Flank milling is one of the most important technologies for machining of complex surfaces. A small change of the tool orientation in the part coordinate system (PCS) may produce a great rotation of the rotary axes of the machine tool. Therefore, this paper proposes a tool path optimization model for flank milling in the machine coordinate system (MCS). The tool path is computed to smooth the variation of the rotary axes while controlling the geometric deviation. The geometric deviation is measured by the signed distance between the design surface and the tool envelope surface in the PCS. The geometric accuracy is not an objective but a constraint in the proposed optimization model. Given a prescribed geometric tolerance, the tool path smoothness optimization model is reformulated as a constrained nonlinear programming problem. The constrained differential evolution with gradient-based mutation (DEg) is adopted to solve this constrained problem. The validity of the proposed approach is confirmed by numerical examples.
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August 2016
Research-Article
Smooth Tool Path Optimization for Flank Milling Based on the Gradient-Based Differential Evolution Method
YaoAn Lu,
YaoAn Lu
State Key Laboratory of Mechanical
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: luyaoan028@163.com
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: luyaoan028@163.com
Search for other works by this author on:
Ye Ding,
Ye Ding
State Key Laboratory of Mechanical
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: y.ding@sjtu.edu.cn
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: y.ding@sjtu.edu.cn
Search for other works by this author on:
LiMin Zhu
LiMin Zhu
State Key Laboratory of Mechanical
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: zhulm@sjtu.edu.cn
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: zhulm@sjtu.edu.cn
Search for other works by this author on:
YaoAn Lu
State Key Laboratory of Mechanical
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: luyaoan028@163.com
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: luyaoan028@163.com
Ye Ding
State Key Laboratory of Mechanical
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: y.ding@sjtu.edu.cn
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: y.ding@sjtu.edu.cn
LiMin Zhu
State Key Laboratory of Mechanical
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: zhulm@sjtu.edu.cn
System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: zhulm@sjtu.edu.cn
1Corresponding author.
Manuscript received August 10, 2015; final manuscript received March 3, 2016; published online April 7, 2016. Assoc. Editor: Laine Mears.
J. Manuf. Sci. Eng. Aug 2016, 138(8): 081009 (11 pages)
Published Online: April 7, 2016
Article history
Received:
August 10, 2015
Revised:
March 3, 2016
Citation
Lu, Y., Ding, Y., and Zhu, L. (April 7, 2016). "Smooth Tool Path Optimization for Flank Milling Based on the Gradient-Based Differential Evolution Method." ASME. J. Manuf. Sci. Eng. August 2016; 138(8): 081009. https://doi.org/10.1115/1.4032969
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