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Document Type

Thesis - University Access Only

Award Date


Degree Name

Master of Science (MS)

Department / School

Mechanical Engineering

First Advisor

Hamid R. Hamidzadeh


The modal parameters for different material loss factors are determined for typical thick visco-elastic hollow cylinders subjected to a harmonic force. The cylinder can be excited by stresses at the inner and outer boundaries. The governing equation of motion is developed using three dimensional theory of elastodynamics. The material damping is allowed using complex elastic moduli for the viscoelastiic medium. Frequency responses for radial, tangential and axial displacements are computed for different circumferential and axial wave numbers. The effect of different material loss factors on the frequency responses is examined for axially and non-axisymmetric modes. The dimensionless resonant frequencies for zero material loss factor are compared with dimensionless natural frequencies available [sic] for elastic material. Comparison indicates excellent agreement between the presented results and those available [sic] for elastic material. The response in the vicinity of the resonant frequency is used to determine the loss factors of the first five thickness modes for five different circumferential modes. The special case of torsional modes, for axisymmetric vibration, are also examined.

Library of Congress Subject Headings

Cylinders -- Vibration
Viscoelastic materials
Modal analysis




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