The Free-Interface Method of Component Mode Synthesis for Systems with Viscous Damping

Ni Zhen-hua; Huang Shang-heng; Wang Yi-cai

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(2): 173-180

Ni Zhen-hua, Huang Shang-heng, Wang Yi-cai. The Free-Interface Method of Component Mode Synthesis for Systems with Viscous Damping[J]. Applied Mathematics and Mechanics, 1992, 13(2): 173-180.

Citation:

Ni Zhen-hua, Huang Shang-heng, Wang Yi-cai. The Free-Interface Method of Component Mode Synthesis for Systems with Viscous Damping[J]. Applied Mathematics and Mechanics, 1992, 13(2): 173-180.

Citation:

Ni Zhen-hua, Huang Shang-heng, Wang Yi-cai. The Free-Interface Method of Component Mode Synthesis for Systems with Viscous Damping[J]. Applied Mathematics and Mechanics, 1992, 13(2): 173-180.

PDF( 2632 KB)

The Free-Interface Method of Component Mode Synthesis for Systems with Viscous Damping

Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an

Received Date: 1990-09-10
Publish Date: 1992-02-15

Abstract

Abstract

This paper presents a new free-interface method of component mode synthesis for linear systems with arbitrary viscous damping.The left and right projection matrices described by state-variable vectors are first introduced for components with rigid-body freedom.The operator function of projection matrices for state displacement and state force is proved, and then the state residual flexibility matrix and the state residual inertia--relief attachment more are defined and employed. The results of three examples demonstrate that the method proposed in this paper leads to very accurate system eigenvalues and high mode-synthesis efficiency.
- viscously damped systems,
- component mode synthesis,
- projection matrix

FullText(HTML)

References(8)

References

[1]	Beliveau,J.G.and Y.Soucy,Damping synthesis using complex substructure modes and a Hermitian system representation,Proc.AIAA/ASME/ASCE/AHS 26th Structures,Structural Dynamics,and Materials Conference,AIAA,New York(1985),581-586.
[2]	Hasselman,T.K.and A.Kaplan,Dynamic analysis of large systems by complex mode synthesis,J.Dynamic Systems,Measurement,and Control.96,G(1974),327-333.
[3]	Howsman,T.G.and R.R.Craig,A substructure coupling procedure applicable to general linear time-invariant dynamic systems,Proc.AIAA/ASME/ASCE/AHS 25th Structures,Structural Dynamics,and Materials Conference,AIAA,New York(1984),164-171.
[4]	Craig.R.R.and Z.H.Ni,Component mode synthesis for model order reduction of nonclassically damped systems,J.Guidance,Control,and Dynamics,12(1989),577-584.
[5]	Chen,C.T.,Linear System Theory andDesign,Holt,Rinehart and Winston,New York(1984).
[6]	Craig,R.R.,Structural Dynamics——An Introduction to Computer Methods,Wiley,New York(1981).
[7]	ddy,Dynamic buckling ofisotropicand orthotropic shallow spherical cap with circular hole,Internat.J.Mech.Sci.,21(1979),681-688.
[8]	倪振华、王一采、黄上恒、状态剩余模态在粘滞阻尼系统模态综合中的应用,《第四届全国振动理论及应用学术会议论文集》(上)(1990),526-534.