Mathematical Model and Tool Path Calculation for Helical Groove Whirling

Han, Quanquan; Liu, Ri-Liang

doi:10.19026/rjaset.6.3563

Cited by 5 publications

(2 citation statements)

References 6 publications

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“…This study establishes the mathematical model of helical groove based on cross-section and presents an approach to calculate tool path using the whirling process which machines helical groove through enwrapping movements with standard cutters. Finally, a case study and the error analysis are provided to illustrate the validity of the developed models and algorithms, which offers an alternative method for further computer aided manufacturing (Han & Liu, 2013).…”

Section: Literature Reviewmentioning

confidence: 99%

Analytical and Computergraphic Method of Surfaces’ Formation Projected by Rays of Congruence of Cylindrical Screw Lines With the Constant Step

Simenko¹,

Ignatiev²,

Voronina³

2017

IJET

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Abstract-Relevance of the research: The relevance of this study is due to the fact that the condition for the use of computer technologies in design requires an analytical interpretation of existing constructive ways of shaping products of complex shape. Development of the general analytical model of nonconventional systems of projection and their projecting surfaces applicable in computer technologies makes a current problem. Since screw motion is one of the most "technological" movements after the translational and rotational motion, the problem of computer-aided design of screw surfaces is relevant. Relevance of the problem The central and parallel projection due to the fact that at their application the straight line is mapped onto any plane of projections of a straight line, they have the most widespread use. We will call them traditional. The purpose of traditional systems is the graphic modelling of three-dimensional objects by their projections, at least on two planes making the system of projections.Recently in application-oriented geometry many non-traditional systems of projection are introduced. Emergence of non-traditional systems is caused by need for graphical representation and research of specific objects, in particular, the surfaces formed by the family of rays of the corresponding system, projecting the presented line. Such systems can be classified by type of the ray and by determinant of the system itself, which would provide the passage of one ray through an arbitrary point of the area of space defined for it. In this case, the concept of a projecting ray extends to a planar or three-dimensional curve. In case of systems with rectilinear

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Section: Literature Reviewmentioning

confidence: 99%

Analytical and Computergraphic Method of Surfaces’ Formation Projected by Rays of Congruence of Cylindrical Screw Lines With the Constant Step

Simenko¹,

Ignatiev²,

Voronina³

2017

IJET

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“…Milling is always related to enveloping. It is well-known that the solution for planetary thread milling is a type of problem based on the kinematic method of envelope determination [8][9][10][11][12][13]. An analytical approach does not always guarantee the correct solution.…”

Section: Introductionmentioning

confidence: 99%

Metric Buttress Thread Milling and Turning on CNC Machines

Щуров¹,

Nemitova²,

Shchurova³

et al. 2018

Int. J. Automot. Mech. Eng.

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Present-day catalogues of tool manufacturers do not contain information on milling cutters for planetary milling of metric buttress threads with nominal pitches on computer numerical control (CNC) machines. This paper presents the results of theoretical and experimental investigation of buttress threads cutting on 3-axis CNC machines. The theoretical investigation is based on the kinematic method of envelope determination. This analytical solution has been verified by the solid modelling method and experiments. It has been proven that standard metric buttress threads with nominal pitches cannot be cut by planetary milling on the 3-axis CNC machines. At the same time, metric buttress threads with small pitches can be produced; such cases are described in this paper. However, thread surface quality after planetary milling is problematic. The technology of initial productive thread milling followed by final thread turning is suggested to obtain metric buttress thread using a new type of millingturning cutters. The results of this investigation can be useful for industrial plants if buttress thread milling on 3-axis CNC machines is necessary.

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Analytical and computer modeling of surfaces with the curvilinear projection method

Denisova¹,

Гурьева²

2023

Ontology of Designing

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The article discusses the shaping of surfaces by analytical methods and their visualization by means of computer graphics. . This topic attracts the attention of architects, engineers and mechanical scientists, for whom it is important to see the surfaces in the structures of machines for various purposes and in the forms of structures, to approximate complex surfaces with simpler ones - analytical ones; choose a rational form of the shell from several options, taking into account the functional, technological and ergonomic requirements for the product. The purpose of the work is to study the methods of formation of surface shapes. The research method is the general analytical theory of applied surface shaping, which meets modern requirements for the use of computer technology. In this paper, parametric equa-tions of the cyclic surface of Joachimsthal are obtained, the possibilities of shaping such surfaces, which are recom-mended for practical use, are shown. Using examples of visualization of surfaces by means of computer graphics (Ma-ple program), the use of analytical models is shown, which makes it possible to quickly and reliably assess the construc-tive and aesthetic qualities of the shell in scientific research, design, and manufacture. The ways of developing an ana-lytical apparatus are determined, which allows modeling the process of curvilinear projection and the formation of sur-faces as a system of projecting rays passing through a given surface projection. The purposeful choice of the paramet-ric form of analytical modeling of surfaces contributes to the direct use of models in automated design systems, pre-production systems and in modern computer graphics packages (Kompas 3D, Renga, Revit, Ansys, Lira Sapr, Scad, etc.)

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Mathematical Model and Tool Path Calculation for Helical Groove Whirling

Cited by 5 publications

References 6 publications

Analytical and Computergraphic Method of Surfaces’ Formation Projected by Rays of Congruence of Cylindrical Screw Lines With the Constant Step

Analytical and Computergraphic Method of Surfaces’ Formation Projected by Rays of Congruence of Cylindrical Screw Lines With the Constant Step

Metric Buttress Thread Milling and Turning on CNC Machines

Analytical and computer modeling of surfaces with the curvilinear projection method

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