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基于分形理论的结合面静摩擦因数改进模型
引用本文:兰国生,张学良,丁红钦,温淑花,张宗阳,卢青波. 基于分形理论的结合面静摩擦因数改进模型[J]. 农业机械学报, 2012, 43(1): 213-218
作者姓名:兰国生  张学良  丁红钦  温淑花  张宗阳  卢青波
作者单位:1. 太原科技大学机械工程学院,太原,030024
2. 太原科技大学机械工程学院,太原030024;郑州职业技术学院电气电子工程系,郑州450121
基金项目:国家自然科学基金资助项目(50775153);山西省回国留学人员科研资助项目(2011—076)
摘    要:从理论上提出了一种基于分形理论的结合面静摩擦因数改进模型,表示出结合面静摩擦因数与无量纲法向总载荷之间非线性隐函数关系。仿真结果表明,静摩擦因数f随着法向总载荷P*和材料特性参数φ的增加而增加,随分形特征尺度参数G*的增加而减小,静摩擦因数f与法向总载荷P*呈微凸弧非线性关系;分形维数D在1.1~1.4范围内,静摩擦因数f随着D的增加而增加,在1.5~1.9范围内,静摩擦因数f随着D的增加而减小;研究表明该模型可以用于进行结合面静摩擦因数的预测。

关 键 词:结合面  分形理论  静摩擦因数  改进模型

Modified Model of Static Friction Coefficient of Joint Interfaces Based on Fractal Theory
Lan Guosheng,Zhang Xueliang,Ding Hongqin,Wen Shuhu,Zhang Zongyang and Lu Qingb. Modified Model of Static Friction Coefficient of Joint Interfaces Based on Fractal Theory[J]. Transactions of the Chinese Society for Agricultural Machinery, 2012, 43(1): 213-218
Authors:Lan Guosheng  Zhang Xueliang  Ding Hongqin  Wen Shuhu  Zhang Zongyang  Lu Qingb
Affiliation:Taiyuan University of Science and Technology;Taiyuan University of Science and Technology;Taiyuan University of Science and Technology;Taiyuan University of Science and Technology;Taiyuan University of Science and Technology;Taiyuan University of Science and Technology;Zhengzhou Technical College
Abstract:A modified fractal model of static friction coefficient of joint interfaces based on normal load model and modified size distribution is proposed.Furthermore,numerical simulation was carried out to obtain the complicated nonlinear relations.The results showed that the static friction coefficient versus the micro convex nonlinear relation with the normal load and increased with the normal load and material property increase,decreased with fractal characteristic length scale parameter G*,but complicatedly with D.This is explained that the modified model could be used to analyze and predict static friction coefficient.
Keywords:Joint interfaces  Fractal theory  Static friction coefficient  Modified model
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