Fractal prediction model for the thermo-elastic normal contact stiffness of frictional interfaces in dry gas seals

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (14) : 257-263.

CHEN Jinlin1， DING Xuexing1， ZHANG Weizheng1, YAN Ruqi2, SUN Baocai1,2 

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Abstract

Based on the fractal theory and a re-established contact model of micro-convex bodies, and considering the elastic deformation and thermal stress deformation of micro-convex bodies, a calculation model for the thermal-elastic normal contact stiffness on two-frictional interfaces of a dry gas seal was established.Meanwhile, a numerical analysis on the key factors influencing the normal contact stiffness was conducted.The results indicate that the fractal dimension and characteristic dimension have significant impact on the thermal and elastic normal contact stiffnesses.Generally, both the thermal and elastic normal contact stiffnesses increase with the rise of the dimensionless real contact area and fractal dimension.At the same time, they both decrease as the characteristic dimension is raised.With the increase of friction coefficient, the thermal normal contact stiffness increases, while the elastic normal contact stiffness decreases.Additionally, the thermal normal contact stiffness is found to have a linear increase with the rotational speed.The establishment and analysis of the fractal model for the thermal-elastic normal contact stiffness on frictional interfaces provide guidelines for the further investigation on the friction vibration of dry gas seals under thermal effect.

Key words

dry gas seal / frictional interface / fractals / thermal stress / normal contact stiffness / numerical analysis

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CHEN Jinlin1， DING Xuexing1， ZHANG Weizheng1, YAN Ruqi2, SUN Baocai1,2 . Fractal prediction model for the thermo-elastic normal contact stiffness of frictional interfaces in dry gas seals[J]. Journal of Vibration and Shock, 2020, 39(14): 257-263

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