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《Journal of Vibration and Shock》 2015-04
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Modal approach for vibration of a structure with local constraints

LI Jin-lu;DING Qian;Department of Mechanics,Tianjin University;Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control;  
Braking process of a brake disc is a vibration problem with local contacting,local contact has an influence on the modes and natural frequencies of the disc system. The method of local discontinuous basis function can be used to estimate the modes of the system accurately. Here,a brake disc contacted by a brake boot or a friction block was simplified as a one-dimensional beam with loop structures. Its equation of motion was established. Firstly,the free vibration modes of the beam without contact defined as the reference modes were calculated. Then the contact of the friction block was simplified as several linear springs. Using the continuous conditions,the system's modes were calculated and orthogonalized with the reference modes,they were taken as the supplements of the reference modes and named the local discontinuoas basis functions. They were used to calculate the system response. Based on the discontinuous mode analysis,vibration of the brake disk under action of external excitation is calculated. The results showed that the local discontinuous basis function method is more accurate than the traditional modal method; the local contact of the friction piece can restrain the vibration symmetry of the brake disc to lead to disappearance of sine or cosine modes; nonlinear stiffness and friction make the vibration be wave type. This study laid a foundation for studying unstable vibration mechanism of structures with friction using the local discontinuous basis function method.
【Fund】: 国家自然科学基金资助项目(11272228);; 高等学校博士学科点专项科研基金资助项目(20120032110011)
【CateGory Index】: TB53
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 LV YanJun YU Lie LIU Heng (Theory of Lubrication and Bearing Institute, Xi′an Jiaotong University, Xi′an 710049, China);DYNAMIC CHARACTERISTICS AND STABILITY OF NONLINEAR ROTOR-BEARING SYSTEM[J];Journal of Mechanical Strength;2004-03
2 YU Wei-gao,YU Xue-hua(School of Mechanical & Automotive Engineering,South China University of Technology,Guangzhou 510640,P.R.China);Analysis of Disc Brake Noise Based on Finite Element Methods[J];Science Technology and Engineering;2009-12
3 DING Qian ZHAI Hongmei Department of Mechanics, Tianjin University, Tianjin 300072, China;THE ADVANCE IN RESEARCHES OF FRICTION DYNAMICS IN MECHANICS SYSTEM[J];Advances in Mechanics;2013-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Bing1,WANG Qing-bo1,QU Bo2,ZHOU Zhi-gang1,2,CONG Qian1(1.College of Biological and Agricultural Engineering,Jilin University,Changchun 130022,China; 2.Electromechanical Equipment Ltd of Jilin University,Changchun 130022,China);The Nose Analysis of Disc Brake Based on Ansys Soft[J];Journal of Guizhou University(Natural Sciences);2012-03
2 Hongwei Zhang;Tienchong Chang;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University;;RECENT PROGRESS IN ATOMIC-SCALE FRICTION[J];Chinese Journal of Solid Mechanics;2014-05
3 QIAO WeiDong 1 MA Wei 2 LIU HongZhao 1 LI YuXia 2 (1.School of Machinery and Precision Instrument Engineering, Xi′an University of Technology,Xi′an 710048,China) (2.School of Water Resources and Hydroelectric Power, Xi′an University of Technology,Xi′an 710048,China);ANALYSIS OF COUPLING DYNAMIC BEHAVIORS FOR ROTOR BEARING SYSTEM OF HYDROELECTRIC MACHINES BASED ON NONLINEAR DYNAMICS MODEL[J];Journal of Mechanical Strength;2005-03
4 DENG WangQun1,2 GAO DePing1 GUO FeiYue2(1.College of Energy and Power Engineering, Nanjing University of Aeronautics andAstronautics,Nanjing 210016,China)(2.China Aviation Powerplant Research Institute,Zhuzhou 412002,China);EXPERIMENT RESEARCH OF HIGH SPEED DYNAMIC BALANCE OF A POWER TURBINE MODULE OF AEROENGINE[J];Journal of Mechanical Strength;2007-03
5 LI YuanSheng LI Lei AO LiangBo KANG ZhaoHui YUE ZhuFeng(Department of Engineering Mechanics,Northwestern Polytechnincal University,Xi′an 710129,China);ANALYSIS OF THE THREE-DIMENSIONAL ROTOR DYNAMICS CHARACTERISTIC OF THE TURBOCHARGER[J];Journal of Mechanical Strength;2011-02
