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Technical Briefs

Spiral Bevel Gear Dynamic Contact and Tooth Impact Analysis

[+] Author and Article Information
Pei-Yu Wang1

Department of Mechanical Design Engineering,  National Formosa University, No. 64, Wenhua Rd., Huwei Township, Yun-lin County 632, Taiwanwangpy@nfu.edu.tw

Sih-Ci Fan

Institute of Mechanical and Electro-Mechanical Engineering,  National Formosa University, No. 64, Wenhua Rd., Huwei Township, Yun-lin County 632, Taiwan

Zi-Gui Huang

Department of Mechanical Design Engineering,  National Formosa University, No. 64, Wenhua Rd., Huwei Township, Yun-lin County 632, Taiwanzghuang0119@nfu.edu.tw

1

Corresponding author.

J. Mech. Des 133(8), 084501 (Aug 10, 2011) (6 pages) doi:10.1115/1.4004544 History: Received December 13, 2010; Revised June 27, 2011; Published August 10, 2011; Online August 10, 2011

A significant portion of the research on spiral bevel gear focused on contact stress and assembly flexibility (V and H check) values, while only a few studies investigated the relationship between transmission errors and rotational speed. This paper addresses and discusses an approach for 3D dynamic contact and impact analysis of spiral bevel gear drives. Dynamic models considering friction, gear clearance, and time-varying stiffness were established. Finite element software was utilized to analyze the dynamic responses of gear transmission, surface contact stress, and root bending stress of a spiral bevel gear pair. The dynamic model simulated the vibration behavior of an actual gear set under dynamic loading. The dynamic responses of the spiral bevel gear drives were obtained under differential rotational speeds of the driver and the driven resistance. The stiffness and elastic deformation of gear teeth were calculated using the finite element method with actual geometry and gear positions. After the impact analysis, the numerical simulation results of transient and steady-state transmission errors are obtained simultaneously. Using the fast Fourier transform method, frequency spectrums of the transient and steady states of the calculated transmission errors are obtained to enable the gearbox designer to avoid the resonance zone.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Coordinate systems applied to the basic Cartesian-type hypoid generating machine

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Figure 2

The head cutter blades

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Figure 3

Finite element model of a spiral bevel gear drive

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Figure 4

The results of a load-strain diagram of material SCM415 using a tensile test

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Figure 5

Definition of the rotational angle

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Figure 6

Path of contact and transmission errors on rigid gear tooth surfaces

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Figure 7

The continuous contact zone moving photographs during the meshing process

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Figure 8

Dynamic transmission error curve with 4000 rpm

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Figure 9

The relationship between steady-time and rotation speed

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Figure 10

Frequency responses of dynamic transmission error curves on stable states with 2000, 4000, and 6000 rpm

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Figure 11

The location of elements with maximum effective stress during the meshing process

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Figure 12

Effective stress distribution of the elements shown in Fig. 1

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