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Optimizing the conditioning of structural flexibility matrices

Authors
Journal
Computers & Structures
0045-7949
Publisher
Elsevier
Publication Date
Volume
41
Issue
3
Identifiers
DOI: 10.1016/0045-7949(91)90142-9

Abstract

Abstract In order to improve the conditioning of flexibility matrices for skeletal structures, the relative stiffnesses of their members are incorporated in the process of selecting self-equilibrating stress systems. The stiffnesses of members are then assigned to the edges of the graph model of a structure, obtaining a network. Methods are developed for generating cycle bases of networks, leading to well-conditioned flexibility matrices. Computational results are included to illustrate the performance of the presented methods.

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