6 DING Qian ZHAI Hongmei Department of Mechanics, Tianjin University, Tianjin 300072, China;THE ADVANCE IN RESEARCHES OF FRICTION DYNAMICS IN MECHANICS SYSTEM[J];Advances in Mechanics;2013-01
7 Wang Gengxiang;Liu Hongzhao;School of mechanical and Precision Instrument Engineering Xi'an University of Technology;;RESEARCH PROGRESS OF JOINT EFFECTS MODEL IN MULTIBODY SYSTEM DYNAMICS[J];Chinese Journal of Theoretical and Applied Mechanics;2015-01
8 Zhang Li1,Gu Zhengqi2,1,Li Weiping1,Liang Xiaobo3 & Peng Guopu3 1.Hunan University,State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Changsha410082; 2.Hunan University of Technology,Zhuzhou412007; 3.Xiangtan Electric Manufacturing Group Heavy-duty Equipment Co.,Ltd.,Xiangtan411100;Simulation and Analysis on Disc Brake Vibration Based on Rigid-Flexible Coupling[J];Automotive Engineering;2011-03
9 CHENG Mei,MENG Guang,JING Jian-ping(State Key Lab.of Mechanical System and Vibration,Shanghai Jiaotong Univ.,Shanghai 200240,China);The Nonlinear Dynamical Behaviors of a Rotor-Bearing-Seal System[J];Journal of Shanghai Jiaotong University;2007-03
10 BAO Wen-boa,LI Naa,WANG Feng-xiangb(a.School of Architecture and Civil Engineering,b.School of Electrical Engineering,Shenyang University of Technology,Shenyang 110178,China);Nonlinear dynamic characteristics of magnetic suspended rotor system[J];Journal of Shenyang University of Technology;2008-04
China Proceedings of conference Full-text Database 1 Hits
1 Gangtie Zheng~1 and Minghui Liu~2 (School of Aerospace,Tsinghua University,Beijing 100084,China)~1 (Beijing Institute of Spacecraft Environment Engineering,Beijing 100094,China)~2;Progress in Compoment Mode Synthesis Researches and Applications[A];[C];2011
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 Lezin Seba MINSILI, ZHONG Tie yi, XIA He (College of Civil Engineering and Architecture, Northern Jiaotong University,Beijing 100044,China);Study of Friction Damper for Vibration Mitigation of Structures[J];JOURNAL OF NORTHERN JIAOTONG UNIVERSITY;2000-01
2 WANG Yi,HE Zhen,WANG Guang-xiong (School of Astronautics,Harbin Institute of Technology,Harbin 150001,China);A practical friction model[J];Electric Machines and Control;2011-08
3 GUAN Di-hua , SU Xin-dong (Department of Automotive Engineering, State Key laboratory of Automobile Safety and Energy Conservation, Tsinghua University, Beijing 100084, China);AN OVERVIEW ON BRAKE VIBRATIONS AND NOISE[J];Engineering Mechanics;2004-04
4 DING Wang-cai , ZHANG You-qiang , ZHANG Qing-shuang (School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China);NONLINEAR DYNAMIC ANALYSIS OF VIBRATE SYSTEM WITH DRY FRICTION[J];Engineering Mechanics;2008-10
5 JIA Shang-shuai1,2,DING Qian1,2(1.Department of Mechanics,Tianjin 300072,China;2.Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,Tianjin 300072,China);FRICTION-INDUCED SELF-EXCITED VIBRATION AND CONTROL OF A BRAKE SYSTEM[J];Engineering Mechanics;2012-03
6 CHEN Jian-feng,LIU Hao,TAO Guo-liang(State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,China);Experiment on friction characteristics of pneumatic cylinders base on LuGre model[J];Journal of Lanzhou University of Technology;2010-03
7 ZHANG Rui-ting~1,ZHAO Yun-sheng~2 (1.CSR Sifang Locomotives & Rolling stock Co.,Ltd.,Qingdao 266111,China; 2.CNR Sifang Rolling Stock Research Institute, Qingdao 266031, China);Damping and Noise Reduction Technology for High Speed Trains[J];Foreign Rolling Stock;2005-02
8 TAN Wen-bin1,LI Xing-fei1,XIANG Hong-biao2,ZHU Jia1,ZHANG Chen-yang3(1.State Key Laboratory of Precision Measuring Technology and Instruments,Tianjin University,Tianjin 300072,China;2.School of Mechanical Engineering,Tianjin University of Technology,Tianjin 300384,China;3.School of Mechanical Engineering,Tianjin University of Commerce,Tianjin 300131,China);Parameter identification of LuGre model based on analysis of steady state error[J];Optics and Precision Engineering;2011-03
9 SHAN Ying-chun,HAO Yan-ping,ZHU Zi-gen,YAN Li-tang (4th Dept.,Beijing University of Aeronautics and Astronautics,Beijing100083,China);Application and Development of Platform Friction Damper for depressing Resonant Vibration of Blades[J];Journal of Aerospace Power;2001-03
10 MA Xiao qiu,WANG Qin meng,ZHANG Jin,CHENG Tao Beijing University of Aeronautics and Astronautics,Beijing 100083,China;Dynamic Analysis of Bladed Disc Systems with Vibrational Dampers[J];Journal of Aerospace Power;2002-01
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