Full-Text Search：

## Statistics of Natural Frequencies for Bridge Structures

Liu Chunhua\ \ Qin Quan[Tsinghua University, Beijing, 100084]
On the basis of perturbation stochastic finite element method, the fundamental equations of eigenvalue problem for bridge structures with random parameters are derived in this paper. The structural basic design variables are discretized according to the local average random field theory. One simply-supported beam with stochastic mass density and diameter of section is demonstrated to verify the present method. Finally, the statistics of natural frequencies of Tiger Gate Bridge with a main span of 888m are calculated on the assumption that the elasticity modulus and mass density of cable and the mass density of beam are random parameters. Furthermore, the parameter analysis are performed for corresponding random variables and the effects of these variables on the inherent vibration characters of suspension bridges are discussed.
【Fund】： 攀登计划B 中国博士后科学基金
【CateGory Index】： U441.3
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
 【References】
 Chinese Journal Full-text Database 8 Hits
 1 DU Jin?sheng, QIN Quan, LIU Xi?la (Qinghua University,Beijing 100084,China);The Tool for Structural Random Response Analysis and Reliability Analysis —Stochastic Finite Element Method[J];JOURNAL OF HIGHWAY AND TRANSPORTATION RESEACH ANDK DEVELOPMENT;1999-03 2 Huang Bin (School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan, 430070);EIGENVALUES AND EIGENVECTORS OF STRUCTURES WITH RANDOM PARAMETERS[J];Acta Mechanica Solida Sinica;2005-01 3 SU Cheng*,FAN Xue-ming(School of Civil Engineering and Transportation,State Key Laboratory of Subtropical Building Science,South China University of Technology,Guangzhou 510640,China);Dynamic eigenvalue analysis of stochastic structures by the Green's method[J];Chinese Journal of Computational Mechanics;2009-03 4 WANG Shi-yu, ZHANG Ce, SONG Yi-min, YANG Tong-qiang (School of Mechanical Engineering, Tianjin University, Tianjin 300072);Statistical Analysis of the Eigenvalue of Planetary Gears[J];Mechanical Science and Technology;2005-06 5 LIU BaoGuo 1 WANG Wei 1 YIN XueGang 2 (1.Department of Mechanical and Electrical Engineering,Henan University of Technology,Zhengzhou 450052,China) (2.Department of Mechanics,College of Source and Environmental Sciences,Chongqing University,Chongqing 400044,China);EIGENVALUE PROBLEMS OF ONE DIMENSIONAL STRUCTURE WITH RANDOM PARAMETERS[J];Journal of Mechanical Strength;2004-04 6 Tian Limei, Ye Weidong (Beijing University of Aeronautics and Astronautics, Beijing 100083, China);Research on Kalman Filter in Bridge Health Monitoring System[J];Computer Automated Measurement & Control;2005-06 7 LIU Chunhua, QIN Quan Department of Civil Engineering, Tsinghua University, Beijing 100084, China;Sensitivities of natural modes of suspension bridges to structural parameters[J];JOURNAL OF TSINGHUA UNIVERSITY(SCIENCE AND TECHNOLOGY);1998-12 8 CHEN Tie bing 1, YANG Bing cheng 2, SHI Dong 1 (1. Department of Bridge Egineering, Tongji University, Shanghai 200092, China; 2. College of Highway Engineering, Xi′an Highway University, Xi′an 710064, China);Nonlinear Stochastic Static Analysis of Cable-Stayed Bridges[J];JOURNAL OF XI'AN HIGHWAY UNIVERSITY;2000-02
 【Citations】
 Chinese Journal Full-text Database 2 Hits
 1 Qin Quan(Tsinghua University);PROGRESS IN STOCHASTIC FINITE ELEMENT METHODS,PART I. DISCRETIZATION OF RANDOM FIELDS AND MOMENTS OF STRUCTURAL RESPONSES[J];ENGINEERING MECHANICS;1994-04 2 Qin Quan (Tsinghua University);PROGRESS IN STOCHASTIC FINITE ELEMENT METHODS PART Ⅱ. RELIABILITY STOCHASTIC FINITE ELEMENTS AND APPLICATION OF STOCHASTIC FINITE ELEMENT METHODS[J];ENGINEERING MECHANICS;1995-01
 【Co-citations】
 Chinese Journal Full-text Database 10 Hits
