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Title
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Dynamic Analysis of Finite, Three Dimensional, Linear,
Elastic Solids With Kelvin Viscoelastic Inclusions: Theory with Applications to Asymmetrically Damped Circular Plates
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Report Number
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WL-TR-91-3078 Volume III, p. HCA-1 thru HCA-26
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Creator
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Shen, I. Y.
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Mote, Jr, C. D.
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Corporate Author
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Department of Mechanical Engineering, University of California, Berkeley
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Date
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1991
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Date Issued
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1991-08
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Extent
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26
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Identifier
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ADA241313
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Format
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1 online resource
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Abstract
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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.
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Description
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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.
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Distribution Classification
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1
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Distribution Conflict
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No
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DTIC Record Exists
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No
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Illinois Tech Related
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No
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Photo Quality
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Not Needed
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Report Availability
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Full text available
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Type
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article