Efficient algorithms for parametric non-linear instability analysis

Antoine Legay (1) , Alain Combescure (1)

1 LMT - Laboratoire de Mécanique et Technologie

In this paper, we describe an original method which enables the rapid calculation of the critical buckling pressure of structures with variable parameters. This study fits within the framework of non-linear reliability which requires numerous non-linear mechanical calculations with different sets of parameters. Therefore, we aim for a method which has optimum numerical efficiency.

Mots clés: Buckling; Thin structure; Non-linear; Reliability

Domaines: Mécanique [physics.med-ph]

Antoine Legay, Alain Combescure. Efficient algorithms for parametric non-linear instability analysis. International Journal of Non-Linear Mechanics, 2002, 37 (4-5), pp.709 - 722. ⟨10.1016/S0020-7462(01)00094-4⟩. ⟨hal-01422436⟩