Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming

The sintering mold imposes strict requirements for temperature uniformity. The mold geometric parameters and the power configuration of heating elements exert substantial influence. In this paper, we introduce an optimization approach that combines response surface models with the sequential quadrat...

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出版年:Heliyon
主要な著者: Sanli Liu, Min Chen, Nan Zhu, Zhouyi Xiang, Songhua Huang, Shunqi Zhang
フォーマット: 論文
言語:英語
出版事項: Elsevier 2024-04-01
主題:
オンライン・アクセス:http://www.sciencedirect.com/science/article/pii/S2405844024054070
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author Sanli Liu
Min Chen
Nan Zhu
Zhouyi Xiang
Songhua Huang
Shunqi Zhang
author_facet Sanli Liu
Min Chen
Nan Zhu
Zhouyi Xiang
Songhua Huang
Shunqi Zhang
author_sort Sanli Liu
collection DOAJ
container_title Heliyon
description The sintering mold imposes strict requirements for temperature uniformity. The mold geometric parameters and the power configuration of heating elements exert substantial influence. In this paper, we introduce an optimization approach that combines response surface models with the sequential quadratic programming algorithm to optimize the geometric parameters and heating power configuration of a heating system for sintering mold. The response surface models of the maximum temperature difference, maximum temperature, and minimum temperature of the sintering area are constructed utilizing the central composite design method. The model's reliability is rigorously confirmed through variance analysis, residual analysis, and generalization capability validation. The models demonstrate remarkable predictive accuracy within the design space. A nonlinear constrained optimization model is established based on the response surface models, and the optimal parameters are obtained after 9 iterations using the sequential quadratic programming algorithm. Under the optimal parameters, the maximum temperature difference is maintained at less than 5 °C, confirming exceptional temperature uniformity. We conduct parameter analysis based on standardized effects to determine the main influencing factors of temperature uniformity, revealing that the distance between adjacent heating rods and the power density of the inner heating rods exert significant influence. Enhanced temperature uniformity can be achieved by adopting a larger distance between heating rods and configuring the power density of the heating rods to a relatively modest level. This work introduces a practical approach to optimize the heating systems for sintering molds, with potential applications in various industrial mold optimization.
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spelling doaj-art-59a2f6dfe53d4e5d96b825c3ba0ceebb2025-08-20T00:29:47ZengElsevierHeliyon2405-84402024-04-01108e2937610.1016/j.heliyon.2024.e29376Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programmingSanli Liu0Min Chen1Nan Zhu2Zhouyi Xiang3Songhua Huang4Shunqi Zhang5School of Advanced Technology, Xi'an Jiaotong-Liverpool University, Suzhou, ChinaSchool of Advanced Technology, Xi'an Jiaotong-Liverpool University, Suzhou, China; Corresponding author.ZINSIGHT Technology (Shanghai) Co., Ltd, Shanghai, ChinaSchool of Advanced Technology, Xi'an Jiaotong-Liverpool University, Suzhou, ChinaSchool of Advanced Technology, Xi'an Jiaotong-Liverpool University, Suzhou, ChinaSchool of Mechatronic Engineering and Automation, Shanghai University, Shanghai, ChinaThe sintering mold imposes strict requirements for temperature uniformity. The mold geometric parameters and the power configuration of heating elements exert substantial influence. In this paper, we introduce an optimization approach that combines response surface models with the sequential quadratic programming algorithm to optimize the geometric parameters and heating power configuration of a heating system for sintering mold. The response surface models of the maximum temperature difference, maximum temperature, and minimum temperature of the sintering area are constructed utilizing the central composite design method. The model's reliability is rigorously confirmed through variance analysis, residual analysis, and generalization capability validation. The models demonstrate remarkable predictive accuracy within the design space. A nonlinear constrained optimization model is established based on the response surface models, and the optimal parameters are obtained after 9 iterations using the sequential quadratic programming algorithm. Under the optimal parameters, the maximum temperature difference is maintained at less than 5 °C, confirming exceptional temperature uniformity. We conduct parameter analysis based on standardized effects to determine the main influencing factors of temperature uniformity, revealing that the distance between adjacent heating rods and the power density of the inner heating rods exert significant influence. Enhanced temperature uniformity can be achieved by adopting a larger distance between heating rods and configuring the power density of the heating rods to a relatively modest level. This work introduces a practical approach to optimize the heating systems for sintering molds, with potential applications in various industrial mold optimization.http://www.sciencedirect.com/science/article/pii/S2405844024054070Temperature uniformitySintering moldResponse surface methodologySequential quadratic programmingOptimal design
spellingShingle Sanli Liu
Min Chen
Nan Zhu
Zhouyi Xiang
Songhua Huang
Shunqi Zhang
Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming
Temperature uniformity
Sintering mold
Response surface methodology
Sequential quadratic programming
Optimal design
title Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming
title_full Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming
title_fullStr Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming
title_full_unstemmed Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming
title_short Optimizing heat source distribution in sintering molds: Integrating response surface model with sequential quadratic programming
title_sort optimizing heat source distribution in sintering molds integrating response surface model with sequential quadratic programming
topic Temperature uniformity
Sintering mold
Response surface methodology
Sequential quadratic programming
Optimal design
url http://www.sciencedirect.com/science/article/pii/S2405844024054070
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