Tool path optimisation for flank milling ruled surface based on the distance function.

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Title: Tool path optimisation for flank milling ruled surface based on the distance function.
Authors: Zhang, Xiao-Ming1 (AUTHOR), Zhu, Li-Min1 (AUTHOR) cheungxm@gmail.com, Zheng, Gang1 (AUTHOR), Ding, Han1 (AUTHOR)
Source: International Journal of Production Research. Jul2010, Vol. 48 Issue 14, p4233-4251. 19p. 8 Diagrams, 4 Charts, 9 Graphs.
Subjects: Manufacturing processes, Milling machinery, Advanced planning & optimization, Supply chains, Industrial efficiency, Machine tools, Equipment & supplies
Abstract: This paper deals with optimised tool path generation for five-axis flank milling using signed point-to-surface distance function. The main idea is that the geometrical deviations between the design surface and the machined surface are minimised by fine tuning the cutter locations. Based on the tangency conditions in envelope theory, the analytic representation of the envelope surface of a cutter undergoing five-axis motion is first obtained. Then the geometrical deviations between the envelope surface (i.e. machined surface) and the design surface are calculated. Optimisation of the five-axis tool path is modeled as the fine tuning of the initial cutter locations under the minimum zone criterion recommended by ANSI and ISO, which requires minimisation of the maximum geometrical deviation between the design surface and the envelope surface. Using the signed point-to-surface distance function, tool path optimisation for finish milling is formulated as a constrained optimisation problem. Based on the first-order Taylor approximation of the signed distance function, two sequential approximation algorithms for the Minimax and Least Square optimisations are developed. Numerical examples, in which a conical tool is chosen as a special case of flank machining ruled surface, verify the proposed strategy. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Tool path optimisation for flank milling ruled surface based on the distance function.
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Xiao-Ming%22">Zhang, Xiao-Ming</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhu%2C+Li-Min%22">Zhu, Li-Min</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cheungxm@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Zheng%2C+Gang%22">Zheng, Gang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ding%2C+Han%22">Ding, Han</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. Jul2010, Vol. 48 Issue 14, p4233-4251. 19p. 8 Diagrams, 4 Charts, 9 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Manufacturing+processes%22">Manufacturing processes</searchLink><br /><searchLink fieldCode="DE" term="%22Milling+machinery%22">Milling machinery</searchLink><br /><searchLink fieldCode="DE" term="%22Advanced+planning+%26+optimization%22">Advanced planning & optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Supply+chains%22">Supply chains</searchLink><br /><searchLink fieldCode="DE" term="%22Industrial+efficiency%22">Industrial efficiency</searchLink><br /><searchLink fieldCode="DE" term="%22Machine+tools%22">Machine tools</searchLink><br /><searchLink fieldCode="DE" term="%22Equipment+%26+supplies%22">Equipment & supplies</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper deals with optimised tool path generation for five-axis flank milling using signed point-to-surface distance function. The main idea is that the geometrical deviations between the design surface and the machined surface are minimised by fine tuning the cutter locations. Based on the tangency conditions in envelope theory, the analytic representation of the envelope surface of a cutter undergoing five-axis motion is first obtained. Then the geometrical deviations between the envelope surface (i.e. machined surface) and the design surface are calculated. Optimisation of the five-axis tool path is modeled as the fine tuning of the initial cutter locations under the minimum zone criterion recommended by ANSI and ISO, which requires minimisation of the maximum geometrical deviation between the design surface and the envelope surface. Using the signed point-to-surface distance function, tool path optimisation for finish milling is formulated as a constrained optimisation problem. Based on the first-order Taylor approximation of the signed distance function, two sequential approximation algorithms for the Minimax and Least Square optimisations are developed. Numerical examples, in which a conical tool is chosen as a special case of flank machining ruled surface, verify the proposed strategy. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/00207540902993019
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      – Code: eng
        Text: English
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        PageCount: 19
        StartPage: 4233
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      – SubjectFull: Manufacturing processes
        Type: general
      – SubjectFull: Milling machinery
        Type: general
      – SubjectFull: Advanced planning & optimization
        Type: general
      – SubjectFull: Supply chains
        Type: general
      – SubjectFull: Industrial efficiency
        Type: general
      – SubjectFull: Machine tools
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      – SubjectFull: Equipment & supplies
        Type: general
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      – TitleFull: Tool path optimisation for flank milling ruled surface based on the distance function.
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            NameFull: Zhang, Xiao-Ming
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            NameFull: Zhu, Li-Min
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            NameFull: Zheng, Gang
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              M: 07
              Text: Jul2010
              Type: published
              Y: 2010
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