Research on Vibration Responses of Gear System with Backlash

  • Zheng Feng BaiEmail author
  • Xin Jiang
  • Fei Li
  • Ji Jun Zhao
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1060)


Gear transmission system is widely used in mechanical systems, such as joints in manipulator system. However, the vibration and noise caused by the backlash in gear pair are significant to the manipulator system. The effects of backlash on vibration characteristics the gear-rotor system are investigated numerically. First, the dynamic model of gear system is established considering the variable meshing stiffness and damping. Then, the dimensionless method is used and the dimensionless differential equations are obtained and then calculated numerically. Finally, a numerical example is presented to study the effects of backlash on the vibration of the gear-rotor system. The results indicate that the vibration characteristics of gear mechanism with backlash are significant, which will provide the basis for the design and control of manipulator system.


Backlash Gear system Dynamics modeling Numerical simulation Nonlinear vibration 



This work was supported by the National Natural Science Foundation of China (Grant Nos. 51775128, 51305093) and the Scientific Research Innovation Foundation of Weihai, China.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Zheng Feng Bai
    • 1
    • 2
    Email author
  • Xin Jiang
    • 1
  • Fei Li
    • 2
  • Ji Jun Zhao
    • 2
  1. 1.Department of Astronautics EngineeringHarbin Institute of TechnologyHarbinPeople’s Republic of China
  2. 2.Department of Mechanical EngineeringHarbin Institute of TechnologyWeihaiPeople’s Republic of China

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