An analytic model for tool trajectory error in 5-axis machining

• Autorzy: So, B. S. , Park, D. H. , Cho, Y. , Kim, T. J. , Song, T. S. , Ko, T. J.
• Języki publikacji: EN

Abstrakty

EN

Purpose: This paper proposes an analytical method of evaluating the maximum error by modeling the exact tool path when the tool traverses singular region in five-axis machining. Design/methodology/approach: It is known that the Numerical Control (NC) data obtained from the inverse kinematic transformation can generate singular positions, which have incoherent movements on the rotary axes. Such movements cause unexpected errors and abrupt operations, resulting in scoring on the machined surface. To resolve this problem, previous methods have calculated several tool positions during a singular operation, using inverse kinematic equations to predict tool trajectory and approximate the maximum error. This type of numerical approach, configuring the tool trajectory, requires a lot of computational time to obtain a sufficient number of tool positions in the singular region. We have derived an analytical equation for the tool trajectory in the singular area by modeling the tool operation, by considering linear and nonlinear parts that are a general form of the tool trajectory in the singular area and that are suitable for all types of five-axis machine tools. In addition, evaluation of the maximum tool-path error shows high accuracy, using our analytical model. Findings: In this study, we have separated the linear components of the tool trajectory from the nonlinear ones, to propose a tool trajectory model that is applicable to any kind of 5-axis machine. We have also proposed a method to calculate the maximum deviation error based on the proposed tool trajectory model. Practical implications: The algorithms proposed in this work can be used for evaluating NC data and for linearization of NC data with singularity. Originality/value: Our algorithm can be used to modify NC data, making the operation smoother and reducing any errors within tolerance.

Słowa kluczowe

PL

obróbka 5-osiowa; obszar singularny

EN

CAD/CAM; 5-axis machining; tool trajectory error; singular area; NC programming

• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2008
• Tom: Vol. 31, nr 2
• Strony: 570-575
• Opis fizyczny: Bibliogr. 10 poz., wykr., tab.

Twórcy

autor

So, B. S.

autor

Park, D. H.

autor

Cho, Y.

autor

Kim, T. J.

autor

Song, T. S.

autor

Ko, T. J.

• Gyeongbuk Hybrid Technology Institute, 36 Goiyeon-dong, Yeongcheon-si, Gyeongbuk, 770-170, Korea,

Bibliografia

• [1] A. Affouard, E. Duc, C. Lartigue, J. M. Langeron, P. Bourdet, Avoiding 5-axis singularities using tool path deformation, International Journal of Machine Tools & Manufacture 44 (2004) 415-425.
• [2] E. Bohez, S. S. Makhanov, K. Sonthipermpoon, Adaptive nonlinear tool path optimization for five-axis machining, International Journal of Production Research 38/17 (2000) 4329-4343.
• [3] M. C. Ho, Y. R. Hwang, Machine codes modification algorithm for five-axis machining, Journal of Materials Processing Technology 142 (2003) 452-460.
• [4] M. C. Ho, Y. R. Hwang, C. H. Hu, Five-axis tool orientation smoothing using quaternion interpolation algorithm, International Journal of Machine Tools & Manufacture 43 (2003) 1259-1267.
• [5] Y. R. Hwang, Cutting Error Analysis for Table-Tilting Type Four-Axis NC Machines, International Journal of Advanced Manufacturing Technology 16 (2000) 265-270.
• [6] S. S. Makhanov, D. Batanov, E. Bohez, K. Sonthipaumpoon, W. Anotaipaiboon, M. Tabucanon, On the tool-path optimization of a milling robot, Computers & Industrial Engineering 43 (2002) 455-472.
• [7] S. Sakamoto, I. Inasaki, Analysis of generating motion for five-axis machining centers, Transactions of the Japan Society of Mechanical Engineers 59/561 (1993) 1553-1559.
• [8] M. Tsutsumi, A. Saito, Identification of angular and positional deviations inherent to 5-axis machining centers with a tilting-rotary table by simultaneous four-axis control movements, International Journal of Machine Tools & Manufacture 44 (2004) 1333-1342.
• [9] E. J. Wei, M. C. Lin, Study on general analytical method for CNC machining the free-from surfaces, Journal of Materials Processing Technology 168 (2005) 408-413.
• [10] I. Zeid, CAD/CAM Theory and Practice, McGraw-Hill, 1991.