Stability of damped membranes and plates with distributed inputs

Haiyu Zhao; Christopher D. Rahn

doi:10.1016/j.jsv.2006.11.026

Stability of damped membranes and plates with distributed inputs

Haiyu Zhao, Christopher D. Rahn

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

6 Scopus citations

Abstract

This paper proves the stability of boundary and distributed damped membranes and Kirchhoff plates under distributed inputs. Distributed viscous or Kelvin-Voigt damping ensures a weakly bounded response to a bounded transverse loading for pinned membranes and clamped plates. Damping on part of the boundary can also weakly stabilize the forced response, provided the damped and undamped boundary normals satisfy certain conditions. For example, damping on half and one side of the boundary is sufficient for circular and rectangular domains, respectively.

Original language	English (US)
Pages (from-to)	564-576
Number of pages	13
Journal	Journal of Sound and Vibration
Volume	302
Issue number	3
DOIs	https://doi.org/10.1016/j.jsv.2006.11.026
State	Published - May 8 2007

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/j.jsv.2006.11.026

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abstract = "This paper proves the stability of boundary and distributed damped membranes and Kirchhoff plates under distributed inputs. Distributed viscous or Kelvin-Voigt damping ensures a weakly bounded response to a bounded transverse loading for pinned membranes and clamped plates. Damping on part of the boundary can also weakly stabilize the forced response, provided the damped and undamped boundary normals satisfy certain conditions. For example, damping on half and one side of the boundary is sufficient for circular and rectangular domains, respectively.",

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AB - This paper proves the stability of boundary and distributed damped membranes and Kirchhoff plates under distributed inputs. Distributed viscous or Kelvin-Voigt damping ensures a weakly bounded response to a bounded transverse loading for pinned membranes and clamped plates. Damping on part of the boundary can also weakly stabilize the forced response, provided the damped and undamped boundary normals satisfy certain conditions. For example, damping on half and one side of the boundary is sufficient for circular and rectangular domains, respectively.

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ER -

Stability of damped membranes and plates with distributed inputs

Abstract

All Science Journal Classification (ASJC) codes

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