On the boundedness of damped strings and beams with boundary and distributed inputs

Haiyu Zhao; Christopher D. Rahn

doi:10.1177/1077546306065397

On the boundedness of damped strings and beams with boundary and distributed inputs

Haiyu Zhao, Christopher D. Rahn

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.

Original language	English (US)
Pages (from-to)	619-633
Number of pages	15
Journal	JVC/Journal of Vibration and Control
Volume	12
Issue number	6
DOIs	https://doi.org/10.1177/1077546306065397
State	Published - Jun 2006

All Science Journal Classification (ASJC) codes

Automotive Engineering
Materials Science(all)
Aerospace Engineering
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1177/1077546306065397

Cite this

@article{609708865d434d348af6b686b503b788,

title = "On the boundedness of damped strings and beams with boundary and distributed inputs",

abstract = "This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.",

author = "Haiyu Zhao and Rahn, {Christopher D.}",

year = "2006",

month = jun,

doi = "10.1177/1077546306065397",

language = "English (US)",

volume = "12",

pages = "619--633",

journal = "JVC/Journal of Vibration and Control",

issn = "1077-5463",

publisher = "SAGE Publications Inc.",

number = "6",

}

TY - JOUR

T1 - On the boundedness of damped strings and beams with boundary and distributed inputs

AU - Zhao, Haiyu

AU - Rahn, Christopher D.

PY - 2006/6

Y1 - 2006/6

N2 - This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.

AB - This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.

UR - http://www.scopus.com/inward/record.url?scp=33744753039&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744753039&partnerID=8YFLogxK

U2 - 10.1177/1077546306065397

DO - 10.1177/1077546306065397

M3 - Article

AN - SCOPUS:33744753039

SN - 1077-5463

VL - 12

SP - 619

EP - 633

JO - JVC/Journal of Vibration and Control

JF - JVC/Journal of Vibration and Control

IS - 6

ER -

On the boundedness of damped strings and beams with boundary and distributed inputs

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this