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《Journal of Vibration and Shock》 2007-01
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INTERVAL ANALYSIS FOR NATURAL FREQUENCIES OF AN UNCERTAIN STRUCTURE BASED ON TRANSFER MATRIX METHOD

Zhang Jianguo,Chen Jianjun,Huang Jufeng(School of Electromechanical Engineering,Xidian University,Xi'an 710071)  
Based on transfer matrix method,a generalized interval equation of natural frequencies of a chain type structure is obtained by using interval numbers to represent its uncertain structural parameters.An intervaldiscretizing step by step method is presented to solve the obtained nonlinear interval equation.Using this method,each uncertain parameter is given one value for an interval divided,so that the solution of an interval equation is changed to the certain normal one.And then the bounds of each natural frequency of the system are determined by searching for the maximum and minimum of the solutions.Two examples of chain structures with uncertain parameters are given and the calculated results show that this method is correct and efficient for natural frequency analysis.
【Fund】: 国防预研基金(51421060505DZ0155);; 陕西省自然科学基金(2002A14)资助
【CateGory Index】: O327
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【References】
Chinese Journal Full-text Database 1 Hits
1 RONG Rui-ya1,WU Guo-rong1,HE Zeng2(1.School of Navel Architecture and Civil Engineering,ZheJiang Ocean University,Zhoushan 316004,China;2.College of Civil Engineering & Mechanics,Huazhong University of Science & Technology,Wuhan 430074,China);INTERVAL STEPPED DIVIDING METHOD FOR DYNAMIC RESPONSES OF UNCERTAIN STRUCTURES[J];Journal of Vibration and Shock;2008-04
【Citations】
Chinese Journal Full-text Database 7 Hits
1 Wang Denggang~(*1), Li Jie~2(1.School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, China;2.Department of Building Engineering, Tongji University, Shanghai 200092, China);A new method for computing the eigenvalues bounds of structures with interval parameters[J];Chinese Journal of Computational Mechanics;2004-01
2 LIU Kaiguo (Central-South Architectural Design Institute, Wuhan 430071, China);THE TRANSFER MATRIX METHOD FOR VARIABLE SECTION FRAMED-TUBE STRUCTURES[J];Mechanics and Engineering;2004-04
3 Sun Shixiang Xia Ji (Southwest University of Science and Technology,Mianyang,China,621002);ANALYZING OF THE TRANSFER - MATRIX OF THE TORSIONAL VIBRATION SYSTEM WITH CONSECUTIVE - MASS[J];Journal of SWUST;2003-01
4 GUO Shu_xiang 1, L Zhen_zhou 2 (1 Faculty of Mechanics, Engineering Institute, Air Force Engineering University, Xi'an 710038, P R China; 2 Department of Aircraft Engineering, Northwestern Polytechnical University, Xi'an 710072, P R China);Interval Arithmetic and Static Interval Finite Element Method[J];Applied Mathematics and Mechanics;2001-12
5 Xiang Yu (Guang Xi Institute of Technology);THE EXACT FORM OF TRANSFER MATRIX FOR ANALYSIS OF FREE VIBRATION OF STRUCTURES[J];JOURNAL OF VIBRATION AND SHOCK;1999-02
6 Yu Baisheng Zheng Gangtie Du Huajun (Ha'erbin Institute of Technology,Ha'erbin 150001);APPROACH OF TRANSFER MATRIX FOR FURCATED STRUCTURAL SYSTEM[J];Journal of Vibration and Shock;2003-01
7 Ma Juan Chen Jianjun Gao Wei (School of Electronic and Mechanical Engineering, Xidian University, Xi’an 710071);DYNAMIC CHARACTERISTIC ANALYSIS OF FUZZY TRUSS STRUCTURE BASED ON FUZZY FACTOR METHOD[J];Journal of Vibration and Shock;2005-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Huang Qingfeng1,2,Wang Quanfeng2,Hu Yunchang1(1.Tianjin University, Tianjin 300072,China; 2.Huaqiao University, Quanzhou 362011,China);Dynamic unloading process of actively variable stiffness structure[J];Earthquake Engineering and Engineering Vibration;2003-05
