Abstract
NURBS curve is applied to model and machine of integral impeller to get better smooth streamline in this work. In order to get high precision surface modeling of impeller, complex surface modeling method for impeller is studied through inputting NURBS curves and surfaces obtained by MATLAB into CAXA Manufacturing Engineer, which solves the problem that cannot be designed NURBS curve and surface directly in the CAD software. Grooving and expanding groove tool paths are obtained according to the NURBS curve of top curve and root curve, and its interpolation step size and the row spacing are determined according to the curvature of the curve and interpolation period. Meanwhile, five-axis side milling method is used to achieve the vane finish machining, and streamline processing method is adopted to realize the finish machining of the channel. All work is verified in a virtual simulation system of 5MC850-C machining center, and these simulation results show that machining accuracy error of the impeller is between − 0.007 and 0.012 mm, meeting tolerance range of the impeller design.
Similar content being viewed by others
References
Zhang Y, Chen ZT, Zhu ZQ (2020) Adaptive machining framework for the leading/trailing edge of near-net-shape integrated impeller. Int J Adv Manuf Technol 107:4221–4229
Young HT, Chuang LC, Gerschwiler K, Kamps S (2004) A five-axis rough machining approach for a centrifugal impeller. Int J Adv Manuf Technol 23:233–239
Song G, Li J, Sun J (2013) Analysis on prediction of surface error based on precision milling cutting force model. Aust J Mech Eng 49:168–170
Ding H, Bi QZ, Zhu LM, Xiong YL (2010) Tool path generation and simulation of dynamic cutting process for five-axis NC machining. Chin Sci Bull 55:3408–3418
Liu Y, Shi L, Tian XC (2018) Weld seam fitting and welding torch trajectory planning based on NURBS in intersecting curve welding. Int J Adv Manuf Technol 95:2457–2471
Fan W, Lee CH, Chen JH (2015) A real time curvature-smooth interpolation scheme and motion planning for CNC machining of short line segments. Int J Mach Tools Manuf 96:27–46
Chu CH, Hsieh HT, Lee CH, Yan CY (2015) Spline-constrained tool-path planning in five-axis flank machining of ruled surfaces. Int J Adv Manuf Technol 80:2097–2104
Wang YH, Feng JC, Sun C, Chen M (2010) Research on five-axis dual-NURBS adaptive interpolation algorithm for flank milling. In: Key Engineering Materials. Trans Tech Publ, pp 330–335
Fan HZ, Wang W, Xi G (2013) A novel five-axis rough machining method for efficient manufacturing of centrifugal impeller with free-form blades. Int J Adv Manuf Technol 68:1219–1229
Kim DW, Suhaimi M, Kim BM, Jang DK, Chen FF (2013) Rough cut machining for impellers with 3-axis and 5-axis NC machines. In: Advances in Sustainable and Competitive Manufacturing Systems. Springer, pp 609–616
Chen KH (2011) Investigation of tool orientation for milling blade of impeller in five-axis machining. Int J Adv Manuf Technol 52:235–244
Wang LY, Huang HH, West RW, Wang DZ (2014) Intelligent manufacturing system of impeller for computer numerical control (CNC) programming based on KBE. J Cent South Univ 21:4577–4584
Han FY, Zhang CW, Guo W, Peng XL, Zhang W (2019) A high-efficiency generation method of integral impeller channel tool path based on parametric domain template trajectory mapping. Int J Adv Manuf Technol 100:75–85
Li M, Liu X, Jia D, Liang Q (2015) Interpolation using non-uniform rational B-spline for the smooth milling of ruled-surface impeller blades. Proc Inst Mech Eng Part B-J Eng Manuf 229:1118–1130
Wu JC, Zhou HC, Tang XQ, Chen JH (2015) Implementation of CL points preprocessing methodology with NURBS curve fitting technique for high-speed machining. Comput Ind Eng 81:58–64
Liu Q, Liu H, Yuan SM (2016) High accurate interpolation of NURBS tool path for CNC machine tools. Chin J Mech Eng 29:911–920
Yao Z, Feng JC, Wang YH (2008) Dual NURBS curve interpolation algorithm for 5-axis machining. J-Shanghai Jiaotong Univ-Chin Ed 42:235–239
Piegl L, Tiller W (1997) B-spline curves and surfaces. In: The NURBS book. Springer Berlin Heidelberg, Berlin, pp 81–116
Shi F (2001) Computer aided geometric design and non-uniform rational B-spline. High Educ Press, Beijing
Peng J, Liu X, Si L, Liu J (2017) A novel approach for NURBS interpolation with minimal feed rate fluctuation based on improved Adams-Moulton method. Math Probl Eng 2017:1–10
Fan HZ, Xi G, Wang W, Cao YL (2016) An efficient five-axis machining method of centrifugal impeller based on regional milling. Int J Adv Manuf Technol 87:789–799
Jung H, Kim K (2000) A new parameterisation method for NURBS surface interpolation. Int J Adv Manuf Technol 16:784–790
Jiang D, Wang LC (2006) An algorithm of NURBS surface fitting for reverse engineering. Int J Adv Manuf Technol 31:92–97
Ma WY, Kruth JP (1998) NURBS curve and surface fitting for reverse engineering. Int J Adv Manuf Technol 14:918–927
Xu K, Luo M, Tang K (2016) Machine based energy-saving tool path generation for five-axis end milling of freeform surfaces. J Clean Prod 139:1207–1223
Li L, Deng XG, Zhao JH, Zho F, Sutherland JW (2018) Multi-objective optimization of tool path considering efficiency, energy-saving and carbon-emission for free-form surface milling. J Clean Prod 172:3311–3322
Tsai MC, Cheng CW, Cheng MY (2003) A real-time NURBS surface interpolator for precision three-axis CNC machining. Int J Mach Tools Manuf 43:1217–1227
Featherstone R (1983) Position and velocity transformations between robot end-effector coordinates and joint angles. Int J Robot Res 2:35–45
Availability of data and materials
The datasets used or analyzed during the current study are available from the corresponding author on reasonable request.
Funding
This work was supported by the National Science Foundation of China (Grant: 51605380), Science and Technology Planning Project of Shaanxi Provincial Science and Technology Bureau’s (Grant: 2016GY-019 and 2018JQ5086).
Author information
Authors and Affiliations
Contributions
All authors participated in the writing, discussion, and revision of the paper, etc.
Corresponding author
Ethics declarations
Ethical Approval
Not applicable
Consent to participate
All authors consent to participate in the study, agreeing to the signature of the article.
Consent for publication
All authors consent to publish the article.
Competing interests
The authors declare that they have no conflict of interest.
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
Wei, J., Hou, X., Xu, G. et al. Modeling and machining of integral impeller based on NURBS curve. Int J Adv Manuf Technol 113, 2243–2255 (2021). https://doi.org/10.1007/s00170-021-06704-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-021-06704-4