Accession Number : AD0715581

Title :   Finite Element Dynamic Analysis of Shallow Shell Structures.

Descriptive Note : Aeronautical rept.,

Corporate Author : NATIONAL AERONAUTICAL ESTABLISHMENT OTTAWA (ONTARIO)

Personal Author(s) : Lindberg,G. M. ; Olson,M. D. ; Sarazin,A. C.

Report Date : JUL 1970

Pagination or Media Count : 71

Abstract : An efficient dynamic analysis capability for arbitrary shallow shell structures is developed and illustrated with several applications with experimental verifications. The method is based on a compatible, doubly-curved shallow shell element of arbitrary triangular shape which includes thickness variations. This element uses as generalized displacements at each vertex the normal displacement w and its first and second derivatives plus the tangential displacements u and v and their first derivatives. Once the master matrices for a shell are assembled, the tangential inertias are neglected and all tangential degrees of freedom are condensed out thus greatly reducing the eigenvalue problem sizes. Numerical results from the applications show that natural frequencies and mode shapes are always predicted with good accuracy even with coarse gridworks, and convergence with element gridwork refinement is always monotonic and exceedingly rapid. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), VIBRATION), RESONANT FREQUENCY, KINETIC ENERGY, STRAIN(MECHANICS), MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), SATELLITE ANTENNAS, MATHEMATICAL MODELS, CANADA

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE