The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface

Abstract The working performance of the discrete functional surface is affected by the surface form. Both the surface form and the geometric function should be considered in tolerance design. However, the tolerance of different parts has different influence on the geometric function and surface form...

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Main Authors: Chuanyuan Zhou, Xiaomei Guo, Xiaoxiao Wei
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-85755-z
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author Chuanyuan Zhou
Xiaomei Guo
Xiaoxiao Wei
author_facet Chuanyuan Zhou
Xiaomei Guo
Xiaoxiao Wei
author_sort Chuanyuan Zhou
collection DOAJ
description Abstract The working performance of the discrete functional surface is affected by the surface form. Both the surface form and the geometric function should be considered in tolerance design. However, the tolerance of different parts has different influence on the geometric function and surface form. This fact makes the tolerance optimization method focusing only on the geometric function requirements unreasonable for the discrete functional surface. In this regard, the tolerance balancing optimization with multiple constraints on the form and function is proposed. The crucial tolerances that significantly affect the surface form and geometric function of the discrete functional surface are extracted, which reduces the number of tolerances to be optimized. The tolerance optimization model with the penalty function considering the multiple constraints on the form and function is established. The tolerance contribution is incorporated into the nonlinear inertial weight particle swarm algorithm. By balancing the influence of tolerance on geometric function and surface form, and the extent of the tolerance optimization, the part tolerances that meet the requirements of geometric function and surface form are solved and the tolerance balancing optimization is achieved.
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institution Kabale University
issn 2045-2322
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spelling doaj-art-3a50bd68013e489481702c61ab71c4ba2025-01-12T12:19:32ZengNature PortfolioScientific Reports2045-23222025-01-0115111410.1038/s41598-025-85755-zThe tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surfaceChuanyuan Zhou0Xiaomei Guo1Xiaoxiao Wei2Zhejiang University of Water Resources and Electric PowerZhejiang University of Water Resources and Electric PowerZhejiang University of Water Resources and Electric PowerAbstract The working performance of the discrete functional surface is affected by the surface form. Both the surface form and the geometric function should be considered in tolerance design. However, the tolerance of different parts has different influence on the geometric function and surface form. This fact makes the tolerance optimization method focusing only on the geometric function requirements unreasonable for the discrete functional surface. In this regard, the tolerance balancing optimization with multiple constraints on the form and function is proposed. The crucial tolerances that significantly affect the surface form and geometric function of the discrete functional surface are extracted, which reduces the number of tolerances to be optimized. The tolerance optimization model with the penalty function considering the multiple constraints on the form and function is established. The tolerance contribution is incorporated into the nonlinear inertial weight particle swarm algorithm. By balancing the influence of tolerance on geometric function and surface form, and the extent of the tolerance optimization, the part tolerances that meet the requirements of geometric function and surface form are solved and the tolerance balancing optimization is achieved.https://doi.org/10.1038/s41598-025-85755-zTolerance optimizationGray relational analysisSensitivity analysisTolerance contributionMultiple constraintsParticle swarm optimization
spellingShingle Chuanyuan Zhou
Xiaomei Guo
Xiaoxiao Wei
The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
Scientific Reports
Tolerance optimization
Gray relational analysis
Sensitivity analysis
Tolerance contribution
Multiple constraints
Particle swarm optimization
title The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
title_full The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
title_fullStr The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
title_full_unstemmed The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
title_short The tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
title_sort tolerance balancing optimization with multiple constraints on the form and function of the discrete functional surface
topic Tolerance optimization
Gray relational analysis
Sensitivity analysis
Tolerance contribution
Multiple constraints
Particle swarm optimization
url https://doi.org/10.1038/s41598-025-85755-z
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