Accession Number : AD0641162

Title :   ANALYSIS OF SHALLOW DOUBLY-CURVED SHELLS SUPPORTED BY ELASTIC EDGE MEMBERS,

Corporate Author : ILLINOIS UNIV URBANA DEPT OF CIVIL ENGINEERING

Personal Author(s) : Padilla,J. A. ; Schnobrich,W. C.

Report Date : JUN 1966

Pagination or Media Count : 65

Abstract : The study is concerned with the bending analysis of doubly-curved shallow shells with rectangular planform. The equations of the theory of shallow shells developed by Vlassov are used. The assumptions made for the shell are the same as in Vlassov. The present study starts from the formulation of the governing equations expressed in terms of the displacements, u, v, w. These three differential equations specialized to shallow shells are expressed in finite differences, using the modified finite-difference method. All quantities represented by odd order derivatives of the unknown displacement components are defined at points midway between those used in defining the even order derivatives. The axial bending and torsional stiffnesses of the curved beams at the boundaries are taken into account. The parameters appearing in the equations and corresponding to each of these stiffnesses allow simulation of any type of boundary condition at any of the four edges, either realistic, according to the dimensions of the curved beams, or idealized according to assumed stiffnesses for the supporting members. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), STRUCTURAL PROPERTIES), CURVED PROFILES, BENDING, SUPPORTS, BEAMS(STRUCTURAL), DIFFERENTIAL EQUATIONS, MATHEMATICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, BOUNDARY VALUE PROBLEMS

Subject Categories : Structural Engineering and Building Technology

Distribution Statement : APPROVED FOR PUBLIC RELEASE