Contact characteristics of cylindrical gears with curvilinear shaped teeth

Tseng, Rui-Tang; Tsay, Chung-Biau

doi:10.1016/j.mechmachtheory.2004.04.006

Cited by 51 publications

(29 citation statements)

References 9 publications

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“…He analyzed transmission errors and bearing contacts of CATT gears under different assembly conditions using Litvin's method [17][18][19][20][21]. Chen Ming and Di Yutao, from the Harbin Institute of Technology, investigated the meshing interference, axis error and meshing influence caused by the centre distance.…”

Section: Methods Of Processing and An Analysis Of Meshing And Contact mentioning

confidence: 99%

Method of Processing and an Analysis of Meshing and Contact of Circular Arc Tooth Trace Cylindrical Gears

et al. 2016

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SummaryThis paper presents the investigation into the tooth profile features, meshing characteristics and the principle of forming circular arc tooth race cylindrical gears (CATT gears). Based on the meshing theory of the curvilinear gear, tooth surface equations and meshing line equations of the gears and rack shave been established. The graphical analysis of these equations shows meshing performances. The results reveal that an ideal CATT gear can mesh with each other at a line contact and the rack cutter can machine an ideal CATT gear by translational motion. A planetary gear train is proposed to be used as processing device. The device consists of one or several gear pairs and it can be fixed to multiple tools. The new device can machine ideal tooth profiles and the teeth have the same thickness in the circumferential direction. The processing results show that the device can also adjust the forming radius of the tooth trace without grades and that it performs continuous cutting without introducing imbalance into the mechanism.

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Section: Methods Of Processing and An Analysis Of Meshing And Contact mentioning

confidence: 99%

Method of Processing and an Analysis of Meshing and Contact of Circular Arc Tooth Trace Cylindrical Gears

et al. 2016

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“…It includes two holder plates whose axle centers are fixed on support(4). Between the two holder plates, connecting rod(2) is fixed whose two terminals are actively connected to the tool holder plates(1) by connecting column (3). And the connecting rod(2) is parallel to the line that links the two axes of the tool holder plates 1.…”

Section: Processing Way Of An Arch Cylindrical Gearmentioning

confidence: 99%

“…[2] It is a long time, people thought of research and manufacture the arch cylindrical gear, but due to the gear meshing characteristics and its structural parameters that have no unified standard, especially the gear processing way that has not been resolved, the application of arch cylindrical gears has not developed well. [3][4][5][6] II. IDEAL GEOMETRY PARAMETERS OF INVOLUTE ARCH CYLINDRICAL GEAR The characteristics of ideal arch cylindrical gear can be concluded as following: The tooth trace is an arc; tooth profile is an involute and the circumcolumnar tooth thicknesses are equal to each other.…”

Section: Introductionmentioning

confidence: 99%

The Mesh Characteristics of Arch Cylindrical Gear and Its Digitization Analysis

Song

Gao

2010

2010 International Conference on Digital Manufacturing &Amp; Automation

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As a new kind of cylindrical gear, the involute arch cylindrical gear has preferable transmission characteristics, but its main geometry parameters have no unified standard. In this paper, the ideal geometry parameters of involute arch cylindrical gear are proposed and its tooth surface equation and meshing line equation are discussed. For verification, the computer graphics is introduced to show the meshing characteristics. By programming, tooth surface and meshing line are discretizesd, fetching some points and linking these points by short straight line to present the lines and surfaces which are visualized to show meshing characteristics. Simultaneously, a process way for arch cylindrical gears is proposed.

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“…But the teeth on the base cylinder of the gear are curvilinear shaped. Researches about the curvilinear-tooth gear are continually conducted [2][3][4][5][6][7]. In this study, the tooth surface of the involute curvilineartooth gear is firstly generated as that of the spur or helical gear; then the equation of the tooth surface and the meshing equation are derived; and finally the equation of the contact line is calculated.…”

Section: Introductionmentioning

confidence: 99%

The Equation of the Contact Line of the Involute Curvilinear-Tooth Cylindrical Gear Pump for the Agricultural Tractor

Jiang¹,

Hou²,

Zhao³

2014

TOMEJ

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Abstract:In order to derive the equation of the contact line of the involute curvilinear-tooth cylindrical gear pump for the agricultural tractor, the tooth surface of the involute curvilinear-tooth cylindrical gear is firstly generated as that of the spur or helical gear. Then the equation of the tooth surface is derived from changing the settings and orientations of the coordinate systems after the equation of the tooth profile in an arbitrary radial section is calculated by the methods of differential geometry. Based on the equation of the tooth surface, the meshing equation of the two gears is further acquired and then the equation of the contact line. Finally, the tooth surface and the contact line are simulated with mathematical software. The results suggests that the contact line between two curvilinear-tooth cylindrical gears is an arc line in the surface of action; and this line, shaped as an arc line in the generating plane of the tooth surface, is longer than that of the spur or helical gear with the same face width.

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Contact characteristics of cylindrical gears with curvilinear shaped teeth

Cited by 51 publications

References 9 publications

Method of Processing and an Analysis of Meshing and Contact of Circular Arc Tooth Trace Cylindrical Gears

Method of Processing and an Analysis of Meshing and Contact of Circular Arc Tooth Trace Cylindrical Gears

The Mesh Characteristics of Arch Cylindrical Gear and Its Digitization Analysis

The Equation of the Contact Line of the Involute Curvilinear-Tooth Cylindrical Gear Pump for the Agricultural Tractor

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