The profiling of end mill and planing tools to generate helical surfaces known by sampled points

Teodor, Virgil; Popa, Ionuţ; Oancea, Nicolae

doi:10.1007/s00170-010-2655-x

Cited by 20 publications

(7 citation statements)

References 7 publications

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“…The (8) coordinates are transferred at the X 1 Y 1 Z 1 reference system, associated with the primary peripheral surface of the disc tool, by transforming:…”

Section: Disc Tool's Profiling-generating Kinematicsmentioning

confidence: 99%

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3D graphical method for profiling tools that generate helical surfaces

Berbinschi

Teodor

Oancea

2011

Int J Adv Manuf Technol

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In this paper, we propose a method based on the surfaces enveloping theory developed as a vertical application in the CATIA graphical design environment. This method is created for profiling tools intended to generate cylindrical helical surfaces with constant pitch. The devised method is applicable for the profiling of disc tools which are bounded by a primary peripheral surface of revolution.A few examples for the determination of the tool's 3D primary peripheral surface are presented such as helical flutes of cutting tools, worms with wide pitches, and gear involute flanks. The results are presented in both graphical and tabular form for completeness. Screen snapshots of the CATIA-based vertical application are also shown.

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“…The (8) coordinates are transferred at the X 1 Y 1 Z 1 reference system, associated with the primary peripheral surface of the disc tool, by transforming:…”

Section: Disc Tool's Profiling-generating Kinematicsmentioning

confidence: 99%

“…A profiling solution based on the Bezier approximating polynomials for the helical surfaces generatrix [7,8] was also proposed recently. This solution allows the determination of the tool's cutting edge via a finite number of points along the profile to be generated with an acceptable precision from an engineering perspective.…”

Section: Introductionmentioning

confidence: 99%

3D graphical method for profiling tools that generate helical surfaces

Berbinschi

Teodor

Oancea

2011

Int J Adv Manuf Technol

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“…Deng et al [8] proposed a methodology for machining the worm drives to attain higher efficiency and precision using five-axis machining. To a different approach, Teodor [9] used a discrete expression with three or four points of its generatrix profile to generate an end mill tool and planning tool profiling. Although the previous research used the forming method to completely design the cutter profile for manufacturing the worms, this method is less efficient because it only manufactures one groove at a time.…”

Section: Introductionmentioning

confidence: 99%

A novel machining method using an internal skiving cutter with multiple inserts to manufacture ZC cylindrical worm

Tran,

Trong,

Hoang

2024

Preprint

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The cylindrical worm is usually manufactured by generating methods, such as hobbing and whirling; however, the aforementioned methods are restricted to manufactured time and control machining profile with stock. Therefore, this paper introduces a novel machining process designed for ZC concave worms, simultaneously enhancing machining efficiency and profile control ability. Accordingly, a skiving cutter with multiple inserts on an internal helical gear tooth is proposed. A curve-fitting model of the generating rack is first illustrated to generate the ZC worm flanks when considering grinding stock conveniently. The position of the cutting edge is then analyzed via the geometry of an internal barrel worm to ensure non-interference during the cutting process. In addition, the insert body is generated based on the helicoid motion of the cutting edge. Subsequently, it also presents a machining process to grind the insert body. Furthermore, the skiving process employing multiple inserts on a multi-axis CNC machine is presented. Finally, the meshing and boundary points of the cutting trajectory are concurrently defined during the skiving process. The numerical and virtual experimental results demonstrate the high precision and absence of overcutting in skived worm profiles.

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“…As these screws or screw-shaped components, in all their many and varied forms, are finding wider and wider application in industry along with the ever increasing demand for higher quality and lower cost, more and more attention has been drawn to their modeling and manufacture [5,6]. Focusing on the generation of the helical surface profiles on cutting tools, Sun et al [7] presented a simulation model for the grinding process of these helical surfaces.…”

Section: Introductionmentioning

confidence: 99%

On Helical Projection and Its Application in Screw Modeling

Liu

Zhu

2014

Advances in Mechanical Engineering

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As helical surfaces, in their many and varied forms, are finding more and more applications in engineering, new approaches to their efficient design and manufacture are desired. To that end, the helical projection method that uses curvilinear projection lines to map a space object to a plane is examined in this paper, focusing on its mathematical model and characteristics in terms of graphical representation of helical objects. A number of interesting projective properties are identified in regard to straight lines, curves, and planes, and then the method is further investigated with respect to screws. The result shows that the helical projection of a cylindrical screw turns out to be a Jordan curve, which is determined by the screw's axial profile and number of flights. Based on the projection theory, a practical approach to the modeling of screws and helical surfaces is proposed and illustrated with examples, and its possible application in screw manufacturing is discussed.

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The profiling of end mill and planing tools to generate helical surfaces known by sampled points

Cited by 20 publications

References 7 publications

3D graphical method for profiling tools that generate helical surfaces

3D graphical method for profiling tools that generate helical surfaces

A novel machining method using an internal skiving cutter with multiple inserts to manufacture ZC cylindrical worm

On Helical Projection and Its Application in Screw Modeling

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