 1 LI Yong-jian,WANG Yue-xiang,QIAN Ping-yi (Wuhan University,School of Civil and Structural Engineering,Wuhan 430072,China);Research on discretion of the random field of soil mechanical parameters[J];Building Science Research of Sichuan;2002-02 2 XU Jun et al.;Reliability Response Surface FEM and Its Application in Engineering[J];Underground Space;2001-S1 3 LU Dagang,LI Xiaopeng,HU Xiaoqi,WANG Guangyuan(School of Civil Engineering,Harbin Institute of Technology,Harbin 150090,China);Nonlinear static seismic reliability analysis of steel frame structures:Ⅰ Finite element response and its sensitivity[J];Journal of Earthquake Engineering and Engineering Vibration;2007-05 4 LAU¨U1 Dagang,LI Xiaopeng,HU Xiaoqi,WANG Guangyuan(School of Civil Engineering,Harbin Institute of Technology,Harbin 150090,China);Nonlinear static seismic reliability analysis of steel frame structures II: Reliability index and its sensitivity[J];Journal of Earthquake Engineering and Engineering Vibration;2008-01 5 HAN Da-jian , CHEN Tai-cong , SU Cheng (Department of Civil Engineering, South China University of Technology, Guangdong Guangzhou 510640);DIGITAL SIMULATION IN ANALYSIS OF STOCHASTIC STRUCTURES: AN ARTIFICIAL NEURAL NETWORK APPROACH[J];Engineering Mechanics;2004-03 6 Cui Haitao (Department of Power Engineering,Nanjing University of Aeronautics & Astronautics, Nanjing 210016) Peng Zhaoxing (Northeastem University,Shenyang:110006);STOCHASTIC ANALYSIS OF A BEAM UNDER RANDOM LOAD[J];ENGINEERING MECHANICS;1998-03 7 LI Shao-long1,YANG Jin-zhong2,ZHANG Jia-fa1(1.Key Laboratory of Geotechnical Mechanics and Engineering of the Ministry of Water Resources,Yangtze River Scientific Research Institute,Wuhan 430010,China;2.National Key Laboratory of Water Resources andHydropower Engineering Sciences,Wuhan University,Wuhan 430072,China);Application of Karhunen-Loeve Expansion in Stochastic Analysis of Seepage Field[J];Journal of Yangtze River Scientific Research Institute;2009-10 8 Su Cheng Xu Rui Fan Xue-ming(State Key Laboratory of Subtropical Building Science,South China University of Technology,Guangzhou 510640,Guangdong,China);Local Average Method Based on Curved-Side Elements for Discretization of 2D Random Fields[J];Journal of South China University of Technology(Natural Science Edition);2008-03 9 Ma Haiquan Wen Weidong Cui Haitao （Nanjing University of Aeronautics and Astronautics，Nanjing 210016）;Object－oriented Programming of Stochastic Finite Element Method[J];Computer Engineering and Applications;2001-16 10 NI Xin\|hua, LU Xiao\|bo, LIU Yun\|ting (Mechanical Engineering College, Shijiazhuang 050003, China);Finite element method of the bending beam with stochastic rigidity[J];Chinese Journal of Computational Mechanics;2000-04
 China Proceedings of conference Full-text Database 2 Hits
 1 Liu Chunhua Qin Quan (Department of Civil Engineering Tsinghua University Beijing 100084);STATISTICS OF NATURAL FREQUENCIES FOR BRIDGE STRUCTURES[A];[C];1998 2 Wang Dong;Chen Jian-kang;Wang Qi-zhi College of Water Resource and Hydraulic Engineering, Sichuan University, Chengdu, China 610065;THE NEW METHOD OF STRUCTURAL RELIABILITY ANALYSIS BY MONTE-CARLO STOCHASTIC FINITE ELEMENT BASED ON NEUMANN EXPANSION TECHNIQUE AND IMPORTANT SAMPLING[A];[C];2004
 【Co-references】
 Chinese Journal Full-text Database 10 Hits
 1 Zhao Zhanchao; Chen Yingjun(Department of Civil Engineering, Northern Jiaotong University, Beijing 100044);Damage Detection, Location and Estimation for Trusses[J];JOURNAL OF NORTHERN JIAOTONG UNIVERSITY;1996-02 2 Xu Maozeng (Management Engineering Department);Fault Detection and Diagnosis of the National Economic System (Ⅱ): the Sturctral Fault Detection with Apptications[J];Journal of Chongqing Jiaotong University;1992-01 3 Lin Mei\ Xiao Shengxie (Department of Bridge Engineering,Chongqing Jiaotong Institute,400074);A Discussion on Vibration Analysis Theories of Highway Bridges and Vehicles[J];JOURNAL OF CHONGQING JIAOTONG INSTITUTE;1998-03 4 Li Jiasheng(Basic Courses Department)Yu Jinhui(Hunan Province Quality Check Centre);A STUDY OF DIAGNOSING ENGINEERING STRUCTURE DAMAGE WITH OPTIMUN APPROXIMATION METHOD[J];JOURNAL OF CHANGSHA COMMUNICATIONS UNIVERSITY;1996-03 5 YU Xiang dong, CHEN Zheng qing (Civil Architectural Engineering College, Changsha Railway University, Changsha 410075, China);An Energy Method Used to Calculate the Stability Safety Coefficient of Towers of Cable Stayed Bridges[J];JOURNAL OF CHANGSHA RAILWAY UNIVERSITY;2000-01 6 Li Jie (Institute of Earthquake Engineering & Disaster Control,Chemical Industry Ministry,Zhengzhou 450002. China);EXPANDED ORDER SYSTEM METHOD OF STOCHASTIC STRUCTURES ANALYSIS, Part 2: DYNAMIC ANALYSIS OF STRUCTURES[J];Earthquake Engineering and Engineering Vibration;1995-04 7 Sun Jinghui, Zhang Jiucheng, Li Bozhong (Dept. of Powering Engineering, DUT);Analysis of models for torsional vibration of shaft system with epicyclic gear trains[J];Journal