Accession Number : ADP002954

Title :   Orthogonal Schemes for Structural Optimization,


Personal Author(s) : Berry,M. W. ; Heath,M. T. ; Plemmons,R. J. ; Ward,R. C.

Report Date : FEB 1984

Pagination or Media Count : 9

Abstract : Historically there are two principal methods of matrix structural analysis, the displacement (or stiffness) the force method has been used relatively little because the displacement method has been deemed easier to implement on digital computers, especially for large sparse systems. The force method has theoretical advantages, however, for multiple redesign problems or nonlinear elastic analysis because it allows the solution of modified problems without restarting the computation from the beginning. In this paper we give an implementation of the first phase of the force method which is numerically stable and preserves sparsity. A primary feature of our work is the development of an efficient algorithm for computing a banded basis for the null space by orthogonal decomposition. Numerical test comparisons for several practical structural analysis problems are provided. (Author)

Descriptors :   *Matrices(Mathematics), *Structural analysis, *Optimization, *Finite element analysis, Loads(Forces), Orthogonality, Variational principles, Rotation, Algorithms, Sparse matrix, Nonlinear analysis, Elastic properties, Structural properties

Distribution Statement : APPROVED FOR PUBLIC RELEASE