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Linear non-conservative systems with fractional damping and the derivatives of critical load parameter

✍ Scribed by Vladimir V. Kobelev

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 133 KB
Volume: 30
Category: Article
ISSN: 0936-7195
DOI: 10.1002/gamm.200790019

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✦ Synopsis

Abstract

In this paper, the influence of small perturbation on a linear, non‐conservative dynamical system exhibiting a flutter type bifurcation has been investigated. An important role in considering design problems for non‐conservative structures plays the sensitivity analysis of the integral structural characteristics as fundamental frequencies, damping behavior and critical loads for instability. The hereditary damping is described accurately usually only by means of fractional derivatives. The stability conditions of the perturbed hereditary system were derived. A new analytical framework for the optimization of aero‐structural systems, exhibiting the non‐classical damping is presented. The approach is based on an adjoint system of pseudo‐differential equations to obtain aerodynamic sensitivities. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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