临界接触参数连续的粗糙表面法向接触刚度弹塑性分形模型

王南山;张学良;兰国生;温淑花;陈永会;刘丽琴;牛作证

振动与冲击 ›› 2014, Vol. 33 ›› Issue (9) : 72-77.

PDF(1494 KB)
PDF(1494 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (9) : 72-77.
论文

临界接触参数连续的粗糙表面法向接触刚度弹塑性分形模型

  • 王南山,张学良,兰国生,温淑花,陈永会,刘丽琴,牛作证
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Critical Contact Parameters Continuous for Elastoplastic Fractal Model of Normal Contact stiffness of Rough Surfaces

  • Zhang Xue-liang Wang Nan-shan Lan Guo-sheng Wen Shu-hua Liu Li-qing Niu Zuo-zheng
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摘要

基于MB接触分形理论及其修正模型,在弹性和塑性接触变形机制基础上,考虑弹塑性过渡变形机制,建立了临界接触参数连续条件下的计及微接触面积分布域扩展因子影响的粗糙表面法向接触刚度弹塑性分形模型;数值仿真结果表明:弹塑性过渡变形机制对法向接触刚度影响明显,且考虑弹塑性过渡变形机制下的法向接触刚度大于仅考虑弹性和塑性接触机制下的对应法向接触刚度;无量纲法向接触刚度随着无量纲法向接触载荷的增大而增大且因分形维数取值不同而呈凸弧性的非线性关系(分形维数D=1.1~1.4)或近似线性关系(分形维数D=1.4~1.9),随着分形维数的增大而增大(分形维数D=1.1~1.5)及分形维数的增大而减小(分形维数D=1.5~1.9),随着分形粗糙度的增大而减小,随着塑性指数的增大而增大。

Abstract

Based on MB fractal model and its modified model, on the foundation of elastic and plastic regime, and considering the elastoplastic regime, an elastoplastic fractal model of normal contact stiffness of rough surfaces, which is continuous for critical contact parameters and considers the influence of domain extension factor, was proposed. Numerical simulation results show elastoplastic regime has an obvious effect on normal contact stiffness and dimensionless normal contact stiffness of elastoplastic fractal model is much more than that of only considering elastic and plastic regime; dimensionless normal contact stiffness increases with the increment of dimensionless normal load but the varying tendency is convex nonlinear(when fractal dimension D=1.1~1.4) or near linear(when fractal dimension D=1.4~1.9), increases(when fractal dimension D=1.1~1.5) or decreases(when fractal dimension D=1.5~1.9) with the increment of fractal dimension, decreases with the increment of fractal roughness, and increases with the increment of plastic index.

关键词

结合面 / 法向接触刚度 / 弹塑性 / 分形模型

Key words

Joint interfaces / Normal contact stiffness / Elastoplastic / Fractal mode

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王南山;张学良;兰国生;温淑花;陈永会;刘丽琴;牛作证. 临界接触参数连续的粗糙表面法向接触刚度弹塑性分形模型[J]. 振动与冲击, 2014, 33(9): 72-77
Zhang Xue-liang Wang Nan-shan Lan Guo-sheng Wen Shu-hua Liu Li-qing Niu Zuo-zheng. Critical Contact Parameters Continuous for Elastoplastic Fractal Model of Normal Contact stiffness of Rough Surfaces [J]. Journal of Vibration and Shock, 2014, 33(9): 72-77

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