Analysis of Time-Varying Meshing Parameters for Spiral Bevel Gear Based on Sub-Clearance Function

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (4) : 153-157.

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Analysis of Time-Varying Meshing Parameters for Spiral Bevel Gear Based on Sub-Clearance Function

LIU Zhi-feng, GUO Chun-hua, YANG Wen-tong, CAI Li-gang, ZHANG Zhi-min

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Abstract

Meshing parameters which include stiffness and damping are key factors of nonlinear vibration for spiral bevel gear. Considering the time-varying characteristics of meshing stiffness and meshing damping, developing as second-order Fourier series, vibration equation of spiral bevel gear was established. Based on the variation of clearance function under different meshing state, the effect of meshing stiffness and meshing damping on spiral bevel gear under three meshing state was studied. Using Matlab to analysis, the vibration displacement curves of meshing point was given when mean meshing damping, harmonic meshing damping, fundamental harmonic meshing stiffness and sub-harmonic meshing stiffness are considered. The results show that increasing mean meshing damping and decreasing fundamental harmonic meshing stiffness could decrease vibration displacement peak and improve transmission stability.

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Spiral bevel gear / Time-varying damping / Time-varying stiffness / Clearance function / Vibration displacement curves

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LIU Zhi-feng;GUO Chun-hua;YANG Wen-tong;CAI Li-gang;ZHANG Zhi-min . Analysis of Time-Varying Meshing Parameters for Spiral Bevel Gear Based on Sub-Clearance Function[J]. Journal of Vibration and Shock, 2013, 32(4): 153-157