of Dalian University of Technology;1991-05 8 ZHONG Wan\|xie, LIN Jia\|hao, WU Zhi\|gang, SUN Dong\|ke, ZHANG Ya\|hui ( State Key Lab. of Struct. Anal. for Ind. Equip., Dalian Univ. of Technol., Dalian 116024, China );Development of analytical method for long\|span bridges[J];JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY;2000-02 9 ZHAO Guo fan, GONG Jin xin, ZHAO Shang chuan ( Dept. of Civil Eng., Dalian Univ. of Technol., Dalian 116024, China );Developments of reliability research for civil engineering structure in China[J];JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY;2000-03 10 Shi Zhiyu 1 Zhang Lingmi 1 Lu Lingyi 2 ( 1Department of Aircraft Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016) ( 2College of Civil Engineering, Southeast University, Nanjing 210096);Improved Structural Damage Detection Method Based on Modal Strain Energy[J];JOURNAL OF SOUTHEAST UNIVWRSITY(NATURAL SCIENCE EDITION);2000-03
 【Secondary References】
 Chinese Journal Full-text Database 10 Hits
 1 XU Jun et al.;Reliability Response Surface FEM and Its Application in Engineering[J];Underground Space;2001-S1 2 Tao Hai, Jia Yanmin(Northeast Forestry University, Harbin 150040, P. R. China);The Exploitation of Automatic Assessing System for Carrying-capacity of Concrete Bridge[J];Journal of Northeast Forestry University;2002-01 3 SHILei~*,LIUChun-cheng,ZHANGZhe,DUPeng-juan ( Res. Inst. of Bridge, Dalian Univ. of Technol., Dalian 116024, China );Nonlinear stochastic static analysis of long-span suspension bridge[J];Journal of Dalian University of Technology;2004-03 4 YE Yi,ZHANG Zhe,XIA Guo-ping,LI Tian-fei(School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116023,China);Random Analysis of Dynamic Characteristics of Self-Anchored Cable-Stayed Suspension Bridge[J];Highway;2010-08 5 ZHU Wei-zhi,ZHANG Zhe,PAN Sheng-shan(The Institute of Bridge Engineering,Dalian University of Technology,Dalian 116024,China);Nonlinear stochastic static analysis of long span self-anchored cable-stayed suspension bridge[J];Journal of Dalian University of Technology;2010-06 6 SHI Lei,MIAO Feng,ZHANG Zhe(School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116023,China);Nonlinear Random Static Analysis of Cable-Stayed and T-Framed Bridge[J];Highway;2010-11 7 Qiang Xu2Jianyun Chen1,2Jing Li2Shuli Fan2(1 State Key Lab.of Coastal and Offshore Eng.,Dalian University of Technology,Dalian,116023)(2 School of Civil and Hydraulic Eng.,Dalian University of Technology,Dalian,116023);PROBABILITY DENSITY EVOLUTION PROCESS ANALYSIS ABOUT THE DAMAGE OF GRAVITY DAM BASED ON PERTURBATION THEORY[J];Chinese Journal of Solid Mechanics;2011-02 8 CHEN Tie-bing~1,TAN Ye-ping~2(1.School of Architecture and Environment Engineering,Shenzhen Polytechnic,Guangdong Shenzhen 518055,P.R.China;2.College of Architecture and Civil Engineering,Shenzhen University,Guangdong Shenzhen 518060,P.R.China);Stochastic Static Analysis of Cable-Stayed Bridges Including Geometrical Nonlinearity Based on Artificial Neural Network[J];Journal of Chongqing Jianzhu University;2006-04 9 SU Cheng*,FAN Xue-ming(School of Civil Engineering and Transportation,State Key Laboratory of Subtropical Building Science,South China University of Technology,Guangzhou 510640,China);Dynamic eigenvalue analysis of stochastic structures by the Green's method[J];Chinese Journal of Computational Mechanics;2009-03 10 Shi Wenhai1,2)Li Zhengnong2)Huang Bin3)(School of Architecture and Civil Engineering,Wenzhou University,Wenzhou 325035)1)(College of Civil Engineering,Hunan Univ,Changsha 410082)2)(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430074)3);Buckling Eigenvalue of Structures with Random Parameters under Several Probability Distributions[J];Journal of Wuhan University of Technology(Transportation Science & Engineering);2007-02
 China Proceedings of conference Full-text Database 1 Hits
 1 ;Dynamics of Increasing Planetary Gear Trains Influenced by Parameters[A];[C];2009
Similar Journals
 > Industrial Construction > Journal of Nanjing University of Aeronautics & Astronautics > Chinese Journal of Geotechnical Engineering > Journal of Mechanical Strength > Journal of Zhejiang University(Engineering Science) > Zhejiang Hydrotechnics > Advances in Mechanics > Journal of Mechanical Transmission > China Journal of Highway and Transport > Acta Aeronautica Et Astronautica Sinica