Study on the effect of force-thermal coupling error on the gear hobbing accuracy and its visualization

  • Xianguang Li
  • Yong Yang
  • Zheng ZouEmail author
  • Feng Deng
  • Li Wang
  • Qian Tang


A force-thermal coupling error model was proposed to investigate the coupling effect of thermal error and force-induced error on the machining accuracy. Based on the developed model, numerical simulations were conducted to unveil the temperature distributions of both the assembly and the worktable, as well as corresponding displacement errors. Besides, based on the two-degrees-of-freedom hobbing locus motion, an equation to characterize the meshing relation between the hob and the workpiece was deduced with the consideration of the force-thermal coupling errors. By using this equation, an interface, which can visualize the gear hobbing process and map the force-thermal coupling error to the resultant gear profile, was developed in the MATLAB. Further comparison between experimental data and simulation results prove the credibility of our proposed method.


High-speed dry gear hobbing Force-thermal coupling Meshing equation Visual interface 


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This study is supported by China Postdoctoral Science special Foundation (2017M612920); Chongqing Outstanding Youth Scholar Special Foundation (cstc2014jcyjjq70001); Key Program of National Natural Foundation of China (51635003); and Chongqing Postdoctoral Science special Foundation (Xm2017044, Xm2017110). Chongqing Scientific and technological innovation leader project.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interests.


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© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Chongqing Machine Tool (Group) Co., Ltd.ChongqingChina
  2. 2.The State Key Laboratory of Mechanical TransmissionChongqing UniversityChongqingChina
  3. 3.Chongqing University of TechnologyChongqingChina

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