Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Scicentiarum Naturalum Universitis Pekinesis》 1987-03
Add to Favorite Get Latest Update

On the Sufficient and Necessary Conditions for the Discoupling of the Pencil of Complex Mode Matrices in a Complex Space

Yu Niancai, Chen Decheng, Zheng Wangeri Department of Mechanics, Peking University. Nanjing Turbine and Motor Factory, Nanjing.  
In this paper the complex eigenspace properties of the pencil of complex mode matrices of a viscous damping discrete linear vibration system and the relations between the system damping, stiffness and mass matrix are discussed. The sufficient condition for a slightly damping system is provided and proved. In particilar, the sufficient and necessary conditions for the discoupling of the pencil of complex mode matrices in a complex space are proved and also, by giving counter example, it is proved that when the damping system has multiple eigenvalues the corresponding eig-ensubspace possibly have deficient dimention.In this paper some physical explanations are also given as well as strict mathematical proof.
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 2 Hits
1 Hu Hai-chang;ON THE VIBRATION OF LINEAR DAMPED SYSTEMS[J];Acta Mechanica Solida Sinica;1980-01
2 Zhang Azhou Zhu Demao;Vibration Analysis of Damped System[J];Journal of Nanjing University of Aeronautics & Astronautics;1983-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Chen Liqun(Dept.of Mechanical Engineering);On Generalization of the Complex Modal Analysis Method[J];JOURNAL OF ANSHAN INSTITUTE OF IRON AND STEEL TECHNOLOGY;1995-04
2 Chang Zhenggui; Chen Xuebi (Dept.of Automation);True-Basic Realization of Unbalanced Compensating Matrices Fitting[J];JOURNAL OF ANSHAN INSTITUTE OF IRON AND STEEL TECHNOLOGY;1996-03
3 Wang Chenjiu ;Chen Xuebo; Chang Zhenggui(President Office) (Dept.of Electronic Engineering);Contraction-Mapping and Singularvalue Analysis of Multivariable Systems[J];JOURNAL OF ANSHAN INSTITUTE OF IRON AND STEEL TECHNOLOGY;1996-06
4 SI Cai-ying (Zhejiang Vocational and Technical Institute of Transportation, Hangzhou 311112, China);A Recurrence Method of Grades for Left Pseudo Inverse and Right Pseudo Inverse[J];Journal of Baoding University;2008-02
5 Yang Zhongpeng(Department of Mathematics);Solutions of Consistent Right Linear Equations over the Quaternion Field[J];;1996-02
6 Zhao Yongdong Huang Lin (Mechanics Department);The Singular-Value Decomposition of Linear Bounded Compact Operator on l~2 and Its Application[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1988-01
7 WU Jike ZHOU Kun (Department of Mechanics, Peking University);Numerical Computation for High Dimension Hopf Bifurcation[J];Acta Scicentiarum Naturalum Universitis Pekinesis;1993-05
8 YU Xuegang\ HUANG Lin (Dept.of Mechanics & Engineering Science,Peking Uni versity,Beijing\ 100871);Some Geometrical Properties of Stable Matrix Families[J];ACTA SCICENTIARUM NATURALUM UNIVERSITIS PEKINESIS;1999-05
9 Cheng Peng;THE CANONICAL FORM OF LINEAR CHARACTERISTIC SYSTEMS[J];Journal of Beijing University of Aeronautics and Astronautics;1989-01
10 Yue Guojin Yan Litang;THE PROPERTIES AND APPLICATIONS OF MODAL THEORY IN ROTOR DYNAMICS[J];Journal of Beijing University of Aeronautics and Astronautics;1989-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Hu Hai-chang;ON THE VIBRATION OF LINEAR DAMPED SYSTEMS[J];Acta Mechanica Solida Sinica;1980-01
2 Ni Jingfu Zhang Azhou;On the Complex Mode Theory[J];Journal of Nanjing University of Aeronautics & Astronautics;1982-S2
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved