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《Engineering Mechanics》 2013-09
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PARAMETRIC VIBRATION OF AXIALLY ACCELERATING RECTANGULAR PLATE IN TRANSVERSE MAGNETIC FIELD

HU Yu-da;SUN Jian-tao;ZHANG Jin-zhi;Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province,Yanshan University;  
The magneto-elastic parametric vibration problem of an axially moving current-conducting rectangular thin plate with pulsating speed in magnetic field was investigated.Based on the expressions of kinetic energy,strain energy and electromagnetic forces,the magneto-elastic parametric vibration equations of an axially moving rectangular thin plate were deduced by using Hamilton principle.Considering the problem of parametric vibration of an axially moving rectangular thin plate on simple supports with pulsating speed in transverse magnetic field,based on the displacement mode hypothesis,Mathieu equation contains two variable coefficients was obtained by using Galerkin method.Based on Floquet theory,by using averaging method,the stability of periodic solution of parametric vibration system was analyzed and the critical condition of stability was determined.By the numerical examples,the stability diagram and the vibration response diagram of parametric vibration system were obtained.The influence of axially moving velocity parameter on the vibration response and the stability of solution were analyzed.The results show that response curves correspond to the region of stable solution present periodic motion or quasi-periodic motion,while the region of unstable solution presents divergence form.
【Fund】: 河北省自然科学基金项目(E2010001254)
【CateGory Index】: O322
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 HU Yu-da,LI Bai-zhou(School of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,China);THE SUBHARMONIC RESONANCE OF CURRENT-CONDUCTING THIN PLATE IN LONGITUDINAL MAGNETIC FIELD[J];Engineering Mechanics;2011-02
2 Chen Shuhui~2) Huang Jianliang (Department of Applied Mechanics and Engineering,Zhongshan University,Guangzhou 510275,China);ON INTERNAL RESONANCE OF NONLINEAR VIBRATION OF AXIALLY MOVING BEAMS[J];Acta Mechanica Sinica;2005-01
3 Liu Yanqi~(2)) Zhang Wei Gao Meijuan Yang Xiaoli (College of Mechanical Engineering,Beijing University of Technology,Beijing 100022,China);TRANSVERSE NONLINEAR NONPLANAR DYNAMICS OF AN AXIALLY MOVING VISCOELASTIC BELT WITH INTEGRAL CONSTITUTIVE LAW[J];Chinese Journal of Theoretical and Applied Mechanics;2008-03
4 YANG Xiao-dong ~1, CHEN Li-qun~2,3(1.Department of Engineering Mechanics, Shenyang Institute of Aeronautical Engineering,Shenyang 110034, P.R.China;2.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P.R.China;3.Department of Mechanics, Shanghai University, Shanghai 200444, P.R.China);DYNAMIC STABILITY OF AXIALLY MOVING VISCOELASTIC BEAMS WITH PULSATING SPEED[J];应用数学和力学(英文版);2005-08
5 HU Yu-da~1 LI Jing~(1,2) (1.School of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,P.R.China;2.Tangshan College,Tangshan,Hebei 063000,P.R.China);Magneto-Elastic Combination Resonances Analysis of Current-Conducting Thin Plate[J];Applied Mathematics and Mechanics;2008-08
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CHEN Li_qun(Dept. of Mechanics,Shanghai University,Shanghai 200436,China);Chaos and its controling attitude motion of a magnetic rigid spacecraft in an arbitrary elliptic orbit[J];Journal of Anshan University of Science and Technology;2003-04
