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Optimal tolerance design considering combined quality loss

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Abstract

Tolerances have significant impact on the life cycle of products. In order to fully reflect the influence of tolerances, the suitable tolerance optimization model should be researched. In this study, both manufacturing costs and combined quality loss costs are considered in the tolerance optimization model. Based on the reciprocal exponential function, the relationship between manufacturing cost and tolerance is established. In order to calculate quality loss accurately, the combined quality loss function is proposed in this study, in which linear quality loss and quadratic quality loss are considered simultaneously. Based on the manufacturing cost function and the combined quality loss function, the tolerance optimization model is proposed, in which both assembly tolerance constraint and process accuracy constraint are considered. In order to obtain the optimal tolerances accurately, both unconstrained optimization model and constrained optimization model are studied. Based on the Lagrange multiplier method, closed-form solutions for optimal tolerances are derived. In the method proposed in this research, the combined quality loss function is established, and the optimal tolerance is obtained accurately. Finally, an example is used to demonstrate the effectiveness of the method proposed in this study. The example shows that both linear quality loss and quadratic quality loss have important influence on the the calculating results. Therefore, it is necessary to establish the combined quality loss function.

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Authors and Affiliations

  1. Department of Industrial Engineering, College of Economics and Management, Tianjin University of Science and Technology, Tianjin, 300457, China

    Qiu Jin & Qingyan Wang

  2. College of Mechanical Engineering, Tianjin University of Science and Technology, Tianjin, 300222, China

    Shaogang Liu

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  1. Qiu Jin
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  2. Qingyan Wang
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Jin, Q., Wang, Q. & Liu, S. Optimal tolerance design considering combined quality loss. Int J Interact Des Manuf (2024). https://doi.org/10.1007/s12008-024-01894-z

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