2 Xu Li~(1),Yi Weijian~(2),Wu Gaolie~2(1.Earthquake Engineering Research Test Center,Guangzhou University,Guangzhou 510405,China;2.Civil Engineering College,Hunan University,Changsha 410082,China);Parameter identification of a model concrete frame structure[J];Earthquake Engineering and Engineering Vibration;2006-04
3 FAN Wen liang , LI Zheng liang (College of Civil Engineering,Chongqing University,Chongqing 400045,China);An Accurate Expansion Method for Modes Based on the Improved First-Order Perturbation[J];Journal of Chongqing University(Natural Science Edition);2003-04
4 CAO Zong-jie,LI Wei,ZHAO Si-hong(Deptartment of Aeronautic Mechanical Engineering,Aviation University of Air Force,Changchun 130022,China);Finite Element Modelling and Response Analysis of the Aircraft ESM-Nose with Ideas[J];Aircraft Design;2008-06
5 LI Zheng-liang1 , FAN Wen-liang1 , ZHOU Zhi-xiang2 (1. Faculty of Civil Engineering, Chongqing University, Chongqing, 400045, China; 2. Chongqing JiaoTong University, Chongqing, 400074, China);THE MODE-SUPERPOSITION METHOD FOR PASSIVE ENERGY DISSIPATION STRUCTURES BASED ON PERTURBATION METHOD AND EQUIVALENT LINEARIZATION[J];Engineering Mechanics;2005-03
6 WEI Cheng-long1,2 , LI Bin1 , ZENG Qing-yuan3 (1. Department of Civil Engineering, Hunan Institute of Science and Technology, Yueyang, Hunan 414000, China; 2. School of Bridge and Structure Engineering, Changsha University of Science and Technology, Changsha, Hunan 410076, China; 3. School of Civil and Architectural Engineering, Central South University, Changsha, Hunan 410076, China);TRANSFER MATRIX METHOD CONSIDERING BOTH SHEAR LAG AND SHEAR DEFORMATION EFFECTS IN NON-UNIFORM CONTINUOUS BOX GIRDER[J];Engineering Mechanics;2008-09
7 Zhang Xiaoming Chen Yudong Chen Suhuan Pei Chunyan (Department of Mechanics, NanLing Campus, Jilin University, Changchun, 130025);INTERVAL EIGENVALUES OF CLOSED-LOOP SYSTEMS OF UNCERTAIN STRUCTURES[J];Acta Mechanica Solida Sinica;2005-02
8 Ma Juan Chen Jianjun Xie Yongqiang Chen Long(School of Electronic and Mechanical Engineering,Xidian University,Xi'an,710071);TWO FACTORS ANALYSIS METHOD OF THE DYNAMIC RESPONSE OF A FUZZY TRUSS SYSTEM UNDER A FUZZY-STOCHASTIC EXCITATION[J];Acta Mechanica Solida Sinica;2007-03
9 Long Chen Jianjun Chen Jinping Li Guoliang Liu(School of Electronic-Mechanical Engineering,Xidian University,Xi'an,710071);FEM ANALYSIS OF TRUSS STRUCTURES WITH FUZZY INTERVAL PARAMETERS[J];Chinese Journal of Solid Mechanics;2009-02
10 Luo Yanbin Xu Wei(Structural Engineering Department,Tongji University Shanghai 200092)Gong Jian Ye Keming(Shanghai Architectural Engineering General Co.Shanghai 200120);INTERVAL ANALYSIS ON WIND INDUCED RESPONSE OF INTEGRAL STEEL PLATFORM FORMWORK SYSTEM FOR SUPER HIGH BUILDINGS CONSTRUCTION[J];Industrial Construction;2006-S1
China Proceedings of conference Full-text Database 4 Hits
1 Zheng Gang-tie School of Aerospace, Tsinghua University, Beijing, 100084, China;;Advances in Spacecraft Vibration Isolation and Attenuation[A];[C];2007
2 Zhang Meiyan, Ray P. S. Han,Tang Guoan (Department of Mechanics & Engineering Science, Fudan University, Shanghai 200433);Substructure Sensitivity Synthesis with Fixed Ritz Basis[A];[C];2007
3 SU Jing-bo,WU Zhong,SHI Quan (College of Traffic,Hohai University,Nanjing 210098,China);Interval analysis of underground tunnel structure by optimization method[A];[C];2007
