Accession Number : AD0675320

Title :   FINITE DEFLECTION, DISCRETE ELEMENT ANALYSIS OF SHELLS.

Descriptive Note : Interim rept. Dec 65-1 Aug 67,

Corporate Author : CASE WESTERN RESERVE UNIV CLEVELAND OHIO SOLID MECHANICS STRUCTURES AND MECHANICAL DESIGN GROUP

Personal Author(s) : Bogner,Fred K.

Report Date : JUN 1968

Pagination or Media Count : 170

Abstract : A discrete element analysis method for predicting the nonlinear response of thin elastic shells is presented. The displacement patterns for a shell element, the edges of which must be parallel to orthogonal curvilinear coordinates, are expressed in terms of products of one-dimensional Hermite interpolation polynomials and undetermined nodal displacement parameters. Geometric admissibility of the displacement state of an assemblage of these discrete elements is conveniently satisfied. Special treatment is given to the particular cases of flat rectangular plate and circular cylindrical shell discrete elements. The use of a potential energy principle permits the incorporation of geometric nonlinearity, thus providing the capability for predicting finite displacements and post-buckling behavior. Numerical solutions are obtained by direct minimization of the total discretized potential energy. Several numerical examples, both linear and nonlinear, which indicate the effectiveness of the analysis are considered. The applicability of this discrete element analysis method to predicting the elastic post-buckling behavior of integrally stiffened shells is provided by the assumed element displacement patterns. (Author)

Descriptors :   (*ELASTIC SHELLS, STRUCTURAL PROPERTIES), DEFLECTION, CYLINDRICAL BODIES, FUNCTIONS(MATHEMATICS), INTERPOLATION, STIFFENED CYLINDERS, GEOMETRY, BUCKLING, MATHEMATICAL PREDICTION, POLYNOMIALS, GEOMETRIC FORMS, MATHEMATICAL ANALYSIS

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE