Recent development in CNC machining of freeform surfaces: A state-of-the-art review

Lasemi, Ali; Xue, Deyi; Gu, Peihua

doi:10.1016/j.cad.2010.04.002

Cited by 366 publications

(172 citation statements)

References 124 publications

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“…A comparison is made between our method and their work in terms of the precision in the following. Figure 5 is a quintic Bézier curve with six control points (3, −1), (4,2), (4.5, 2), (5.5, 1.5), (6.5, 0), and (7, −1). Figure 5 shows the approximation error performance.…”

Section: Methodsmentioning

confidence: 99%

“…Offset curves are widely used in various computer-aided design and manufacturing (CAD/CAM) areas, such as tool path generation [1,2], 3D numerical control (NC) machining [3,4], solid modeling [5], graphics [6], and so on. However, the offset curve usually cannot be represented in a polynomial or rational form, and thus is difficult to apply in CAD systems.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Method of Offset Approximation along the Normal Direction with High Precision

Zhao

Zhou

2017

MCA

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Abstract:A new algorithm is proposed for polynomial or rational approximation of the planar offset curve. The best rational Chebyshev approximation could be regarded as a kind of geometric approximation along the fixed direction. Based on this idea, we developed a wholly new offset approximation method by changing the fixed direction to the normal directions. The error vectors follow the direction of normal, and thus could reflect the approximate performance more properly. The approximation is completely independent of the original curve parameterization, and thus could ensure the stability of the approximation result. Experimental results show that the proposed algorithm is reasonable and effective.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Method of Offset Approximation along the Normal Direction with High Precision

Zhao

Zhou

2017

MCA

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“…The choice of machining strategy is related to the shape to be produced. To find the most efficient CNC machining strategy for a given free-form object is still an open and very challenging task [26,10].…”

Section: Introductionmentioning

confidence: 99%

“…We derive new computational methodology for manufacturing that reduces the time and cost and increases the quality of fabrication processes, particularly for free-form (NURBS) objects. The technology we have in mind is 5-axis CNC machining (milling) because it is the leading manufacturing technology [10]. A revolving milling tool is navigated along a workpiece, removing the undesired material and producing the desired shape.…”

Section: Introductionmentioning

confidence: 99%

Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution

Bartoň

Plakhotnik³

et al. 2016

Computer-Aided Design

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We introduce a new method that approximates free-form surfaces by envelopes of one-parameter motions of surfaces of revolution. In the context of 5-axis computer numerically controlled (CNC) machining, we propose a flank machining methodology which is a preferable scallop-free scenario when the milling tool and the machined free-form surface meet tangentially along a smooth curve. We seek both an optimal shape of the milling tool as well as its optimal path in 3D space and propose an optimization based framework where these entities are the unknowns. We propose two initialization strategies where the first one requires a user's intervention only by setting the initial position of the milling tool while the second one enables to prescribe a preferable tool-path. We present several examples showing that the proposed method recovers exact envelopes, including semi-envelopes and incomplete data, and for general free-form objects it detects envelope sub-patches.

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“…Computer Aided Design (CAD) and integrated Numerical Control (NC) technologies have been developed for tool path optimisation [1] and machining planning with capabilities of distributed planning [2], intelligent planning [3], reconfigurable planning [4] and integration with production scheduling [5]. However, product data in existing CAD systems do not support adaptive machining planning and optimisation, where main concerns are the changes in component geometry, machining methods, parameters, resources due to various requirements and constraints in real manufacturing operations.…”

Section: Introductionmentioning

confidence: 99%

A multi-perspective dynamic feature concept in adaptive NC machining of complex freeform surfaces

Liu

Gao

2015

Int J Adv Manuf Technol

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This paper presents a new concept of feature for freeform surface machining that defines the changes in feature status during real manufacturing situations which have not been sufficiently addressed by current international standards and previous research in feature technology. These changes are multi-perspective, including (i) changes in depth-of-cut: the geometry of a feature in the depth-ofcut direction changes during different machining operations such as roughing, semi-finishing and finishing; (ii) changes across the surface: a surface may be divided into different machining regions (effectively sub-features) for the selection of appropriate manufacturing methods for each region such as different cutting tools, parameters, set-ups or machine tools; and (iii) changes in resources or manufacturing capabilities may require the re-planning of depth-of-cuts, division of machining regions and manufacturing operations (machines, tools, set-ups and parameters). Adding the above dynamic information to the part information models in current CAD systems (which only represent the final state of parts) would significantly improve the accuracy, efficiency and timeliness of manufacturing planning and optimisation, especially for the integrated NC machining planning for complex freeform surfaces. Case study in an aircraft manufacturing company will be included in this paper.

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Recent development in CNC machining of freeform surfaces: A state-of-the-art review

Cited by 366 publications

References 124 publications

A Novel Method of Offset Approximation along the Normal Direction with High Precision

A Novel Method of Offset Approximation along the Normal Direction with High Precision

Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution

A multi-perspective dynamic feature concept in adaptive NC machining of complex freeform surfaces

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