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Effect analysis of friction and damping on anti-backlash gear based on dynamics model with time-varying mesh stiffness

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Abstract

A nonlinear model of anti-backlash gear with time-varying friction and mesh stiffness was proposed for the further study on dynamic characteristics of anti-backlash gear. In order to improve the model precision, applied force analysis was completed in detail, and single or double tooth meshing states of two gear pairs at any timing were determined according to the meshing characteristic of anti-backlash gear. The influences of friction and variations of damping ratio on dynamic transmission error were analyzed finally by numerical calculation and the results show that anti-backlash gear can increase the composite mesh stiffness comparing with the mesh stiffness of the normal gear pair. At the pitch points where the frictions change their signs, additional impulsive effects are observed. The width of impulsive in the same value of center frequency is wider than that without friction, and the amplitude is lower. When gear pairs mesh in and out, damping can reduce the vibration and impact.

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Authors and Affiliations

  1. School of Mechatronics and Automation, National University of Defense Technology, Changsha, 410073, China

    Zheng Yang  (杨政), Jian-zhong Shang  (尚建忠) & Zi-rong Luo  (罗自荣)

Authors
  1. Zheng Yang  (杨政)
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  2. Jian-zhong Shang  (尚建忠)
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  3. Zi-rong Luo  (罗自荣)
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Corresponding author

Correspondence to Jian-zhong Shang  (尚建忠).

Additional information

Foundation item: Project(51175505) supported by the National Natural Science Foundation of China

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Yang, Z., Shang, Jz. & Luo, Zr. Effect analysis of friction and damping on anti-backlash gear based on dynamics model with time-varying mesh stiffness. J. Cent. South Univ. 20, 3461–3470 (2013). https://doi.org/10.1007/s11771-013-1870-7

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  • DOI: https://doi.org/10.1007/s11771-013-1870-7

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