"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 cylindrical shell of finite length with a uniform internal pressure. (2.) Simply-supported, thin circular cylindrical shell of finite length, under a radial line load distributed around the circumference at the center section. (3.) Thin circular cylindrical shell with both ends fixed and a uniform internal pressure"--Abstract, page ii.
Keith, Harold D. (Harold Dean), 1941-
Barker, Clark R.
Cunningham, Floyd M.
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
University of Missouri--Rolla
viii, 55 pages
© 1968 Pravin R. Ghael, All rights reserved.
Thesis - Open Access
Shells (Engineering) -- Mathematical models
Thin-walled structures -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Ghael, Pravin R., "Numerical integration of shell equations using the field method" (1968). Masters Theses. 5341.