Abstract

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.

Highlights

  • The demand for precision instruments in various industries is increasing

  • The adjustment position method is used to adjust the relative position between parts, such as assembly angle; the repair method is to ensure the assembly accuracy by secondary processing, such as manual grinding, scraping, and filing; the selective assembly refers to the selection of appropriate parts in the key assembly process [1]

  • The average uniformity of all clearances is taken as the optimization objective, and the premise is that a coordinate measuring machine (CMM)

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Summary

Introduction

The assembly accuracy of precision instruments is strict, which is at the level of a micron, or even a nanometer. The assembly accuracy of precision instruments is guaranteed by two aspects: controlling the machining accuracy of parts through tolerance analysis and adjusting the assembly process as per monitoring data. Adjustment of the assembly process is an effective method to ensure the assembly accuracy of precision machinery. Adjustment of the assembly process includes adjustment position, repair method, and selective assembly. The adjustment position method is used to adjust the relative position between parts, such as assembly angle; the repair method is to ensure the assembly accuracy by secondary processing, such as manual grinding, scraping, and filing; the selective assembly refers to the selection of appropriate parts in the key assembly process [1]. According to ASME Y14.5-2009 [3], Entropy 2020, 22, 1211; doi:10.3390/e22111211 www.mdpi.com/journal/entropy

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