3-dimensional flutter kinematic structural stability - Archive ouverte HAL Access content directly
Journal Articles Nonlinear Analysis: Real World Applications Year : 2016

3-dimensional flutter kinematic structural stability

Abstract

Having recalled the kinematic structural stability (ki.s.s) issue and its solution for divergence-type instability, we address the same problem for flutter-type instability for the minimal required configuration of dimensions - meaning 3 degree of freedom systems. We first get a sufficient non optimal condition. In a second time, the complete issue is tackled by two different ways leading to same results. A first way using calculations on Grassmann and Stiefel manifolds that may be generalized for any dimensional configuration. A second way using the specific dimensional configuration is brought back to calculations on the sphere. Differences with divergence ki.s.s are highlighted and examples illustrate the results.
Fichier principal
Vignette du fichier
lerbet2016.pdf (563.3 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01321946 , version 1 (06-01-2020)

Licence

Attribution

Identifiers

Cite

Jean Lerbet, Gaëtan Hello, Noël Challamel, François Nicot, Félix Darve. 3-dimensional flutter kinematic structural stability. Nonlinear Analysis: Real World Applications, 2016, 29, pp.19-37. ⟨10.1016/j.nonrwa.2015.10.006⟩. ⟨hal-01321946⟩
226 View
78 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More