Modal Analysis of Kelvin Viscoelastic Solids Under Arbitrary Excitation: Circular Plates under Moving Loads

Item

Title
Modal Analysis of Kelvin Viscoelastic Solids Under Arbitrary Excitation: Circular Plates under Moving Loads
Report Number
WL-TR-91-3078 Volume III, p. HCB-1 thru HCB-10
Creator
Shen, I. Y.,
Mote, Jr, C. D.
Corporate Author
Department of Mechanical Engineering, University of California, Berkeley
Date
1991
Date Issued
1991-08
Extent
10
Identifier
ADA241313
Format
1 online resource
Abstract
The response of a finite, inhomogeneous, Kelvin viscoelastic solid under arbitrary excitation is determined by modal analysis. Through the reciprocal theorem of viscoelasticity, vibration modes of the Kelvin viscoelastic solid satisfy orthogonality conditions and the system response under any excitation is represented in a modal series. This formulation technique is illustrated on an asymmetric, classical, circular plate containing Kelvin inclusions excited by a constant transverse force rotating at constant speed. The viscosity of the inclusions suppresses the instability excited at supercritical speed in the elastic plate, but it may or may not suppress instability excited at subcritical speed depending on the geometry and location of the Kelvin inclusions.
Description
The response of a finite, inhomogeneous, Kelvin viscoelastic solid under arbitrary excitation is determined by modal analysis. Through the reciprocal theorem of viscoelasticity, vibration modes of the Kelvin viscoelastic solid satisfy orthogonality conditions and the system response under any excitation is represented in a modal series. This formulation technique is illustrated on an asymmetric, classical, circular plate containing Kelvin inclusions excited by a constant transverse force rotating at constant speed. The viscosity of the inclusions suppresses the instability excited at supercritical speed in the elastic plate, but it may or may not suppress instability excited at subcritical speed depending on the geometry and location of the Kelvin inclusions.
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Illinois Tech Related
No
Photo Quality
Not Needed
Report Availability
Full text available
Type
article
Is Part Of
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (GCA-1 through JCB-17)
Media
articleHCB

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Title Class
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (GCA-1 through JCB-17)

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