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Analysis of nonlinear twisting vibration characteristics of orthogonal curve-face gear drive

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Abstract

Considering input shaft and output shaft excitation, the time-varying meshing stiffness, static transmission error and gear backlash, a nonlinear dynamic model of the twisting vibration of the orthogonal curve-face gear transmission was established, and the nonlinear vibration differential equation was listed. Using the forth-order Runge–Kutta numerical integral method to solve the equation with MATLAB, the dynamic response of orthogonal curve-face gear transmission was obtained. By analyzing the response images, the impact of different meshing frequency was summarized. Different meshing frequencies lead to different dynamic responses, including single-cycle response, 9-cycle response, quasi-periodic and chaotic response. When the gear backlash changes, the vibration amplitude of the system also changes.

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Acknowledgments

The authors appreciate their supports from the National Natural Science Foundation of China (51275537).

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Authors and Affiliations

  1. The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400044, People’s Republic of China

    Chao Lin, Yi Liu & Sijia Gu

Authors
  1. Chao Lin
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  2. Yi Liu
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  3. Sijia Gu
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Corresponding author

Correspondence to Chao Lin.

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Technical Editor: Fernando Alves Rochinha.

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Lin, C., Liu, Y. & Gu, S. Analysis of nonlinear twisting vibration characteristics of orthogonal curve-face gear drive. J Braz. Soc. Mech. Sci. Eng. 37, 1499–1505 (2015). https://doi.org/10.1007/s40430-014-0296-y

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  • DOI: https://doi.org/10.1007/s40430-014-0296-y

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