"In this report bending theory of shells is used to determine the natural frequencies and mode shapes of circular cylindrical shells. The governing eighth-order system of differential equations has been put in a form which is especially suitable for numerical integration and application of different sets of homogeneous boundary conditions. The Holzer method is used to solve the eigenvalue problem. During numerical integration of the differential equations, the exponentially growing solutions are suppressed whenever they become larger than previously selected values. Numerical results are obtained for various shell geometry parameters and for three different sets of homogeneous boundary conditions. These results are compared with the energy method solutions developed by Rayleigh and by Arnold and Warburton. The difference between the results obtained by the numerical integration method and the energy method has been found to be less than 10 percent for all the cases"--Abstract, page ii.
Cunningham, Floyd M.
Oglesby, David B.
Lehnhoff, T. F., 1939-
Mechanical and Aerospace Engineering
M.S. in Engineering Mechanics
University of Missouri--Rolla
viii, 58 pages
© 1971 Sushil Kumar Sharma, All rights reserved.
Thesis - Open Access
Library of Congress Subject Headings
Shells (Engineering) -- Vibration
Cylinders -- Vibration
Elastic plates and shells
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Sharma, Sushil Kumar, "Free vibrations of circular cylindrical shells" (1971). Masters Theses. 5480.