Interlacing Properties for Mass-Dashpot-Spring Systems With Proportional DampingSource: Journal of Dynamic Systems, Measurement, and Control:;2004:;volume( 126 ):;issue: 002::page 426Author:Jong-Lick Lin
,
Professor of Engineering Science
,
Kuo-Chin Chan
,
Ph.D. Student
,
Jyh-Jong Sheen
,
Shin-Ju Chen
DOI: 10.1115/1.1650384Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A mass-dashpot-spring system with proportional damping is considered in this paper. On the basis of an appropriate nonlinear mapping and the root-locus technique, the interlacing property of transmission zeros and poles is investigated if the columns of the input matrix are in the column space generated by the transpose of the output matrix. It is verified that transmission zeros interlace with poles on a specific circle and the nonpositive real axis segments for a proportional damping system. Finally, three examples are given to illustrate the property.
keyword(s): Poles (Building) , Damping , Shock absorbers , Springs AND Theorems (Mathematics) ,
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| contributor author | Jong-Lick Lin | |
| contributor author | Professor of Engineering Science | |
| contributor author | Kuo-Chin Chan | |
| contributor author | Ph.D. Student | |
| contributor author | Jyh-Jong Sheen | |
| contributor author | Shin-Ju Chen | |
| date accessioned | 2017-05-09T00:12:36Z | |
| date available | 2017-05-09T00:12:36Z | |
| date copyright | June, 2004 | |
| date issued | 2004 | |
| identifier issn | 0022-0434 | |
| identifier other | JDSMAA-26329#426_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/129775 | |
| description abstract | A mass-dashpot-spring system with proportional damping is considered in this paper. On the basis of an appropriate nonlinear mapping and the root-locus technique, the interlacing property of transmission zeros and poles is investigated if the columns of the input matrix are in the column space generated by the transpose of the output matrix. It is verified that transmission zeros interlace with poles on a specific circle and the nonpositive real axis segments for a proportional damping system. Finally, three examples are given to illustrate the property. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Interlacing Properties for Mass-Dashpot-Spring Systems With Proportional Damping | |
| type | Journal Paper | |
| journal volume | 126 | |
| journal issue | 2 | |
| journal title | Journal of Dynamic Systems, Measurement, and Control | |
| identifier doi | 10.1115/1.1650384 | |
| journal fristpage | 426 | |
| journal lastpage | 430 | |
| identifier eissn | 1528-9028 | |
| keywords | Poles (Building) | |
| keywords | Damping | |
| keywords | Shock absorbers | |
| keywords | Springs AND Theorems (Mathematics) | |
| tree | Journal of Dynamic Systems, Measurement, and Control:;2004:;volume( 126 ):;issue: 002 | |
| contenttype | Fulltext |