Bézier polygons for the linearization of dual NURBS curve in five-axis sculptured surface machining

Qiao, Zhifeng; Wang, Tao; Wang, Yunfeng; Hao, Miao; Liu, Qingjian

doi:10.1016/j.ijmachtools.2011.10.003

Cited by 45 publications

(12 citation statements)

References 16 publications

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“…Annoni et al [23] combined feed function and subdivision tasks in the proposed algorithm to obtain better result. Other efforts focused on new subdivision method for improvement [24][25]. Instead of real-time computation, Lee et al [26] proposed moving the feed function computation to non-real-time (ahead of actual machining) to eliminate the real-time limitations.…”

Section: Optimized Feed Planning and Interpolationmentioning

confidence: 99%

From computer-aided to intelligent machining: Recent advances in computer numerical control machining research

Lee

Gao

2015

Proceedings of the Institution of Mechanical Engineers, Part B:

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The aim of this paper is to provide an introduction and overview of recent advances in the key technologies and the supporting computerized systems, and to indicate the trend of research and development in the area of computational numerical control machining. Three main themes of recent research in CNC machining are simulation, optimization and automation, which form the key aspects of *Corresponding author, Email: welcome.li@nuaa.edu.cn 2 intelligent manufacturing in the digital and knowledge based manufacturing era. As the information and knowledge carrier, feature is the efficacious way to achieve intelligent manufacturing. From the regular shaped feature to freeform surface feature, the feature technology has been used in manufacturing of complex parts, such as aircraft structural parts. The authors' latest research in intelligent machining is presented through a new concept of multi-perspective dynamic feature (MpDF), for future discussion and communication with readers of this special issue. The MpDF concept has been implemented and tested in real examples from the aerospace industry, and has the potential to make promising impact on the future research in the new paradigm of intelligent machining. The authors of this paper are the guest editors of this special issue on computational numerical control machining. The guest editors have extensive and complementary experiences in both academia and industry, gained in China, USA and UK.

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Section: Optimized Feed Planning and Interpolationmentioning

confidence: 99%

From computer-aided to intelligent machining: Recent advances in computer numerical control machining research

Lee

Gao

2015

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…Each five-axis toolpath included cutter tip and orientation data. 21 Compared with discrete data format, the five-axis toolpath, which is defined in terms of non-uniform rational B-spline (NURBS), has improved machining efficiency. And this is based on the advantages of improved path smoothness and reduced size of machining codes.…”

Section: Introductionmentioning

confidence: 99%

A novel minimum-time feedrate schedule method for five-axis sculpture surface machining with kinematic and geometric constraints

Wang

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part B:

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Currently, to satisfy the stringent requirements on the physical properties of sculptured surfaces, workpiece machining attempts to guarantee the level of machining accuracy while improving the efficiency as much as possible. Because of the characteristics of the sculptured surfaces, the machine tool is usually run at a lower feedrate to avoid large impact forces. However, this sacrifices machining time and still may not meet the requirements. This article presents a novel minimum-time feedrate schedule method to improve the machining efficiency for five-axis machining considering the surface characteristic constraints. First, the mapping relationship between the surface characteristic and the kinematical parameters is constructed by analyzing the following error on each axis. After that, the new constraint conditions on machine tool kinematics limitation and its continuity constraints are given to address changes in the curvature. Next, a new acceleration/deceleration feedrate schedule method is presented based on quintic feedrate smooth profile to minimize the impact force as much as possible. Thus, a novel minimum-time feedrate schedule based on the bidirectional feedrate schedule algorithm is proposed to improve machining efficiency while respecting various constraints. Finally, a sculptured surface with varied curvature is used to illustrate the significant reduction in processing time and improvement in surface quality in large curvature region after scheduling. The simulation and experimental results show that the proposed method can improve the machining efficiency while guaranteeing the machining accuracy.

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“…Up to now, the NURBS method is effectively applied in many areas of computer-aided design and manufacturing (CAD/CAM), computer-aided geometric design (CAGD), and geometric modeling. Particularly, it has diverse applications in isogeometric analysis, 4,5 reverse engineering, [6][7][8] computer numerical control (CNC) machining, [9][10][11] and so on.…”

Section: Introductionmentioning

confidence: 99%

On the limits of non-uniform rational B-spline surfaces with varying weights

Yue

Zhu

Guo

2017

Advances in Mechanical Engineering

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The non-uniform rational B-spline is a mathematical model commonly used in computer-aided design and manufacturing. For a non-uniform rational B-spline surface, when a single weight approaches infinity, the surface tends to the corresponding control point. A natural question is that what happens if all of the weights approach infinity. In this article, we define the regular control surface, which is a kind of control structure of non-uniform rational B-spline surface, and prove that it is exactly the limiting position of the non-uniform rational B-spline surface when all of weights, multiplied by a certain one-parametric function with different values for each control point, go to infinity. It develops the geometric meaning of weights of non-uniform rational B-spline surface. Moreover, some examples are presented to show the application for the surface deformation by this property.

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Bézier polygons for the linearization of dual NURBS curve in five-axis sculptured surface machining

Cited by 45 publications

References 16 publications

From computer-aided to intelligent machining: Recent advances in computer numerical control machining research

From computer-aided to intelligent machining: Recent advances in computer numerical control machining research

A novel minimum-time feedrate schedule method for five-axis sculpture surface machining with kinematic and geometric constraints

On the limits of non-uniform rational B-spline surfaces with varying weights

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