Journal of Mathematical Sciences

, Volume 145, Issue 5, pp 5260–5270 | Cite as

On the stability of nonconservative systems with small dissipation

  • O. N. Kirillov


In the present work, we study the paradoxical influence of small dissipative and gyroscopic forces on the stability of linear nonconservative systems consisting of the nonpredictable (at first glance) behavior of a critical nonconservative loading. By studying bifurcations of multiple roots of the characteristic polynomial of the nonconservative system considered, the analytical description of this effect is obtained. The model of a disk brake describing the appearance of a creak in the braking of a car is considered as a mechanical example.


Characteristic Polynomial Simple Eigenvalue Disk Brake Dissipative Force Double Root 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • O. N. Kirillov
    • 1
  1. 1.Institute of MechanicsM. V. Lomonosov Moscow State UniversityRussia

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