Research on Axisymmetric Vibration of Gear with Stepped Variable Thickness

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Abstract:

Ultrasonic gear honing is a kind of precision processing technology with great application prospect. The gear is a special kind of load in ultrasonic machining, and its vibration characteristic and natural frequency has great influence on processing frequency of the system. According to the structure characteristic of the gear with stepped variable thickness, its equations of axisymmetric bending vibration frequency were derived on the basis of the thick plate theory in this paper, and then the gear’s natural frequency is obtained which is in accordance with the results of FEM computation. Besides, the main factors affecting the calculation accuracy are analyzed with some examples in this paper The analysis shows that within the application range of Mindlin’s plate theory, the gears’ frequency obtained by the suggested method is accurate.

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269-274

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August 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] Wang Shiying, Lv Ming, Zha Gang. Displacement Characteristics of Transverse Vibratory Disc Transformer in Ultrasonic Gear Honing[J]. China Journal of Mechanical Engineering, 2008, 44(7): 106-111.

DOI: 10.3901/jme.2008.07.106

Google Scholar

[2] Mindlin R D, Deresiewicz H. Thickness-shear and flexural vibration of circular disk. Joumal of Applied Physics. 1954, 25: 1329-(2033).

DOI: 10.1063/1.1721554

Google Scholar

[3] CortinezVH, Laura P A A. Analysis ofvibrating rectangularplates ofdiscontinuously varying thickness bymeans of theKan-torovich extendedmethod[J]. Journal ofSound and Vibration, 1990, 137(3): 457-461.

Google Scholar

[4] Zhang Yingshi, Jiang Chiping. Vibrations of stepped rectangular plates [J]. Journal of Applied Mechanics, 1998, 15(4): 109-115.

Google Scholar

[5] Huang Yuying, Liang Guangji. Axisymmetrical Bending of Circular Plates with Variable Thickness [J]. Chinese Quarterly of Mechanics, 1983 (3): 22-31.

Google Scholar

[6] Chen Dianyun, Ren Baosheng. The Natural Frequencies of Axisymmetric Vibration of Circular Plates with Arbitrarily Varying Thickness[J]. Journal of Luoyang Institute of Technology, 1998, 19(2): 86-90.

Google Scholar

[7] Chen Dianyun, Liang Bin, Yang Minxian. Natural Frequencies of Circular Annular Plates of Polar Orthotropy and Variable Thickness[J]. Engineering Mechanics, 2002, 19(6): 154-158.

Google Scholar

[8] Wu Lanhe. Differential cubature element method for free vibration analysis of moderately thick plates with discontinuities [J]. Chinese Journal of Computational Mechanics, 2004, 21(1): 121-128.

Google Scholar