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Journal articles
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.
Cited literature [11 references]
https://hal.archives-ouvertes.fr/hal-01321946
Contributor : Frédéric Davesne <>
Submitted on : Monday, January 6, 2020 - 10:34:46 PM
Last modification on : Friday, November 20, 2020 - 12:54:03 PM
Long-term archiving on: : Tuesday, April 7, 2020 - 11:17:18 PM
Contributor : Frédéric Davesne <>
Submitted on : Monday, January 6, 2020 - 10:34:46 PM
Last modification on : Friday, November 20, 2020 - 12:54:03 PM
Long-term archiving on: : Tuesday, April 7, 2020 - 11:17:18 PM
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lerbet2016.pdf
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Distributed under a Creative Commons Attribution 4.0 International License