Mathematical Model of the Bevel Gears Flanks Considering the Cutting Machine Type

Faluvegi, Erzsebet; Mate, Csaba Zoltan; Cristea, Luciana

doi:10.1007/978-94-007-6558-0_49

Cited by 2 publications

(3 citation statements)

References 1 publication

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“…Pair in the Knotter According to the flow chart shown in Figure 5, the tooth surface point sets of the bevel gear pair may be programmed to solve and visual display by using powerful calculation and graphic display function of MATLAB software [30,31]. During the solution, the parameter t is set to take value at 0.2 intervals within the range from 0 to 0.8.…”

Section: Establishment Of Accurate 3d Model Of Bevel Gearmentioning

confidence: 99%

Transmission Design of Bevel Gear with Arbitrary Crossed Axes and Its Application in the Knotter

Yin

Han

Zheng

et al. 2021

Preprint

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The bevel gear transmission with crossed axes is widely used, but there are the difficulty of tooth profile calculation and modeling in the design and manufacturing process. This paper analyzes firstly the parameter solving equation of the bevel gear pair with arbitrary crossed axes. Based on the meshing principle of the bevel gear pair and numerical analysis method, the meshing equations of the bevel gear pair with crossed axes are derived, which provide the calculation models for the design of spatial bevel gear tooth surface. Taking the bevel gear pair with crossed axes in two kinds of the knotter as two design examples, the geometric parameters of the bevel gear pair in the knotter are solved, and the mathematical models of the tooth surface are programmed and calculated by using MATLAB. Through the graphic display of the tooth surface point set under MATLAB software and the 3D modeling function of Pro/Engineering software, the accurate 3D models of the bevel gear tooth surface are established. The meshing transmission simulations of the established bevel gear pair are respectively carried out by using ADAMS, and their physical prototype and transmission tests are also implemented. The test results showed that the transmission of the designed bevel gear pair is accurate and stable, which proves the correctness of the derived calculation model of the tooth surface of the bevel gear with crossed axes.

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Section: Establishment Of Accurate 3d Model Of Bevel Gearmentioning

confidence: 99%

Transmission Design of Bevel Gear with Arbitrary Crossed Axes and Its Application in the Knotter

Yin

Han

Zheng

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Az oktoid II fogazású generáló síkkerék jobb fogprofilját szemlélteti a 2. ábra. Az O 1 X 1 Y 1 Z 1 koordináta rendszer a generáló síkkerékhez kötött, melyben a fogprofil egyenleteit a vektoralgebra segítségével írtuk fel [5].…”

Section: Az Oktoid II Fogfelületekunclassified

“…ábra. Az oktoid II fogazású generáló síkkerék jobb fogprofilja, [5] Oktoid II fogazás esetén is ugyanazt a koordináta transzformációt kell alkalmazni, mint oktoid I esetén. Az így kapott egyenleteket Matlab programozási környezetben futtatva szintén pontfelhőket eredményeznek.…”

Section: Az Oktoid II Fogfelületekunclassified

Kúpfogaskerék építés egyenletekből

Faluvégi¹

2014

FMTÜ

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This paper presents how to comply the model of a straight teethed bevel gear using the tooth surface equations. Bevel gears with straight teeth can be machined with straight edged cutting tools using different machine-tools. These machine-tools and cutters can produce octoid I and octoid II teething. From the equations of both these teething profiles we can generate certain point clouds using Matlab software. We can then fit adequate surfaces to the point clouds using Catia environment. After generating all the necessary surfaces we obtain a connected surface which can be filled with material. The resulting body is the model of the bevel gear.The model can be used for any application like simulation or 3D printing.

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Mathematical Model of the Bevel Gears Flanks Considering the Cutting Machine Type

Cited by 2 publications

References 1 publication

Transmission Design of Bevel Gear with Arbitrary Crossed Axes and Its Application in the Knotter

Transmission Design of Bevel Gear with Arbitrary Crossed Axes and Its Application in the Knotter

Kúpfogaskerék építés egyenletekből

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