scholarly journals Optimization of Barrel Cutter for Five-axis Flank-milling based on Approximation of Tool Envelope Surface

Author(s):  
Dongqing Yan
Author(s):  
Zhou-Long Li ◽  
Li-Min Zhu

Cutter runout is a common and inevitable phenomenon impacting the geometry accuracy in the milling process. However, most of the works on tool path planning neglect the cutter runout effect. In this paper, a new approach is presented to integrate the cutter runout effect into envelope surface modeling and tool path optimization for five-axis flank milling with a conical cutter. Based on the geometry model of cutter runout which consists of cutter axis and cutter tilt, an analytic expression of cutter edge combined with four runout parameters is derived. Then the envelope surface formed by each cutter edge is constructed using the envelope theory of sphere congruence. Due to the cutter runout effect, the envelope surfaces formed by the cutter edges are different from each other, and the valid envelope surface is the combination of these envelope surfaces which contribute to the final machined surface. To measure the machining errors, the geometry deviations between the valid envelope surface and the design surface are calculated with the distance function. On the basis of the differential property of the distance function, tool path optimization considering cutter runout is modeled as a mixed-integer linear programming (MILP) problem, which can be solved by the branch-and-bound method. Finally, numerical examples are given to confirm the validity and efficiency of the proposed approach. The results show that the geometry errors induced by runout can be reduced significantly using the proposed method.


Author(s):  
Yuwen Sun ◽  
Qiang Guo

The cutter runout effect has significant influence on the shape of the cutter swept surface and the machining surface quality. Due to the existence of cutter runout effect, the shape and position of envelope surface formed by each cutter edge are different from others. Hence, it is necessary to integrate the cutter runout effect and its resulting compound effects of all cutter edges into envelope surface modeling and form error prediction for five-axis milling. This paper establishes the envelope surface model considering cutter runout effect in five-axis flank milling based on the relative motion analysis of the cutter and part. In this model, the cutter runout is defined by three parameters, including inclination angle, location angle, and offset value, and the cutter runout effect is subsequently integrated into the model by using the cutter edge as the generatrix of cutter rotation surface. Then, the influence of each runout parameter on the shape of envelope surface formed by each cutter edge as well as the resulting form error in milling is investigated. Also, the compound effects of all cutter edges on the final resulting geometric errors of the machined surface are analyzed. Finally, simulations and machining experiment are conducted for a specific ruled surface, and the results validate the effectiveness and feasibility of proposed envelope surface model considering cutter runout effect. It is suitable to be used in tool positioning, tool installation adjustment, and forming error prediction in flank milling process with cutter runout.


2010 ◽  
Vol 443 ◽  
pp. 330-335 ◽  
Author(s):  
Yu Han Wang ◽  
Jing Chun Feng ◽  
Sun Chao ◽  
Ming Chen

In order to exploit the advantages of five-axis flank milling method for space free surface machining to the full, a definition of non-equidistant dual-NURBS tool path is presented first. On this basis, the constraint of velocity of points on the tool axis and the constraint of scanning area of the tool axis are deduced. Considering both of these constraints, an adaptive feed five-axis dual-NURBS interpolation algorithm is proposed. The simulation results show that the feedrate with the proposed algorithm satisfies both of the constraints and the machining time is reduced by 38.3% in comparison with the constant feed interpolator algorithm.


2010 ◽  
Vol 42 (10) ◽  
pp. 903-910 ◽  
Author(s):  
LiMin Zhu ◽  
Gang Zheng ◽  
Han Ding ◽  
YouLun Xiong

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