干气密封动静环摩擦界面热弹法向接触刚度分形模型

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (14) : 257-263.

论文

陈金林1，丁雪兴1，张伟政1，严如奇2，孙宝财1,2

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

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

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摘要

基于分形理论，根据重新建立的微凸体接触模型，并考虑微凸体弹性变形以及热应力变形，建立了干气密封两摩擦界面热弹性法向接触刚度计算模型，并对其影响因素进行了数值分析。研究结果表明：热法向接触刚度、弹性法向接触刚度均随无量纲真实接触面积、分形维数增大而增大，而随特征尺寸增大而减小，其中分形维数、特征尺寸对弹性法向接触刚度影响较为显著；摩擦因数对热法向接触刚度和弹性法向接触刚度的影响相反，摩擦因数增大，热法向接触刚度变大，而弹性法向接触刚度变小；热法向接触刚度随着转速以线性方式增大。摩擦界面热弹法向接触刚度分形模型的建立与分析，将为研究考虑热效应的干气密封摩擦振动奠定一定基础。

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.

导出引用

陈金林1，丁雪兴1，张伟政1，严如奇2，孙宝财1,2. 干气密封动静环摩擦界面热弹法向接触刚度分形模型[J]. 振动与冲击, 2020, 39(14): 257-263

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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