2 Tian Guo-rui(Department of physics,Yangzhou College of Education,Yangzhou Jiangsu 225002,China);Discussions about System with Quadratic Nonlinearity[J];Journal of Anshan Normal University;2007-02
3 SONG Zhen-yu,YU Hong(Key Laboratory of MEMS of Ministry of Education,Southeast University,Nanjing 210096,China);Dynamic Analysis for Nonlinear Vibration of Nanobeam[J];Micronanoelectronic Technology;2006-03
4 YIN Wan-jian~(1,2),YANG Shao-pu~3,SHEN Yong-jun~3,GUO Jing-bo~3 (1.School of Mechanical,Electronic and Control Engineering,Beijing Jiaotong University,Beijing 100044,China;2.Xingtai Vocational Technical College,Xingtai Hebei 054035,China;3.Institute of Transportation Environment and Safety Engineering Shijiazhuang Railway Institute,Shijiazhuang 050043,China);Research on Vibration Model and Stiffness Performance of Air Spring Suspension[J];Journal of Beijing Jiaotong University;2006-01
5 SHI Yue-dong1,WANG De-shi1(Department of Weaponry Engineering,Naval University of Engineering,Wuhan 430033,Hubei,China);Study on Vibration Characteristics of Barrel Subjected to Moving Projectile Considering Inertia Effect[J];Acta Armamentarii;2011-04
6 YANG Bing1,LU Li-xin1,2(1.Jiangnan University,Wuxi 214122,China;2.China National Control and Test Center for Packaging Quality,Wuxi 214122,China);Nonlinear Vibration of Packaging System under Foundation Displacement Excitation[J];Packaging Engineering;2008-02
7 GUO Xing-hui~1 WANG Yan-qing~1 Li Bing~1 YAN Yun-hui~2 (1.School of Sciences,Northeastern University,Shenyang 110004,China; 2.School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110004,China.;Nonlinear Vibration Response of Combination Cantilever Plates[J];Journal of Northeastern University(Natural Science);2008-03
8 LIU Xiao-jun1,2,CHANG Ying-xiang2,LI Xian-feng2(1.School of Mathematics and Statistics,Tianshui Normal College,Tianshui 741001,China;2.School of Mathematics Physics & Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Delayed feedback control the chaos of the Sprott N system with parameter[J];Journal of Northeast Normal University(Natural Science Edition);2008-02
9 HU Yu-da,LI Bai-zhou(College of Architectural Engineering and Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,China);Harmonic resonance of current-conducting thin plate in longitudinal magnetic field[J];Journal of Yanshan University;2011-03
10 MI Xiao-zhen,FAN Ling-jv,PIAO Ming-wei,ZHAO Wen-zhong(School of Traffic and Transportation Engineering,Dalian Jiaotong University,Dalian 116028,China);Influences of Wheel-Rail Matching on High-Speed EMU Dynamical Performances[J];Journal of Dalian Jiaotong University;2009-04
China Proceedings of conference Full-text Database 9 Hits
1 WANG Bo School of Mechanical Engineering,Shanghai Institute of Technology,Shanghai 200235,China;Stability analysis of axially accelerating viscoelastic beam subject to disturbing tension[A];[C];2011
2 Yang Xiaodong Department of Engineering Mechanics,Shenyang Institute of Aeronautical Engineering;Free Vibrations of Moving Angle-Ply Composite Plates[A];[C];2007
3 Yang Yong-feng, Ren Xing-min, Qin Wei-yang (Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072 China);Effect of Different Numerical Methods to Solve the Nonlinear Response[A];[C];2007
4 ZHAO Zi-hui, XIE Yong-hui (School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an, 710049, China);Numerical Study on Contact Impact Vibration Characteristic of Blade with Damped Shroud[A];[C];2007
