Dynamic Analysis of Finite, Three Dimensional, Linear, Elastic Solids With Kelvin Viscoelastic Inclusions: Theory with Applications to Asymmetrically Damped Circular Plates

Item

Title
Dynamic Analysis of Finite, Three Dimensional, Linear,
Elastic Solids With Kelvin Viscoelastic Inclusions: Theory with Applications to Asymmetrically Damped Circular Plates
Report Number
WL-TR-91-3078 Volume III, p. HCA-1 thru HCA-26
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
26
Identifier
ADA241313
Format
1 online resource
Abstract
Eigensolutions and Green's functions of finite, three dimensional, linear, elastic solids with Kelvin viscoelastic inclusions are analyzed. The eigensolutions satisfy a set of integral equations expressing the reciprocal theorem of viscoelasticity. Successive approximations to these integral equations lead to asymptotic solutions and an iteration scheme for the eigensolutions. The Green's function is also determined through the integral equation approach. Finally, the vibration of Kirchhoff circular plates with evenly spaced, radial, viscoelastic inclusions, which cause some of the repeated vibration modes to split into distinct ones, is analyzed both analytically and numerically for the eigensolutions and the Green's function.
Description
Eigensolutions and Green's functions of finite, three dimensional, linear, elastic solids with Kelvin viscoelastic inclusions are analyzed. The eigensolutions satisfy a set of integral equations expressing the reciprocal theorem of viscoelasticity. Successive approximations to these integral equations lead to asymptotic solutions and an iteration scheme for the eigensolutions. The Green's function is also determined through the integral equation approach. Finally, the vibration of Kirchhoff circular plates with evenly spaced, radial, viscoelastic inclusions, which cause some of the repeated vibration modes to split into distinct ones, is analyzed both analytically and numerically for the eigensolutions and the Green's function.
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
articleHCA

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Items with "Has Part: Dynamic Analysis of Finite, Three Dimensional, Linear, Elastic Solids With Kelvin Viscoelastic Inclusions: Theory with Applications to Asymmetrically Damped Circular Plates"
Title Class
Proceedings of Damping '91: 13-15 February 1991 San Diego, California (GCA-1 through JCB-17)