Accession Number : AD0747321

Title :   Incremental Variational Method for the Large Displacement Analysis of Shells with Geometric Imperfections.

Descriptive Note : Technical rept.,

Corporate Author : NOTRE DAME UNIV IND COLL OF ENGINEERING

Personal Author(s) : Mak,Cary K. ; Kao,Der-Wang ; Lee,L. H. N.

Report Date : AUG 1972

Pagination or Media Count : 34

Abstract : For an elastic thin cylindrical shell with arbitrary geometric imperfections a refined finite element stiffness matrix is precisely formulated in terms of Lagrangian variables. A general incremental variational principle is developed to relate the strain tensor of the actual imperfect shell to the first and second order incremental Green strain tensors of the perfect shell. Applying to the variational principle a complete cubic polynomial coordinate function for the nodal normal displacement, and a linear function for the nodal in-plane displacements, the incremental stiffness matrix of a triangular curved shell element is obtained. For a shell with arbitrary geometry, the element stiffness matrix is evaluated by numerical integration. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), BUCKLING), LOADS(FORCES), DEFLECTION, STRAIN(MECHANICS), DEFECTS(MATERIALS), NUMERICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE