Calculating Method of Surface Dissipation Factor and Normal Damping

Abstract

Abstract:

Abstract： Calculating equations of surface normal contact stiffness, loss factor and normal contact damping were explored based on the Hertz normal contact mechanics expression and the fractal geometry theory analyzing surface normal contact stiffness, by improving the previous calculating model. The results reveal that the calculating method proposed can better predict the changing laws of normal contact stiffness, loss factor and normal contact damping. The normal contact stiffness increases by decreasing the fractal roughness and increasing the normal contact load, and it increases at first and then decreases with the increase of fractal dimension. Enhancing the fractal roughness and reducing the normal contact load both make the loss factor ascend which decreases first and then increases with the increase of fractal dimension. The loss factor converges to a certain definite value as the fractal dimension approaches 2. The normal contact damping lessens first and whereafter aggrandizes with the augment of fractal dimension, and there exist two inflexions in the variable process. When the fractal dimension is smaller than the first inflection value, the normal contact damping increases with the increase of fractal roughness. When the fractal dimension is in excess of the first inflection value, the normal contact damping decreases with the increase of fractal roughness. The normal contact damping decreases with the increase of normal contact load for D≤1.4. The normal contact damping increases with the increase of normal contact load for D>1.4.

Key words: dissipation factor, normal contact damping, microasperity, elastic area, truncate area

CLC Number:

TH 113.1

TIAN Hongliang，ZHENG Jinhua，ZHAO Chunhua，ZHAO Xinze，FANG Zifan，ZHU Dalin. Calculating Method of Surface Dissipation Factor and Normal Damping[J]. Journal of Shanghai Jiaotong University, 2015, 49(05): 687-695.

References

［1］郝培，余海东，赵勇. 考虑隧道表面特性的硬岩全断面掘进装备撑靴接触界面刚度分析［J］. 上海交通大学学报，2014，48(6)：827832.

HAO Pei，YU Haidong，ZHAO Yong. Normal stiffness of tunnel surface contacting with thrusting boots of TBM with various surface characteristics［J］. Journal of Shanghai Jiaotong University，2014，48(6)：827832.

［2］庄艳，李宝童，洪军，等. 一种结合面法向接触刚度计算模型的构建［J］. 上海交通大学学报，2013，47(2)：180186.

ZHUANG Yan，LI Baotong，HONG Jun，et al. A normal contact stiffness model of the interface［J］. Journal of Shanghai Jiaotong University，2013，47(2)：180186.

［3］尤晋闽，陈天宁. 基于分形接触理论的结合面法向接触参数预估［J］. 上海交通大学学报，2011，45(9)：12751280.

YOU Jinmin，CHEN Tianning. Estimation for normal parameters of joint surfaces based on fractal theory［J］. Journal of Shanghai Jiaotong University，2011，45(9)：12751280.

［4］魏龙，刘其和，张鹏高. 基于分形理论的滑动摩擦表面接触力学模型［J］. 机械工程学报，2012，48(17)：106113.

WEI Long，LIU Qihe，ZHANG Penggao. Sliding friction surface contact mechanics model based on fractal theory［J］. Journal of Mechanical Engineering，2012，48(17)：106113.

［5］Majumdar A，Bhushan B. Fractal model of elasticplastic contact between rough surfaces［J］. Transactions of the ASME Journal of Tribology，1991，113(1)：111.

［6］Yan W，Komvopoulos K. Contact analysis of elasticplastic fractal surfaces［J］. Journal of Applied Physics，1998，84(7)：36173624.

［7］Sepehri A，Farhang K. On elastic interaction of nominally flat rough surfaces［J］. Transactions of the ASME Journal of Tribology，2008，130(1)：01101410110145.

［8］Lin L P，Lin J F. An elastoplastic microasperity contact model for metallic materials［J］. Transactions of the ASME Journal of Tribology，2005，127(3)：666672.

［9］田红亮，赵美云，郑金华，等. 新的柔性结合部法向接触刚度和接触阻尼方程［J］. 西安交通大学学报，2015，49(1)：118126.

TIAN Hongliang，ZHAO Meiyun，ZHENG Jinhua，et al. New equations of normal contact stiffness and damping for flexible joint interface［J］. Journal of Xi’an Jiaotong University，2015，49(1)：118126.

［10］田红亮，方子帆，朱大林. 赫兹点接触133年［J］. 三峡大学学报：自然科学版，2014，36(2)：8897.

