Cycle bases for the flexibility analysis of structures

✍ Scribed by A. C. Cassell; J. C. de C. Henderson; A. Kaveh

• Publisher: John Wiley and Sons
• Year: 1974
• Tongue: English
• Weight: 533 KB
• Volume: 8
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620080308

✦ Synopsis

Abstract

Two methods are presented for the automatic selection of a cycle basis leading to a sparse flexibility matrix for the analysis of rigid‐jointed skeletal structures.

The first method having a local approach forms a maximal set of admissible minimal cycles, while the second having a global approach constructs admissible minimal cycles on the ordered chords of a shortest route tree. A cycle ordering algorithm is also given to reduce the band width of the corresponding flexibility matrix.