5 Wang Bo1 Chen Liqun1,2 Tan Weijuan3 (1. Shanghai institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China) (2. Department of Mechanics, Shanghai University, Shanghai 200444, China) (3. Xi’an Aeronautical Polytechnic Institute Department of Aircraft Maintenance engineering, Xi’an 710089, China);AXIALLY MOVING BEAMS:INTEGRO-PARTIAL-DIFFERENTIAL NONLINEAR SUMMATION PARAMETIC RESONANCE[A];[C];2009
6 FANG Wei-qi,WANG Ke-jun (Xi'an Electronic Engineering Research Institute,Xi'an 710100,China);Analysis of Electronic Architecture Vibration Control[A];[C];2011
7 HU Yu-da,ZHANG Yi-ying(Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province,Yanshan University,Qinhuangdao,Hebei 066004,China);ANALYSIS OF MAGNETO-ELASTIC PRINCIPAL RESONANCE OF AXIALLY MOVING STRIP PLATE IN MAGNETIC FIELD[A];[C];2012
8 Guo Xiaolei Cao Pingxiang (Nanjing Forestry University,Nanjing 210037,Jiangsu,China);The Study on the Self-excited Vibration of Circular Sawblades[A];[C];2007
9 Liu Qiang (College of Engineering Technology,Jimei university,Fujian,Xiamen 361021);Response Analysis of Asymmetrical Hysteretic nonlinear System[A];[C];2010
【Secondary Citations】
Chinese Journal Full-text Database 9 Hits
1 Chen Shuhui Huang Jianliang She Jinyan ( Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275, China) ( Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China);STUDY ON THE LATERALLY NONLINEAR VIBRATION OF AXIALLY MOVING BEAMS[J];Journal of Dynamics and Control;2004-01
2 HU Tu-da (Department of Mechanics, Tianjin university, Tianjin 300072);MAGNETO-ELASTIC NONLINEAR VIBRATION ANALYSIS OF A THIN CONDUCTIVE PLATE[J];Engineering Mechanics;2001-04
3 CHEN Li-Qun1,2 , WU Zhe-min2 (1. Department of Mechanics, Shanghai University, Shanghai 200436; 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072);AMPLITUDE-FREQUENCY CHARACTERISTICS OF NONLINEAR VIBRATION OF A SERPENTINE BELT DRIVE SYSTEM[J];Engineering Mechanics;2003-01
4 YANG ZhiAn1,2 LI WenLan3(1.Tangshan College,Tangshan 063000,China)(2.Key Laboratory of Structural and Vibration Engineering of Tangshan,Tangshan 063000,China)(3.Library,Tianjin University,Tianjin 300072,China);SUBHARMONIC RESONANCE OF RECTANGULAR THIN PLATE WITH FOUR SIDES FREE ON WINKLER FOUNDATION AND ITS SINGULARITY ANALYSIS[J];Journal of Mechanical Strength;2007-02
5 Feng Zhihua Hu HaiyanInstitute of Vibration Engineering Researeh, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, China;DYNAMIC STABILITY OF A SLENDER BEAM WITH INTERNALRESONANCE UNDER A LARGE LINEAR MOTION[J];Acta Mechanica Sinica;2002-03
6 Chen Shuhui~2) Huang Jianliang (Department of Applied Mechanics and Engineering,Zhongshan University,Guangzhou 510275,China);ON INTERNAL RESONANCE OF NONLINEAR VIBRATION OF AXIALLY MOVING BEAMS[J];Acta Mechanica Sinica;2005-01
7 HU Yu-da~1,QIU Jia-jun~2,TA Na~2(1. School of Civil Engineering and Mechanics, Yanshan University,Qinhuangdao 066004, P. R. China;2. Department of Mechanics, Tianjin University,Tianjin 300072, P. R. China);Fundamental Resonance and Bifurcation of Large Generator End Winding When Its Clamping Plates Are Loose[J];Applied Mathematics and Mechanics;2005-04
8 HU Yu-da~1 LI Jing~(1,2) (1.School of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao,Hebei 066004,P.R.China;2.Tangshan College,Tangshan,Hebei 063000,P.R.China);Magneto-Elastic Combination Resonances Analysis of Current-Conducting Thin Plate[J];Applied Mathematics and Mechanics;2008-08
9 Chen Liqun (Department of Mechanics,Shanghai University,Shanghai 200436 Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 200072);ENERGY AND CONSERVATION FUNCTIONAL FOR TRANSVERSE NONLINEAR VIBRATION OF AN AXIALLY MOVING STRING[J];Journal of Vibration and Shock;2002-02
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