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

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