FINITE ELEMENTS FOR THREE-MODE INTERACTION IN BUCKLING ANALYSIS

✍ Scribed by E. J. BARBERO; L. A. GODOY; I. G. RAFTOYIANNIS

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 928 KB
• Volume: 39
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19960215)39:3<469::aid-nme864>3.0.co;2-a

✦ Synopsis

This paper presents a finite element formulation for the buckling mode interaction analysis of structures modelled as plate assemblies. The main assumptions are linear elasticity, a linear fundamental path, the existence of distinct critical states that are coincident or near coincident, and a coupled path arising from a linear combination of modal displacements due to interaction. The formulation adopted is known as the W-formulation, in which the energy is written in terms of a sliding set of incremental co-ordinates measured with respect to the fundamental path. The energy is then expressed with respect to a reduced modal co-ordinate basis and the coupled solution arising from interaction is computed. An example of a fibrereinforced composite I-beam subjected to axial compression illustrates the procedure. The results are compared to a simplified model developed by the authors. Also, an imperfection sensitivity analysis is performed.