Structural optimization design and application of variable helix angle end mill based on improved genetic algorithm

Cutting tools are the teeth of industry, and the cutting performance and manufacturing quality of cutting tools are directly related to the dimensional accuracy, surface smoothness and machining efficiency of the workpiece. In this study, the evolution and optimization ability of the basic genetic a...

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Published inApplied mathematics and nonlinear sciences Vol. 10; no. 1
Main Author Chen, Tao
Format Journal Article
LanguageEnglish
Published Beirut Sciendo 01.01.2025
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects
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ISSN2444-8656
2444-8656
DOI10.2478/amns-2025-0490

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Abstract Cutting tools are the teeth of industry, and the cutting performance and manufacturing quality of cutting tools are directly related to the dimensional accuracy, surface smoothness and machining efficiency of the workpiece. In this study, the evolution and optimization ability of the basic genetic algorithm is improved by using the penalty function and improved tournament selection method, etc., and the best plan for the optimal design of variable helix angle end mill structure is analyzed by combining the objective function and constraints of the structural optimal design of the end mill. An effective meta-analysis model has also been established to perform simulation analysis of the variable helix angle end mill structure. It is found that the optimal scheme proposed in this paper reduces the standard deviation values of the milling force spectral distribution of the end milling cutter in Al7075-T6 material and TC4 material by 17.21% and 19.09%. It was also found that the tool life of the optimized structure variable helix angle end mill was increased by 25.82%-44.56% compared to the original tool life, which achieved good application results. The method proposed in this paper has an important role to play in improving the precision of industrial product machining and manufacturing, and improving the machining efficiency.
AbstractList Cutting tools are the teeth of industry, and the cutting performance and manufacturing quality of cutting tools are directly related to the dimensional accuracy, surface smoothness and machining efficiency of the workpiece. In this study, the evolution and optimization ability of the basic genetic algorithm is improved by using the penalty function and improved tournament selection method, etc., and the best plan for the optimal design of variable helix angle end mill structure is analyzed by combining the objective function and constraints of the structural optimal design of the end mill. An effective meta-analysis model has also been established to perform simulation analysis of the variable helix angle end mill structure. It is found that the optimal scheme proposed in this paper reduces the standard deviation values of the milling force spectral distribution of the end milling cutter in Al7075-T6 material and TC4 material by 17.21% and 19.09%. It was also found that the tool life of the optimized structure variable helix angle end mill was increased by 25.82%-44.56% compared to the original tool life, which achieved good application results. The method proposed in this paper has an important role to play in improving the precision of industrial product machining and manufacturing, and improving the machining efficiency.
Author Chen, Tao
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Cites_doi 10.1007/s40436-022-00417-x
10.1016/j.ijmecsci.2022.107887
10.1016/j.cja.2023.10.001
10.1016/j.rineng.2024.103272
10.1016/j.cja.2018.11.007
10.1016/j.jmapro.2023.10.013
10.1007/s00170-017-1389-4
10.1364/OE.492302
10.1016/j.jmapro.2022.06.016
10.1088/1361-6501/ad519b
10.1016/j.precisioneng.2016.11.004
10.1016/j.procir.2018.08.261
10.1088/1742-6596/1236/1/012051
10.1177/16878132221129746
10.1007/s12206-020-0131-6
10.24425/mper.2019.129566
