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TECHNICAL BRIEFS

Interlacing Properties for Mass-Dashpot-Spring Systems With Proportional Damping

[+] Author and Article Information
Jong-Lick Lin

National Cheng Kung University, Tainan 701, Taiwan, Republic of China

Kuo-Chin Chan

Department of Engineering Science, National Cheng Kung University

Jyh-Jong Sheen

Department of Mechanical and Marine EngineeringNational Taiwan Ocean University, Keelung 202, Taiwan, Republic of China

Shin-Ju Chen

Department of Electrical Engineering, Kun Shan University of Technology, Yungkang 710, Taiwan, Republic of China

J. Dyn. Sys., Meas., Control 126(2), 426-430 (Aug 05, 2004) (5 pages) doi:10.1115/1.1650384 History: Received February 07, 2002; Revised August 29, 2003; Online August 05, 2004
Copyright © 2004 by ASME
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References

Rosenbrock, H. H., 1970, State-Space and Multivariable Theory, Wiley-Interscience, New York.
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Figures

Grahic Jump Location
Case α1α2<1: (a) imaginary axis in the ξ-plane, (b) corresponding locus in the s-plane
Grahic Jump Location
Case α1α2≥1: (a) imaginary axis in the ξ-plane, (b) corresponding locus in the s-plane
Grahic Jump Location
Pole distribution of a mass-dashpot-spring system with D=α1M
Grahic Jump Location
Pole distribution of a mass-dashpot-spring system with D=α2K
Grahic Jump Location
Interlacing of poles and zeros along the circle and the negative real axis
Grahic Jump Location
Interlacing of poles and zeros along the s=−0.7 axis
Grahic Jump Location
Interlacing of poles and zeros along the circle and the negative real axis

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