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An optimization method for thermal behavior of high-speed spindle of gear form grinding machine

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Abstract

In order to minimize the thermal elongation of high-speed spindle of gear form grinding machine, an optimization method for thermal behavior is proposed in this paper. The influence of constrained modes of bearings on the positional accuracy of the spindle is discussed, and the optimum constrained mode is obtained. An objective function of thermal contact resistance is established according to the semi-empirical formula to optimize the routes of heat transfer in the spindle assemblies through the constrained optimization method. The simulation and experimental results show that the temperature rise of the grinding wheel shaft and its associated components are all very small, and the thermal elongation of the grinding wheel shaft is about zero.

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Abbreviations

A :

contact area (m2)

E :

elasticity modulus (GPa)

H :

hardness

h :

heat transfer coefficient (W/(m2·K))

k :

tuned average thermal conductivity (W/(m·K))

L :

length of each component (m)

M :

friction torque (N mm)

N :

speed (rpm)

p :

contact pressure (MPa)

Q :

heat (W)

q :

heat flux (W/m2)

R λ :

thermal resistance (K/W)

R c :

thermal contact resistance (m2 K/W)

r :

radius (mm)

T cc :

contact thermal conductivity (W/(m2·K))

\( \varDelta \overline{T} \) :

average temperature rise (°C)

t w :

temperature (°C)

vs :

linear velocity (m/s)

α T :

thermal expansion coefficient (1/°C)

δ :

thermal elongation (m)

ε :

interference amount (mm)

σ :

root-mean-square value of surface roughness

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Funding

This paper is sponsored by the important National Science & Technology Specific Projects of “Top Grade CNC Machine Tools and Basic Manufacturing Equipment” (No. 2011ZX04003-031); the “Technology of on-line monitoring system for thermal characteristics of NC machine tools” (No. H2019304021); and the “Project funded of Shanghai science committee- Precision technology and its application for five-axis machine tool based on the real-time compensation” (NO. J16022).

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai, China

    Kaiguo Fan, Rui Gao, Hao Zhou & Yong Zhao

  2. Qinchuan Machine Tool & Tool (Group) Corp, Shanxi, China

    Sha Tian & Ying Xie

Authors
  1. Kaiguo Fan
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  2. Rui Gao
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  3. Hao Zhou
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  4. Yong Zhao
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  5. Sha Tian
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  6. Ying Xie
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Correspondence to Kaiguo Fan.

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Fan, K., Gao, R., Zhou, H. et al. An optimization method for thermal behavior of high-speed spindle of gear form grinding machine. Int J Adv Manuf Technol 107, 959–970 (2020). https://doi.org/10.1007/s00170-020-05095-2

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  • DOI: https://doi.org/10.1007/s00170-020-05095-2

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