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Linear non‐conservative systems with fractional damping and the derivatives of critical load parameter
Author(s) -
Kobelev Vladimir V.
Publication year - 2007
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.200790019
Subject(s) - flutter , instability , perturbation (astronomy) , bifurcation , dynamical systems theory , control theory (sociology) , aerodynamics , sensitivity (control systems) , aeroelasticity , structural system , mathematics , physics , mechanics , nonlinear system , structural engineering , computer science , engineering , control (management) , quantum mechanics , artificial intelligence , electronic engineering
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)