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Comparisons of gear dynamic responses with rectangular mesh stiffness and its approximate form

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Abstract

The mesh stiffness is close to rectangular stiffness, and the first harmonic approximate term of rectangular stiffness is generally adopted in the nonlinear gear dynamic analysis. The differences between the rectangular stiffness and its approximate form are analyzed in detail. The frequency response and dynamic factor are calculated by a numerical method, to illustrate the dynamic characteristics of the gear nonlinear system with different mesh stiffness forms. The results show that: The trends of frequency response of gear dynamic system with rectangular stiffness and its approximate form are identical. The jump phenomena are detected in both cases. Without the effect of static transmission error, the dynamic factor with rectangular mesh stiffness is larger than that with approximate mesh stiffness. Under design power and speed condition, the result with approximate mesh stiffness function may deduce reasonless suggestions for a designer. The static transmission error will enlarge the vibration amplitude and dynamic factor when the approximate mesh stiffness is adopted, but the effects on the response of gear system with rectangular mesh stiffness are fractional. The mesh stiffness may excite the odd subharmonic resonance, and the static transmission error may excite the even sub-harmonic resonance respectively.

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Authors and Affiliations

  1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha Hunan, 410083, China

    Siyu Chen, Jinyuan Tang & Zehua Hu

Authors
  1. Siyu Chen
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  2. Jinyuan Tang
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  3. Zehua Hu
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Correspondence to Jinyuan Tang.

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Recommended by Associate Editor Eung-Soo Shin

Siyu Chen is a lector in State Key Laboratory of High Performance Complex Manufacturing of mechanical and electrical engineering at the Central South University in China. After a Master degree in Mechanical Engineering obtained in 2007, he achieves a Ph.D thesis at the Central South University in 2012. His research interests include gear design and its dynamics, nonlinear dynamics of complex system.

Zehua Hu is currently a Ph.D. candidate student in school of mechanical and electrical engineering at the Central South University in China. His research interests include nonlinear dynamics, numerical simulation and vibration control.

Jinyuan Tang is a Professor in State Key Laboratory of High Performance Complex Manufacturing of mechanical and electrical engineering at the Central South University in China. Since 2012, he is the head of the State Key Laboratory of High Performance Complex Manufacturing and his research interests include gear design and manufacturing, numerical simulation.

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Chen, S., Tang, J. & Hu, Z. Comparisons of gear dynamic responses with rectangular mesh stiffness and its approximate form. J Mech Sci Technol 29, 3563–3569 (2015). https://doi.org/10.1007/s12206-014-1101-7

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  • DOI: https://doi.org/10.1007/s12206-014-1101-7

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