Abstract
Closed curved and twisted channels are widely used in key parts of aerospace vehicles; however, they are difficult to process. Electrical discharge machining is a common method for machining curved and twisted channels of integral components. The electrode trajectory determines the machining quality and efficiency. We adopted a target evaluation function to distinguish between the local and global optima for an integral component with a long and narrow two-dimensional curved and twisted channel. In addition, we combined heuristic search and rapidly exploring random tree search to design and optimize the machining trajectory of the electrode. Finally, we conducted a comparative experiment between a preliminary design scheme and the proposed optimization method. The test results show that the machining efficiency and accuracy of the proposed method are higher than those of the preliminary design scheme. Furthermore, the machining trajectory generated by the proposed method satisfies the comprehensive requirements to produce two-dimensional curved and twisted channels.
Similar content being viewed by others
References
Zhan HJ, Zhao WS, Wang G (2000) Manufacturing turbine blisks. Aircr Eng Aerosp Technol 72:247–252. https://doi.org/10.1108/00022660010332032
Hou ZX, Zhao XB, Yun H, Huang L, Wang JH, Su JH (2019) Electrode design and path optimization of five-axis numerical control EDM machining for integral turbine blade. Modul Mach Tool Auto Manuf Tech 10:128–131 (In Chinese)
Zhou XJ, Zhao JS, Chu HS, Chen Y (2016) Research on high efficiency EDM process of integral bling with group electrode. China Mech Eng 027:2453–2457 (In Chinese)
Yun M, Gong YY, Yu Y, Wang XC (2002) Dynamic programming on electrode of six-axis synchronal EDM. J Astronaut 23:55–59
Kang X, Yang Y, Tao X, Zhao W (2018) Integral shrouded blisk EDM pre-rough machining by using simplified electrode. Procedia CIRP 68:411–414. https://doi.org/10.1016/j.procir.2017.12.104
Yang DC, Kong T (1994) Parametric interpolator versus linear interpolator for precision CNC machining. Comput Aided Des 26:225–234. https://doi.org/10.1016/0010-4485(94)90045-0
Yeh SS, Hsu PL (1999) The speed-controlled interpolator for machining parametric curves. Comput Aided Des 31:349–357. https://doi.org/10.1016/S0010-4485(99)00035-4
Zhao JS, Tang LJ, Yu ZX, Zhou XJ (2013) EDM electrode design based on path searching for closed 3D-flow channel. J Nanjing Univ Aeronaut Astronaut 45:824–829 (In Chinese)
Yang DY, Cao FG, Liu JY, Yang LG, Zhang K, Zhu YF (2013) Overview on five-axis precision EDM techniques. Procedia CIRP 6:192–198. https://doi.org/10.1016/j.procir.2013.03.106
Edelkamp S, Schroedl S (2012) Heuristic search: Theory and applications. Elsevier, Amsterdam, pp 1362–1367
Li G, Zhao WS, Wang ZL, Wu X (2007) A special CAD/CAM software for electro-discharge machining of shrouded turbine blisks. J Shanghai Univ 11:74–78. https://doi.org/10.1007/s11741-007-0113-2
Liu X, Kang X, Zhao W, Liang W (2013) Electrode feeding path searching for 5-axis EDM of integral shrouded blisks. Procedia CIRP 6:107–111. https://doi.org/10.1016/j.procir.2013.03.041
Liang W (2017) Research on efficiency improving technology in EDM process of integral shrouded blisk [D]. Dissertation, Shanghai Jiao Tong University, Shanghai, pp 11–14 (in Chinese)
Latorre V, Gao DY (2016) Global optimal trajectory in chaos and NP-hardness. Int J Bifurcat Chaos 26:1650142. https://doi.org/10.1142/S021812741650142X
Duarte FB, Machado JT (2002) Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators. Nonlinear Dyn 29:315–342. https://doi.org/10.1023/A:1016559314798
Berger J, Lo N, Boukhtouta A, Noel M (2015) An information theoretic based integer linear programming approach for the discrete search path planning problem. Optim Lett 9:1585–1607. https://doi.org/10.1007/s11590-015-0874-7
Ayesta I, Izquierdo B, Sanchez JA, Ramos JM, Plaza S, Pombo I, Ortega N (2016) Optimum electrode path generation for EDM manufacturing of aerospace components. Robot Comput Integr Manuf 37:273–281. https://doi.org/10.1016/j.rcim.2015.04.003
Otani T, Koshino M (2009) Applying a path planner based on RRT to cooperative multirobot box-pushing. Artif Life Robot 13:418–422. https://doi.org/10.1007/s10015-008-0592-7
Liu LQ, Han JY, Dai YQ, Huo JY (2015) Comparative study on optimization performance of fruit fly optimization algorithm. Comput Technol Dev 25:94–98 (In Chinese)
Tang L, Ren L, Zhu QL (2018) EDM multi-pulse temperature field simulation of SiC/Al functionally graded materials. Int J Adv Manuf Technol 97:2501–2508. https://doi.org/10.1007/s00170-018-2136-1
El-Taweel TA (2009) Multi-response optimization of EDM with Al–Cu–Si–TiC P/M composite electrode. Int J Adv Manuf Technol 44:100–113. https://doi.org/10.1007/s00170-008-1825-6
Availability of data and material
Not applicable.
Funding
The authors acknowledge the financial support provided by the combined EDM Laboratory of Nanjing University of Aeronautics and Astronautics.
Author information
Authors and Affiliations
Contributions
Yicong Qiu contributed significantly to analysis, performed the data analyses, and wrote the manuscript.
Jianshe Zhao contributed to the conception of the study.
Jianning Chen performed the experiment.
Yiyu Wang and Minkai Gu helped perform the analysis with constructive discussions.
Corresponding author
Ethics declarations
Code availability
After the paper is published, part of the source code will be published on GitHub.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Qiu, Y., Zhao, J., Chen, J. et al. Electrode trajectory optimization for electrical discharge machining of two-dimensional curved and twisted channels. Int J Adv Manuf Technol 112, 1931–1940 (2021). https://doi.org/10.1007/s00170-020-06362-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-020-06362-y