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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


Harmonic forced vibration of thick visco-elastic hollow cylinders is investigated in this thesis. Three-dimensional theory of elasto-dynamics is utilized to develop the governing equation of motion, and a complex elastic modulus is employed to model visco-elastic damping. This analysis is not limited to thin cylinders or cylinders of infinite extent. Resonant frequencies of the · breathing, rigid body, the first three Lobar, and thickness modes of elastic cylinders are computed and compared to those of Armenakas et al. (1969). Resonant frequencies of the fourth Lobar mode for an elastic cylinder are also included. The fundamental resonant frequency of thin elastic cylinders is determined and compared to those of free vibration and shell theory technique. Frequency response of elastic cylinders are presented for each mode. The effects of visco-elastic damping on resonant amplitude and frequency are investigated.

Library of Congress Subject Headings

Viscoelastic materials
Cylinders -- Vibration -- Research




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