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Engineering Commons

Open Access. Powered by Scholars. Published by Universities.®

Mechanical Engineering

Missouri University of Science and Technology

Theses/Dissertations

1968

Shells (Engineering) -- Mathematical models<br />Thin-walled structures -- Mathematical models<br />Axial loads

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Numerical Integration Of Shell Equations Using The Field Method, Pravin R. Ghael Jan 1968

Numerical Integration Of Shell Equations Using The Field Method, Pravin R. Ghael

Masters Theses

"In this work field equations are introduced to numerically solve the six linear differential equations which determine the displacements and stress resultants for thin elastic shells with axially symmetric loadings. With the applications of the field equations to the analysis of symmetric shells, the two-point boundary-value problem is formulated in terms of twelve first-order ordinary differential equations with boundary conditions at only one point. These equations are solved by using a forth [sic]-order Runge_kutta integration formula. Three problems whose solutions are known have been evaluated to check the accuracy of the field equation method. These are: (1.) Simply-supported, thin circular …