4 Fan Jiuming,He Xiaofeng (School of Astronautics,Harbin Institute of Technology,Harbin 150001,China);The Algorithm Research on the Dynamic Eigenvalue Vlamodel Interval Analysis[A];[C];2010
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 Zhang Yimin1,\ Liu Qiaoling1,\ Wen Bangchun2 (1Department of Mechanics, Nanling Campus, Jilin University, Changchun 130025, China; 2.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110006, China);Probability perturbation finite element method for response analysis of multi-degree-of-freedom nonlinear vibration systems with random parameters[J];Chinese Journal of Computational Mechanics;2003-01
2 Liu Ning;Lu Tairen(Hohai University ,Nanjin 210024);STOCHASTIC FEM AND ITS APPLICATIONS IN ENGINEERING[J];ADVANCES IN MECHANICS;1995-01
3 Qiu Zhiping~2 Ma Lihong Wang Xiaojun(Institute of Solid Mechanics,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);INTERVAL ANALYSIS FOR DYNAMIC RESPONSE OF NONLINEAR STRUCTURES WITH UNCERTAINTIES[J];Chinese Journal of Theoretical and Applied Mechanics;2006-05
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 LEI Zhen-yu , CHEN Qiu (Southwest Jiaotong University, Chengdu 610031);A NEW FINITE ELEMENT ANALYSIS METHOD FOR FUZZY STRUCTURES[J];Engineering Mechanics;2001-06
2 Chen Suhuan,Qiu Ziping,Song Datang,Chen Yudong;A Method for Solving Eigenvalue Problem of the Interval Matrix[J];Journal of Jilin University of Technology;1993-03
3 Qiu Zhiping;Chen Suhuan;Zhou Zhenping(Division of Applied Sciences);A New Algorithm for Standard Eigenvalue Problem Of the Symmetric Interval Matrix[J];JOURNAL OF JILIN UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE EDITION);1994-03
4 GUO Shu xiang 1, LU Zhen zhou 2, FENG Yuan \|sheng 2(1.Institute of Engineering, Air Force University of Engineering, Xi'an 710038,China; 2. Aircraft Department, Northwestern Polytechnic University, Xi'an 710072, China);A non-probabilistic model of structural reliability based on interval analysis[J];Chinese Journal of Computational Mechanics;2001-01
5 Wang Denggang~(*1),Li Jie~2(1.School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200240, China;2.Department of Building Engineering, Tongji University, Shanghai 200092, China);A reliable approach to compute the static response of uncertain structural system[J];Chinese Journal of Computational Mechanics;2003-06
6 MA Juan, CHEN Jian-jun, GAO Wei (School of Mechano-Electronic Engineering, Xidian University, Xi′an 710071);Dynamic Characteristic Analysis of Fuzzy Intelligent Truss Structures Based on Fuzzy Factor Method[J];Mechanical Science and Technology;2005-02
7 Guo Shuxiang ( Faculty of Mechanics, Air Force University of Engineering, Xi'an 710038, China ) Feng Yuansheng; Lu Zhenzhou. ( Aircraft Department, Northwestern Polytechnic University, Xi'an 710072, China );STOCHASTIC FINITE ELEMENT METHOD AND STRUCTURAL RELIABILITY[J];ADVANCES IN MECHANICS;2000-03
8 Wang GuangyuanHarbin Institute of Technology Harbin 150090, China;ON THE DEVELOPMENT OF UNCERTAINSTRUCTUAL MECHANICS[J];Advances In Mechanics;2002-02
9 La Enling (Chongqing University, Chongqing 630044, P. R. China);Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)[J];APPLIED MATHEMATICS AND MECHANICS;1997-07
10 GUO Shu_xiang 1, L Zheng_zhou 2, FENG Li_fu 1 (1 Faculty of Mechanics, Engineering Institute, Air Force University of Engineering, Xi'an 710038, P R China; 2 Department of Aircraft Engineering, Northwestern Polytechnical University, Xi'an 7;Fuzzy Arithmetric and Solving of the Static Governing Equations of Fuzzy Finite Element Method[J];Applied Mathematics and Mechanics;2002-09
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