Spiral tool path generation method in a NURBS parameter space for the ultra-precision diamond turning of freeform surfaces

He, Shaoming; Xuan, Jianhua; Du, Wenhao; Xia, Qi; Xiong, Shoucong; Zhang, Leilei; Wang, Yinfeng; Wu, Jinzhou; Tao, Hongfei; Shi, Tielin

doi:10.1016/j.jmapro.2020.10.073

Cited by 28 publications

(8 citation statements)

References 29 publications

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“…The NURBS surface has good local control characteristics, to fit the value points of the conjugate surface with NURBS surface, it is necessary to calculate the given control vertices. The inverse calculation problem of the surface is usually resolved into two-stage curve inverse calculation, select M 3 N type value points on the conjugate surface, suppose the type value point of the j-th (j = 1, 2, ..., N) u-direction curve is F i,j , the control points are V i,j (i = 1, 2, ..., M + 2), then the equations of the j-th control point are as follows 20 : According to the free endpoint condition (19), the control point in u-direction can be obtained, take the u-direction control point as type value point in wdirection, and calculate the B-spline surface control point p i,j in the same way, the parameters u and w and the control points P i, j constitute the B-spline surface fitting equation, as shown in formula (21), Figure 10 is the schematic diagram of fitting tooth surface.…”

Section: Mathematical Model Of Conjugate Surfacementioning

confidence: 99%

Section: Parameter Calculation Of Gear Skiving Cuttermentioning

confidence: 99%

“…Gear skiving is a new processing technology that directly cuts the tooth profile from the blank, which can realize continuous and efficient indexing processing. [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] Stadtfeld 11 pointed out that the production efficiency of gear skiving process is higher than that of gear hobbing and gear shaping. There are few research results on gear turning machining.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Machining principle and cutter design of face gear skiving

Wang

Luo

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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Current processing methods of face gear are mainly limited to gear shaping, gear hobbing, and other processes. In order to achieve high-precision and high-efficiency machining of face gear, this paper proposed the cutting technology and tool design of face gear skiving. Solving the tooth surface of the skiving cutter according to the meshing principle, and fitted by NURBS surface. Intersecting the rake and conjugate face to obtain cutting edge data, and import it into the CAD software to build the skiving cutter model, the tooth surface enveloped by the cutting edge of the skiving tool is solved according to the envelope principle. This paper proposed the machining principle and tool design method of face gear skiving and analyzed the influence of tool tooth profile error and installation error on the face gear tooth surface deviation, which provides a reference for improving the machining accuracy and efficiency of face gears and further improving the gear skiving process.

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Section: Mathematical Model Of Conjugate Surfacementioning

confidence: 99%

Section: Parameter Calculation Of Gear Skiving Cuttermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Machining principle and cutter design of face gear skiving

Wang

Luo

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…Scholars at home and abroad have carried out extensive research to improve the five-axis digital curve machining technology. First, in terms of path planning technology, He et al [5] studied the tool path generated by spline curves for complex surfaces and obtained better surface quality and processing efficiency. Ding et al [6] proposed to select unequal section plane spacing for different processing areas.…”

Section: Introductionmentioning

confidence: 99%

Optimization of tool axis vector for mirror milling of thin-walled parts based on kinematic constraints

Qian

Zhang

Gao

et al. 2022

Int J Adv Manuf Technol

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In the mirror milling of thin-walled parts, the machining path and the change of the tool axis vector will affect the surface quality of the workpiece and the machining efficiency. The machined surface was discretized into point cloud data, and the surface was fitted. Based on the constraints of mirror milling, the tool location points, and machining paths were generated first. Then the tool location points in the space were projected onto the parameter plane to fit the spline curve. What's more, the position of the corresponding point on the fitting surface was obtained from the tool position point after fitting on the parameter plane and obtaining the tool axis vector. After obtaining the optimized tool position data, the tool axis vector was optimized based on kinematic constraints, precisely, the machine tool rotation axis needs to satisfy the constraints of the maximum angular velocity, maximum angular acceleration, and maximum angular jerk. Therefore, in the process of machining, due to the problems of angular velocity, angular acceleration, and angular jerk at certain tool positions exceeding the limit, feedrate for CNC machines was optimized first. Furthermore, the optimization target was established based on the minimum sum of the motion fluctuations of the rotary axis and the machining time. After that, the optimized machining path and tool axis vector were simulated and tested. Finally, the simulation and experimental results were determined through analysis, which proved the feasibility of the optimized model proposed in this paper. At the same time, the experimental measurement results also showed that the optimized machining path had been significantly improved in both quality and efficiency.

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“…Finally, the adaptive speed planning and local optimization of the tool path are used to control the trajectory of the transition surface [20][21][22]. As a spline tool path, NURBS is widely used for its advantages of high continuity, convenient local adjustment and good shape retention during fitting [23][24][25][26]. However, in NC interpolation, the analytical expression is an iterative difference expression, resulting in a large amount of real-time calculation.…”

Section: Introductionmentioning

confidence: 99%

Research on Speed Planning in the Constant Speed Interval and Quality Prediction on the Transition Surface

Zhou

et al. 2022

Machines

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Aiming at the particularity on the transition surface, this paper carried out research on adaptive speed planning, local optimization of machining toolpaths to improve the surface quality of the transition surface, and visualization of motion parameters to predict the surface quality of the transition surface. Constant speed interval planning and trajectory optimization were carried out on the transition surface between the bottom of a Cola bottle and the curved surface with variable curvature, respectively, and the visualization maps before and after optimization were obtained. The comparison showed that the motion parameters of the optimized visualization map had better smoothness. Further, the effectiveness of the estimated surface quality was verified through the actual machining of the variable curvature transition surface and Wuzhi mountain parts. The consistency of the improvement of the processed surface quality and the quality of the visualization were verified.

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Spiral tool path generation method in a NURBS parameter space for the ultra-precision diamond turning of freeform surfaces

Cited by 28 publications

References 29 publications

Machining principle and cutter design of face gear skiving

Machining principle and cutter design of face gear skiving

Optimization of tool axis vector for mirror milling of thin-walled parts based on kinematic constraints

Research on Speed Planning in the Constant Speed Interval and Quality Prediction on the Transition Surface

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