Masters Theses

Abstract

"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.

Advisor(s)

Cunningham, Floyd M.

Committee Member(s)

Oglesby, David B.
Lehnhoff, T. F., 1939-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Engineering Mechanics

Publisher

University of Missouri--Rolla

Publication Date

1971

Pagination

viii, 58 pages

Note about bibliography

Includes bibliographical references (page 77).

Rights

© 1971 Sushil Kumar Sharma, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Shells (Engineering) -- Vibration
Cylinders -- Vibration
Nonlinear oscillations
Elastic plates and shells

Thesis Number

T 2538

Print OCLC #

6033514

Electronic OCLC #

871714302

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