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Research Papers

Contact Characteristics of Circular-Arc Curvilinear Tooth Gear Drives

[+] Author and Article Information
Yi-Cheng Wu

Mechanical System Research Laboratory, Industrial Technology Research Institute, Hsinchu 31040, Taiwaneasonwu@gmail.com

Kuan-Yu Chen

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu 30010, Taiwancky.me92g@nctu.edu.tw

Chung-Biau Tsay1

Department of Mechanical Engineering, Minghsin University of Science and Technology, Hsinfong, Hsinchu 30401, Taiwancbtsay@mail.nctu.edu.tw

Yukinori Ariga

Department of Mechanical Engineering, Nippon Institute of Technology, Saitama 345-8501, Japanariga@nit.ac.jp

1

Corresponding author.

J. Mech. Des 131(8), 081003 (Jul 09, 2009) (8 pages) doi:10.1115/1.3151805 History: Received August 02, 2007; Revised April 07, 2009; Published July 09, 2009

In this paper, the circular-arc curvilinear tooth gear drive is proposed. The gear and pinion tooth surfaces are generated by two complemented circular-arc rack cutters with curvilinear tooth-traces. According to the theory of gearing, the mathematical model of the proposed gear is developed. The tooth contact analysis technique is utilized to investigate the kinematical errors of circular-arc curvilinear tooth gear drives under different assembly errors. Contact patterns of the circular-arc curvilinear tooth gear drive are simulated by the developed computer-aided tooth contact analysis programs and surface topology method. Numerical examples are presented to show the kinematical errors of the circular-arc curvilinear tooth gear set under different assembly conditions. Relations among the circular-arc tooth profile, curvilinear tooth-trace, contact ratio, contact pattern, and kinematical error are also demonstrated by numerical examples.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Generating mechanism for curvilinear gears

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Figure 2

Normal cross section of the proposed circular-arc rack cutters

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Figure 3

Normal cross section of the circular-arc rack cutter Σg

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Figure 4

Relationship among coordinate systems Sc(i), Sr(i), and Sf

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Figure 5

Coordinate systems for simulation of a gear pair meshed with assembly errors

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Figure 6

Simulation of a contact ellipse (a) common tangent plane and polar coordinates; (b) measurements on surface-separation distance

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Figure 7

Kinematical errors of the gear pair with different R(i) under different assembly conditions (Rab=30mm)

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Figure 8

Kinematical errors of the gear pair with different ΔR under different assembly conditions (Rab=30mm)

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Figure 9

Kinematical errors of the gear pair with different Rab under different assembly conditions (R(p)=R(g)=80mm)

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Figure 10

Contact ellipses on the gear tooth surfaces under ideal assembly condition with different values of Rab: (a) Rab=20mm(R(g)=R(p)=40mm); (b) Rab=30mm(R(g)=R(p)=40mm); (c) Rab=40mm(R(g)=R(p)=40mm)

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Figure 11

Relationship of design parameter Rab versus the semi-major axis length of the contact ellipse

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Figure 12

Contact ellipses on the gear tooth surface with different R(i)

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Figure 13

Relationship of design parameter R(i) versus the semi-major and semi-minor axis lengths of the contact ellipse

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