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Stabilizing and destabilizing effect of small velocity-dependent forceson non-conservative systems: new results

  1. Oleg Kirillov*

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410029

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PAMM

PAMM

Volume 4, Issue 1, pages 95–96, December 2004

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How to Cite

Kirillov, O. (2004), Stabilizing and destabilizing effect of small velocity-dependent forceson non-conservative systems: new results. Proc. Appl. Math. Mech., 4: 95–96. doi: 10.1002/pamm.200410029

Author Information

  1. Moscow State Lomonosov University, Institute of Mechanics, Michurinskii pr. 1, 119192 Moscow, Russia

*Phone: +7 095 939 2039, Fax: +7 095 939 0165

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

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)

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