TIAN Hongliang，FANG Zifan，ZHU Dalin. 133 years of Hertz point contact［J］. Journal of China Three Gorges University: Natural Sciences，2014，36(2)：8897.

［11］左婧，徐卫亚，王环玲，等. 岩石电镜扫描图像的分形特征研究［J］. 三峡大学学报：自然科学版，2014，36(2)：7276.

ZUO Jing，XU Weiya，WANG Huanling, et al. Fractal analysis of SEM image for rocks［J］. Journal of China Three Gorges University: Natural Sciences，2014，36(2)：7276.

［12］田红亮，郑金华，方子帆，等. 阻尼系统的特征［J］. 三峡大学学报: 自然科学版，2015，37(2)：7582.

TIAN Hongliang，ZHENG Jinhua, FANG Zifan, et al. Characters of damping system［J］. Journal of China Three Gorges University: Natural Sciences，2015，37(2)：7582.

［13］尤晋闽，陈天宁. 结合面法向动态参数的分形模型［J］. 西安交通大学学报，2009，43(9)：9194.

YOU Jinmin，CHEN Tianning. Fractal model for normal dynamic parameters of joint surfaces［J］. Journal of Xi’an Jiaotong University，2009，43(9)：9194.

[1]	YANG Zhen,FU Zhuang,GUAN Enguang,XU Jiannan,TIAN Shihe,ZHENG Hui. The Kinematic Analysis and Structure Optimization of MLattice Modular Robot [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1153-1159.
[2]	ZHAO Jun1,YU Haidong2. Dynamic Analysis of TwoLink Flexible Manipulators Based on the Absolute Nodal Coordinate Formulation [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1160-1165.
[3]	ZHAO Ziren1,DU Shichang1,HUANG Delin1,REN Fei2,LIANG Xinguang2. Modelling and Bottleneck Analysis of Product Quality in Transient Phase of MultiStage Manufacturing Systems Based on Markovian Chains [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1166-1173.
[4]	HUANG Xuangui. Algorithm for Relatively Small Planted Clique with Small Edge Probability [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1202-1206.
[5]	LUO Jingjinga,YU Haidonga,ZHAO Chunzhanga,b,WANG Haoa,b. Study on Motion Stability of Variable CrossSection Flexible Beams Based on the Absolute Nodal Coordinate Formulation [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1174-1180.
[6]	WANG Yibo1,HUANG Yixiang1,LI Bingchu1,LING Xiao1 ZHAO Shuai1,LIU Chengliang1,ZHANG Daqing2. An Improved Modal Simulation Method for Switched Reluctance Motor Based on Static PreComputation [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1181-1188.
[7]	ZHOU Binghai,LI Ming. Scheduling Method of Manufacturing Cells with Robot Restricted Processing [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1214-1219.
[8]	CHEN Jinping1,ZHANG Shusheng1,HE Weiping1,WANG Mingwei1,HUANG Hui2. Feasible Change Path Search and Optimization Method Based on Driving Parameter Modeling [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1220-1227.
[9]	ZHOU Penghui,MA Hongzhan,CHEN Dongping,CHEN Mengyue,CHU Xuening. Identification of Product Redesign Modules Based on Fuzzy Random Failure Mode and Effects Analysis [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1189-1195.
[10]	PENG Cheng,ZHU Jianyun,CHEN Li. Mode Transition for a Hybrid Electric Vehicle Based on Model Reference Control [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1196-1201.
[11]	LIU Wei,YANG Chao . A Study on Injection Mould Part Quotation Model Based on Back Propagation Neural Network [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1207-1213.
[12]	CHEN Suting，WANG Zhuo，WANG Qi. Aerial Scene Classification Based on Nonlinear Scale Space [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1228-1234.
[13]	CHEN Ning,HE Xiaobin,GUI Weihua,YANG Chunhua. Research on Image Encryption System Based on Chaotic Discrete Sequence [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1273-1280.
[14]	LIU Kaia，ZHANG Liminb，ZHOU Lijuna. Design of Random Restricted Boltzmann Machine Group [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1235-1240.
[15]	ZHU Xinyao1，SONG Baowei2,XU Gang1,YANG Songlin1. Research on Landing Strategy and Influencing Factors of an Autonomous Underwater Vehicle with Supporting Mechanism [J]. Journal of Shanghai Jiaotong University, 2017, 51(10): 1241-1251.