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Stabilizing and destabilizing effect of small velocity‐dependent forceson non‐conservative systems: new results
Author(s) -
Kirillov Oleg
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410029
Subject(s) - dissipative system , dissipation , gyroscope , eigenvalues and eigenvectors , expression (computer science) , jump , function (biology) , critical ionization velocity , sensitivity (control systems) , mathematics , control theory (sociology) , physics , classical mechanics , mathematical analysis , mechanics , computer science , thermodynamics , engineering , quantum mechanics , artificial intelligence , biology , programming language , control (management) , evolutionary biology , electronic engineering
A theory of the destabilization paradox in general non‐conservative systems with small dissipative and gyroscopic forces is presented. The problem is investigated by the approach based on the sensitivity analysis of multiple eigenvalues. An explicit asymptotic expression for the critical load as a function of the dissipation and gyroscopic parameters allowing to calculate a jump in the critical load is derived. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)