Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming

Selective assembly is the method of obtaining high precision assemblies from relatively low precision components. For precision instruments, the geometric error on mating surface is an important factor affecting assembly accuracy. Different from the traditional selective assembly method, this paper...

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Main Authors: Mingyi Xing, Qiushuang Zhang, Xin Jin, Zhijing Zhang
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/11/1211
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spelling doaj-99ad59929f4449118584d3d70adbcc532020-11-25T03:58:31ZengMDPI AGEntropy1099-43002020-10-01221211121110.3390/e22111211Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic ProgrammingMingyi Xing0Qiushuang Zhang1Xin Jin2Zhijing Zhang3College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaCollege of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSelective assembly is the method of obtaining high precision assemblies from relatively low precision components. For precision instruments, the geometric error on mating surface is an important factor affecting assembly accuracy. Different from the traditional selective assembly method, this paper proposes an optimization method of selective assembly for shafts and holes based on relative entropy and dynamic programming. In this method, relative entropy is applied to evaluate the clearance uniformity between shafts and holes, and dynamic programming is used to optimize selective assembly of batches of shafts and holes. In this paper, the case studied has 8 shafts and 20 holes, which need to be assembled into 8 products. The results show that optimal combinations are selected, which provide new insights into selective assembly optimization and lay the foundation for selective assembly of multi-batch precision parts.https://www.mdpi.com/1099-4300/22/11/1211selective assemblyoptimizationprecision instrumentrelative entropydynamic programming
collection DOAJ
language English
format Article
sources DOAJ
author Mingyi Xing
Qiushuang Zhang
Xin Jin
Zhijing Zhang
spellingShingle Mingyi Xing
Qiushuang Zhang
Xin Jin
Zhijing Zhang
Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
Entropy
selective assembly
optimization
precision instrument
relative entropy
dynamic programming
author_facet Mingyi Xing
Qiushuang Zhang
Xin Jin
Zhijing Zhang
author_sort Mingyi Xing
title Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
title_short Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
title_full Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
title_fullStr Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
title_full_unstemmed Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
title_sort optimization of selective assembly for shafts and holes based on relative entropy and dynamic programming
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2020-10-01
description Selective assembly is the method of obtaining high precision assemblies from relatively low precision components. For precision instruments, the geometric error on mating surface is an important factor affecting assembly accuracy. Different from the traditional selective assembly method, this paper proposes an optimization method of selective assembly for shafts and holes based on relative entropy and dynamic programming. In this method, relative entropy is applied to evaluate the clearance uniformity between shafts and holes, and dynamic programming is used to optimize selective assembly of batches of shafts and holes. In this paper, the case studied has 8 shafts and 20 holes, which need to be assembled into 8 products. The results show that optimal combinations are selected, which provide new insights into selective assembly optimization and lay the foundation for selective assembly of multi-batch precision parts.
topic selective assembly
optimization
precision instrument
relative entropy
dynamic programming
url https://www.mdpi.com/1099-4300/22/11/1211
work_keys_str_mv AT mingyixing optimizationofselectiveassemblyforshaftsandholesbasedonrelativeentropyanddynamicprogramming
AT qiushuangzhang optimizationofselectiveassemblyforshaftsandholesbasedonrelativeentropyanddynamicprogramming
AT xinjin optimizationofselectiveassemblyforshaftsandholesbasedonrelativeentropyanddynamicprogramming
AT zhijingzhang optimizationofselectiveassemblyforshaftsandholesbasedonrelativeentropyanddynamicprogramming
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