Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process

This study aims to develop an accurate dynamic cutting force model in the milling process. In the proposed model, the estimated cutting force tackles the effect of the self-excited vibration that causes machining instability during the cutting process. In particular, the square root of the residual...

Full description

Bibliographic Details
Main Authors: Minh-Quang Tran, Mahmoud Elsisi, Viet Q. Vu, Fahad Albalawi, Sherif S. M. Ghoneim
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/18/3287
_version_ 1827659178772004864
author Minh-Quang Tran
Mahmoud Elsisi
Viet Q. Vu
Fahad Albalawi
Sherif S. M. Ghoneim
author_facet Minh-Quang Tran
Mahmoud Elsisi
Viet Q. Vu
Fahad Albalawi
Sherif S. M. Ghoneim
author_sort Minh-Quang Tran
collection DOAJ
description This study aims to develop an accurate dynamic cutting force model in the milling process. In the proposed model, the estimated cutting force tackles the effect of the self-excited vibration that causes machining instability during the cutting process. In particular, the square root of the residual cutting force between the prediction and the actual cutting force is considered as an objective function for optimizing the cutting force coefficients using the equilibrium optimizer (EO) approach instead of the trial-and-error approach. The results confirm that the proposed model can provide higher prediction accuracy when the EO is applied. In addition, the proposed EO has a minimum integral square error (ISE) of around 1.12, while the genetic algorithm (GA) has an ISE of around 1.14 and the trial-and-error method has an ISE of around 2.4. Moreover, the proposed method can help to investigate the cutting stability and to suspend the chatter phenomenon by selecting an optimal set of cutting parameters.
first_indexed 2024-03-09T23:15:53Z
format Article
id doaj.art-ae4cb5dd711c4d8ea8a0799bef799ace
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-09T23:15:53Z
publishDate 2022-09-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-ae4cb5dd711c4d8ea8a0799bef799ace2023-11-23T17:35:59ZengMDPI AGMathematics2227-73902022-09-011018328710.3390/math10183287Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling ProcessMinh-Quang Tran0Mahmoud Elsisi1Viet Q. Vu2Fahad Albalawi3Sherif S. M. Ghoneim4Department of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 Street, Tich Luong Ward, Thai Nguyen 250000, VietnamDepartment of Electrical Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 807618, TaiwanFaculty of International Training, Thai Nguyen University of Technology, 3/2 Street, Tich Luong Ward, Thai Nguyen 250000, VietnamDepartment of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThis study aims to develop an accurate dynamic cutting force model in the milling process. In the proposed model, the estimated cutting force tackles the effect of the self-excited vibration that causes machining instability during the cutting process. In particular, the square root of the residual cutting force between the prediction and the actual cutting force is considered as an objective function for optimizing the cutting force coefficients using the equilibrium optimizer (EO) approach instead of the trial-and-error approach. The results confirm that the proposed model can provide higher prediction accuracy when the EO is applied. In addition, the proposed EO has a minimum integral square error (ISE) of around 1.12, while the genetic algorithm (GA) has an ISE of around 1.14 and the trial-and-error method has an ISE of around 2.4. Moreover, the proposed method can help to investigate the cutting stability and to suspend the chatter phenomenon by selecting an optimal set of cutting parameters.https://www.mdpi.com/2227-7390/10/18/3287millingdynamic cutting forcecutting force coefficientsequilibrium optimizer
spellingShingle Minh-Quang Tran
Mahmoud Elsisi
Viet Q. Vu
Fahad Albalawi
Sherif S. M. Ghoneim
Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process
Mathematics
milling
dynamic cutting force
cutting force coefficients
equilibrium optimizer
title Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process
title_full Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process
title_fullStr Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process
title_full_unstemmed Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process
title_short Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process
title_sort effective optimization based on equilibrium optimizer for dynamic cutting force coefficients of the end milling process
topic milling
dynamic cutting force
cutting force coefficients
equilibrium optimizer
url https://www.mdpi.com/2227-7390/10/18/3287
work_keys_str_mv AT minhquangtran effectiveoptimizationbasedonequilibriumoptimizerfordynamiccuttingforcecoefficientsoftheendmillingprocess
AT mahmoudelsisi effectiveoptimizationbasedonequilibriumoptimizerfordynamiccuttingforcecoefficientsoftheendmillingprocess
AT vietqvu effectiveoptimizationbasedonequilibriumoptimizerfordynamiccuttingforcecoefficientsoftheendmillingprocess
AT fahadalbalawi effectiveoptimizationbasedonequilibriumoptimizerfordynamiccuttingforcecoefficientsoftheendmillingprocess
AT sherifsmghoneim effectiveoptimizationbasedonequilibriumoptimizerfordynamiccuttingforcecoefficientsoftheendmillingprocess