3-dimensional flutter kinematic structural stability. (June 2016)

• Record Type: Journal Article
• Authors: Lerbet, J.; Hello, G.; Challamel, N.; Nicot, F.; Darve, F.
• Is Part Of: Nonlinear analysis. Volume 29(2016)
• Page Start: 19
• Page End: 37
• Publication Date: 2016-06
• Subjects: Flutter stability domain -- Differential geometry -- Grassmann manifolds; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.10.006
• Languages: English
• ISSNs: 1468-1218

Abstract

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.