10.1016/j.ijmecsci.2022.107553
10.1115/1.4047391
10.1007/s00170-022-10766-3
10.1007/978-3-031-43736-6_18
10.1177/0954405420971079
10.1016/j.knosys.2018.02.030
10.1134/S1990478912030039
10.1007/s40436-020-00323-0
10.1016/j.ymssp.2020.106840
10.1016/j.nucengdes.2024.113660
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References 2025041518165636868_j_amns-2025-0490_ref_018
2025041518165636868_j_amns-2025-0490_ref_019
2025041518165636868_j_amns-2025-0490_ref_016
2025041518165636868_j_amns-2025-0490_ref_017
2025041518165636868_j_amns-2025-0490_ref_010
2025041518165636868_j_amns-2025-0490_ref_011
2025041518165636868_j_amns-2025-0490_ref_014
2025041518165636868_j_amns-2025-0490_ref_015
2025041518165636868_j_amns-2025-0490_ref_012
2025041518165636868_j_amns-2025-0490_ref_013
2025041518165636868_j_amns-2025-0490_ref_007
2025041518165636868_j_amns-2025-0490_ref_008
2025041518165636868_j_amns-2025-0490_ref_005
2025041518165636868_j_amns-2025-0490_ref_006
2025041518165636868_j_amns-2025-0490_ref_009
2025041518165636868_j_amns-2025-0490_ref_021
2025041518165636868_j_amns-2025-0490_ref_022
2025041518165636868_j_amns-2025-0490_ref_020
2025041518165636868_j_amns-2025-0490_ref_003
2025041518165636868_j_amns-2025-0490_ref_025
2025041518165636868_j_amns-2025-0490_ref_004
2025041518165636868_j_amns-2025-0490_ref_026
2025041518165636868_j_amns-2025-0490_ref_001
2025041518165636868_j_amns-2025-0490_ref_023
2025041518165636868_j_amns-2025-0490_ref_002
2025041518165636868_j_amns-2025-0490_ref_024
References_xml – ident: 2025041518165636868_j_amns-2025-0490_ref_002
  doi: 10.1007/s40436-022-00417-x
– ident: 2025041518165636868_j_amns-2025-0490_ref_008
  doi: 10.1016/j.ijmecsci.2022.107887
– ident: 2025041518165636868_j_amns-2025-0490_ref_011
  doi: 10.1016/j.cja.2023.10.001
– ident: 2025041518165636868_j_amns-2025-0490_ref_022
  doi: 10.1016/j.rineng.2024.103272
– ident: 2025041518165636868_j_amns-2025-0490_ref_005
  doi: 10.1016/j.cja.2018.11.007
– ident: 2025041518165636868_j_amns-2025-0490_ref_017
  doi: 10.1016/j.jmapro.2023.10.013
– ident: 2025041518165636868_j_amns-2025-0490_ref_014
  doi: 10.1007/s00170-017-1389-4
– ident: 2025041518165636868_j_amns-2025-0490_ref_026
  doi: 10.1364/OE.492302
– ident: 2025041518165636868_j_amns-2025-0490_ref_018
  doi: 10.1016/j.jmapro.2022.06.016
– ident: 2025041518165636868_j_amns-2025-0490_ref_004
  doi: 10.1088/1361-6501/ad519b
– ident: 2025041518165636868_j_amns-2025-0490_ref_013
  doi: 10.1016/j.precisioneng.2016.11.004
– ident: 2025041518165636868_j_amns-2025-0490_ref_021
  doi: 10.1016/j.procir.2018.08.261
– ident: 2025041518165636868_j_amns-2025-0490_ref_007
  doi: 10.1088/1742-6596/1236/1/012051
– ident: 2025041518165636868_j_amns-2025-0490_ref_009
  doi: 10.1177/16878132221129746
– ident: 2025041518165636868_j_amns-2025-0490_ref_016
  doi: 10.1007/s12206-020-0131-6
– ident: 2025041518165636868_j_amns-2025-0490_ref_001
  doi: 10.24425/mper.2019.129566
– ident: 2025041518165636868_j_amns-2025-0490_ref_006
  doi: 10.1016/j.ijmecsci.2022.107553
– ident: 2025041518165636868_j_amns-2025-0490_ref_012
  doi: 10.1115/1.4047391
– ident: 2025041518165636868_j_amns-2025-0490_ref_019
  doi: 10.1007/s00170-022-10766-3
– ident: 2025041518165636868_j_amns-2025-0490_ref_020
  doi: 10.1007/978-3-031-43736-6_18
– ident: 2025041518165636868_j_amns-2025-0490_ref_015
  doi: 10.1177/0954405420971079
– ident: 2025041518165636868_j_amns-2025-0490_ref_023
  doi: 10.1016/j.knosys.2018.02.030
– ident: 2025041518165636868_j_amns-2025-0490_ref_024
  doi: 10.1134/S1990478912030039
– ident: 2025041518165636868_j_amns-2025-0490_ref_003
  doi: 10.1007/s40436-020-00323-0
– ident: 2025041518165636868_j_amns-2025-0490_ref_010
  doi: 10.1016/j.ymssp.2020.106840
– ident: 2025041518165636868_j_amns-2025-0490_ref_025
  doi: 10.1016/j.nucengdes.2024.113660
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Cutting tools
Design optimization
End milling tool
Finite element model
Genetic algorithm
Genetic algorithms
Objective function
Penalty function
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