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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