4.7 Article

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

Journal

MATHEMATICS
Volume 10, Issue 18, Pages -

Publisher

MDPI
DOI: 10.3390/math10183287

Keywords

milling; dynamic cutting force; cutting force coefficients; equilibrium optimizer

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Funding

  1. Taif University, Taif, Saudi Arabia [TURSP2020/97]
  2. Ministry of Science and Technology (MOST) of Taiwan [MOST 110-2222-E-011-002, MOST 110-2222-E-011-013-]

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This study aims to develop an accurate dynamic cutting force model for milling process and address the issue of machining instability. By using the equilibrium optimizer approach, the model achieves higher prediction accuracy. Furthermore, it can help investigate cutting stability and prevent chatter phenomenon by selecting optimal cutting parameters.
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.

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