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Sensitivity analysis of gyroscopic and circulatory systems prone to dissipation-induced instabilities.

Kirillov, O. N. (2008):
Sensitivity analysis of gyroscopic and circulatory systems prone to dissipation-induced instabilities.
Tecnical University of Munich, [Conference or Workshop Item]

Abstract

Asymptotic stability is examined for a linear potential system perturbed by small gyroscopic, dissipative, and non-conservative forces as well as for a circulatory system with small velocity-dependent forces and for a gyroscopic system with small dissipative and circulatory forces. Typical singularities of the stability boundary are revealed that govern stabilization and destabilization and cause the imperfect merging of modes. Sensitivity analysis of the critical parameters is performed with the use of the perturbation theory for eigenvalues and eigenvectors of non-self-adjoint operators. In case of two degrees of freedom, stability boundary is found in terms of the invariants of matrices of the system. Bifurcation of the stability domain due to change of the structure of the damping matrix is described. As a mechanical example, the onset of stabilization and destabilization in the models of gyropendulums and of rotating continua in frictional contact is investigated

Item Type: Conference or Workshop Item
Erschienen: 2008
Creators: Kirillov, O. N.
Title: Sensitivity analysis of gyroscopic and circulatory systems prone to dissipation-induced instabilities.
Language: English
Abstract:

Asymptotic stability is examined for a linear potential system perturbed by small gyroscopic, dissipative, and non-conservative forces as well as for a circulatory system with small velocity-dependent forces and for a gyroscopic system with small dissipative and circulatory forces. Typical singularities of the stability boundary are revealed that govern stabilization and destabilization and cause the imperfect merging of modes. Sensitivity analysis of the critical parameters is performed with the use of the perturbation theory for eigenvalues and eigenvectors of non-self-adjoint operators. In case of two degrees of freedom, stability boundary is found in terms of the invariants of matrices of the system. Bifurcation of the stability domain due to change of the structure of the damping matrix is described. As a mechanical example, the onset of stabilization and destabilization in the models of gyropendulums and of rotating continua in frictional contact is investigated

Publisher: Tecnical University of Munich
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Dynamics and Vibrations
Date Deposited: 12 Mar 2009 12:58
Additional Information:

Department of Mechanical Engineering, Dynamics group

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