Masters Theses

Abstract

"The general theory of large elastic deformations is applied to the problem of a liquid-filled, axisymmetric membrane which is supported on a rigid horizontal plane and subjected to a variable external pressure. The variable external pressure is caused by submerging the membrane to various depths. The variation of the hydrostatic pressure in the inflating medium as well as in the surrounding environment is considered. By assuming large meridional deformations the stress field and the deformed shapes of a submerged membrane made of a neo-Hookean material are obtained. The effect of the initial shape on the deformed configuration of the membrane is discussed. The depth of submergence corresponding to a deformed shape is calculated inversely by utilizing the Archimedes principle. The governing equations, which are nonlinear ordinary differential - integral type, are solved numerically by the Runge-Kutta integration process using a S/360 Computer Systems Modeling Program. The deformed configuration of the submerged, liquid-filled membrane is ascertained, qualitatively, by performing an experiment with a spherical rubber bladder inflated by glycerine and submerged in water"--Abstract, page ii.

Advisor(s)

Avula, Xavier J. R.

Committee Member(s)

Oglesby, David B.
Andrews, William A., 1922-2009

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Engineering Mechanics

Sponsor(s)

National Science Foundation (U.S.)

Publisher

University of Missouri--Rolla

Publication Date

1972

Pagination

xii, 66 pages

Rights

© 1972 Walter Earl Wehmeyer, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Shells (Engineering)Deformations (Mechanics)Elasticity -- Computer simulation

Thesis Number

T 2703

Print OCLC #

6032237

Electronic OCLC #

882925051

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