adaptability. The designed LOMP robot is a five-degree-of-freedom (5-DOF) hybrid robot, where the workspace of its parallel mechanism is constrained by dimensional parameters, including the moving platform radius, the fixed/moving platform radius ratio, and link lengths. This paper presents an optimization study of dimensional parameters for robotic systems, aimed at meeting the workspace requirements of 1250 mm-diameter large optical mirrors. First, analytical models of the robot’s effective workspace and driving torque under different dimensional parameters are derived. Subsequently, workspace requirements and driving torque are established as optimization constraints, and a differential evolution algorithm is implemented to determine the optimal dimensional parameters for the LOMP system. To improve computational efficiency, the conventional differential evolution algorithm is enhanced through the integration of adaptive mutation and crossover operators, resulting in a modified adaptive differential evolution algorithm (ADEA) that demonstrates accelerated convergence characteristics while maintaining solution accuracy. Finally, MATLAB simulations demonstrate that the proposed ADEA successfully obtains optimal dimensional parameter combinations while satisfying all specified constraints. Based on the optimal dimensional parameters, an engineering prototype was manufactured. Experimental results verified the accuracy of the optimized design, providing a valuable reference for optimization of dimensional and structural parameters in similar engineering equipment.

Details

1009240
Business indexing term
Title
Optimal Scaling Parameter Analysis for Optical Mirror Processing Robots via Adaptive Differential Evolution Algorithm
Author
Jin Zujin 1 ; Yin Zixin 2 ; Liu, Hao 1 ; Guo Huanyin 3 

 School of Mechanical and Electronic Engineering, Suzhou University, Suzhou 234000, China; [email protected] (Z.J.); [email protected] (H.L.) 
 School of Mechanical and Electronic Engineering, Suzhou University, Suzhou 234000, China; [email protected] (Z.J.); [email protected] (H.L.), Suzhou University Technology and Research Center of Engineering Tribology, Suzhou University, Suzhou 234000, China 
 School of Information Engineering, Suzhou Vocational College of Civil Aviation, Suzhou 234000, China; [email protected] 
Publication title
Machines; Basel
Volume
13
Issue
9
First page
853
Number of pages
19
Publication year
2025
Publication date
2025
Publisher
MDPI AG
Place of publication
Basel
Country of publication
Switzerland
e-ISSN
20751702
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2025-09-15
Milestone dates
2025-08-17 (Received); 2025-09-12 (Accepted)
Publication history
 
 
   First posting date
15 Sep 2025
ProQuest document ID
3254578397
Document URL
https://www.proquest.com/scholarly-journals/optimal-scaling-parameter-analysis-optical-mirror/docview/3254578397/se-2?accountid=208611
Copyright
© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2025-09-26
Database
ProQuest One Academic