Research on Thermal Distribution Characteristics of Motorized Spindle System Based on Fractal Theory

doi:10.3901/JME.2021.13.063

Abstract

Abstract: The mathematical properties of continuity, self-similarity and self-affinity of microscopic contact surfaces are described in the Weierstrass-Mandelbrot (W-M) function of fractal theory, and thermal contact resistance (TCR) between circular-arc contact surfaces under three deformation states (elastic, elastic-plastic and plastic state) are considered. Based on the fractal theory, the thermal resistance network model of the high speed motorized spindle system is established and the thermal distribution characteristics of the motorized spindle system is studied. The heat balance equations are listed for the key nodes of the motorized spindle system, and the steady and transient temperature of the nodes are analyzed. The accuracy of TCR between the circular-arc contact surfaces is verified by the fractal parameter identification experiment and heat conduction experiment. The accuracy of the thermal resistance network model is verified by the temperature rise experiment of the motorized spindle system. The results show that the temperature of each component of the motorized spindle system rises rapidly in a certain period of time and then tends to be stable. At the same time, the increase of the fractal dimension D will lead to the decrease of the node temperature; the increase of the fractal-amplitude coefficient G will cause an increase in the temperature of the motorized spindle system.

Key words: high speed motorized spindle, fractal theory, thermal distribution characteristics, thermal resistance network, thermal contact resistance

CLC Number:

TH117
TH161

MENG Qingyu, LIU Yang, YAN Xinxin, MA Yaxin, LI Yanzhen. Research on Thermal Distribution Characteristics of Motorized Spindle System Based on Fractal Theory[J]. Journal of Mechanical Engineering, 2021, 57(13): 63-69.

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