Abstract
Previous theoretical and experimental studies have shown that some vibrating systems can be stabilized by zero-averaged periodic parametric excitations. It is shown in this paper that some zero-mean random parametric excitations can also be useful for this stabilization. Under some conditions, they can be even more efficient compared to the periodic ones. Two-mass mechanical system with self-excited vibrations is considered for this comparison. The so-called bounded noise is used as a model of the random parametric excitation. The mean-square stability diagrams are obtained numerically by considering an eigenvalue problem for large matrices.
Original language | English |
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Pages (from-to) | 1-9 |
Number of pages | 9 |
Journal | Nonlinear Dynamics |
Early online date | 22 Aug 2017 |
DOIs | |
Publication status | E-pub ahead of print - 22 Aug 2017 |
Keywords
- Bounded noise
- Mean-square stability
- Parametric excitation
- Self-excited vibration
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering