On Transmission Zeros of Mass-Dashpot-Spring Systems

[+] Author and Article Information
Jong-Lick Lin

Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan 701

J. Dyn. Sys., Meas., Control 121(2), 179-183 (Jun 01, 1999) (5 pages) doi:10.1115/1.2802452 History: Received March 10, 1998; Online December 03, 2007


For a noncollocated mass-dashpot-spring system with B = CTΓ, a novel approach is proposed to gain a better insight into the fact that none of its transmission zeros lie in the open right-half of the complex plane. In addition, the transmission zeros have physical meanings and will simply be the natural frequencies of a substructure constrained in the equivalently transformed system. Moreover, it is also shown that transmission zeros interlace with poles along the imaginary axis for a mass-spring system with B = CTΓ. They also interlace with poles along the negative real axis for a mass-dashpot system with B = CTΓ. Finally, two examples are used to illustrate the interlacing property.

Copyright © 1999 by The American Society of Mechanical Engineers
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