Modeling and machining of integral impeller based on NURBS curve

Wei, Juan; Hou, Xueyan; Xu, Guowen; Zhang, Guangming; Fan, Hongwei

doi:10.1007/s00170-021-06704-4

Cited by 14 publications

(3 citation statements)

References 26 publications

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“…With the increasing demand for machining complex surface parts, complex surface modeling and machining technology based on NURBS technology has become the key technology for achieving high-efficiency precision machining and has attracted more and more attention from scholars. Wei et al 2 studied the integral impeller modeling and tool path planning based on NURBS curve and surface, and realized the design and processing of complex surface parts based on unified NURBS parameters, but its processing process depended on high-grade NC machine tools with NURBS interpolation function.…”

Section: Introductionmentioning

confidence: 99%

An efficient and accurate interpolation method for parametric curve machining

Wei

Sun

Zhang

et al. 2022

Sci Rep

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A subsection interpolation method based on the curve curvature threshold is proposed to resolve the incompatible problem of machining accuracy and machining efficiency in parametric curve machining. In the pre-interpolation stage, the curve curvature threshold is calculated based on geometric and kinematic constraints. The subsection interpolation key points and their nominal velocities are then determined from the curvature threshold points and the start and end points of the curve, and the arc length of each subsegment can be calculated based on the adaptive Simpson method. As a result, the S-type speed planning algorithm and the bidirectional speed scanning algorithm are used to update and realize the global speed curve to reduce the speed fluctuation. In the real-time interpolation stage, the curve interpolation parameters are calculated using the parametric modified second-order Runge–Kutta method, which could improve the interpolation accuracy significantly and also shorten the interpolation time. Finally, it is found using numerical cases that the proposed method can smooth the overall interpolation speed, reduce the speed fluctuation effectively and improve the real-time performance of the interpolation.

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Section: Introductionmentioning

confidence: 99%

An efficient and accurate interpolation method for parametric curve machining

Wei

Sun

Zhang

et al. 2022

Sci Rep

Self Cite

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“…To provide smooth cutting tool path during 5-Axis free-form surface cutting procedures, an advanced NURBS interpolation algorithm is discribed by Wang et al [13]. To increase surface quality and provide tool routes which are smooth during 5-Axis milling operations of integral impeller, danced NURBS curve generation of cutter pathway is developed by Wei et al [14]. To enhance motion stability during 5-Axis free-form surface machining procedures, dual NURBS Interpolator algorithm by considering the feed rate as well as cutting speed is developed by Ma et al [15].…”

Section: -Introductionmentioning

confidence: 99%

NURBS Interpolation Algorithm to Minimize Chord Error in 5-Axis CNC Milling Operations of Turbine Blades

Soori

Arezoo

2022

Preprint

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5-Axis CNC machining operations are added to create complicated items with free form surfaces, such as turbine blades. Virtual machining systems are used in machining processes to improve the precision of manufactured products. Chord errors can be caused by cutting tool paths with a set feed rate in 5-Axis machining processes of turbine blades with free form surfaces. As a consequence, chord errors should be studied and eliminated in order to obtain the appropriate precision in machined products with free form surfaces. The research work proposed a virtual machining system to reduce chord error in 5-Axis milling of free form surfaces. To obtain the NURBS (Non-Uniform Rational B-Splines) profiles of cutting tool paths with abilities of control points modification along machining operations, the curved surface interpolation algorithm during turbine blade five axes milling processes is implemented. Then, a NURBS interpolation algorithm with restricted chord error and control of acceleration is developed in the study to minimize chord error in machined parts with free form surfaces. Finally, the sample turbine blade is machined by using the 5-Axis CNC milling and the chord error along machining paths are measured by using the CMM machine. As a consequence,, the proposed virtual machining system can provide an efficient device for boosting the machined components accuracy with free form surfaces by employing 5-Axis CNC milling machines.

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“…The parametric interpolation based on a non-uniform rational B-splines (NURBS) curve is gradually being applied to CNC machining of complex free-form surfaces [1][2][3], such as molds, turbines, and blades, due to its advantages of a smooth machining process, high machining efficiency, and precision [4][5][6][7]. When machining a NURBS curve, the low feedrate will increase the machining time while an excessive feedrate will damage the workpiece and the machine tool; therefore, feedrate planning is crucial to machining efficiency and quality [8,9].…”

Section: Introductionmentioning

confidence: 99%

A Feedrate Planning Method for the NURBS Curve in CNC Machining Based on the Critical Constraint Curve

Guo

Yang

et al. 2021

Applied Sciences

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The curvature of the NURBS curve varies along its trajectory, therefore, the commonly used feedrate-planning method, which based on the acceleration/deceleration (Acc/Dec) model, is difficult to be directly applied in CNC machining of a NURBS curve. To address this problem, a feedrate-planning method based on the critical constraint curve of the feedrate (CCC) is proposed. Firstly, the problems of existing feedrate-planning methods and their causes are analyzed. Secondly, by considering both the curvature constraint and the kinematic constraint during the Acc/Dec process, the concept of CCC which represents the relationship between the critical feedrate-constraint value and the arc length is proposed. Then the CCC of a NURBS curve is constructed, and it has a concise expression conforming to the Acc/Dec model. Finally, a feedrate-planning method of a NURBS curve based on CCC and the Acc/Dec model is established. In the simulation, a comparison between the proposed method and the conventional feedrate-planning method is performed, and the results show that, the proposed method can reduce the Acc/Dec time by over 40%, while little computational burden being added. The machining experimental results validate the real-time performance and stability of the proposed method, and also the machining quality is verified. The proposed method offers an effective feedrate-planning strategy for a NURBS curve in CNC machining.

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Modeling and machining of integral impeller based on NURBS curve

Cited by 14 publications

References 26 publications

An efficient and accurate interpolation method for parametric curve machining

An efficient and accurate interpolation method for parametric curve machining

NURBS Interpolation Algorithm to Minimize Chord Error in 5-Axis CNC Milling Operations of Turbine Blades

A Feedrate Planning Method for the NURBS Curve in CNC Machining Based on the Critical Constraint Curve

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