Finite Element Dynamic Analysis of Shallow Shell Structures.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1970
- Accession Number
- AD0715581
Entities
People
- A. C. Sarazin
- G. M. Lindberg
- M. D. Olson
Organizations
- National Research Council Canada