On the Stability of a Class of Non-Ideal Systems
Journal Title: Romanian Journal of Acoustics and Vibration - Year 2014, Vol 11, Issue 2
Abstract
A vibrating system is said ideal when its excitation is not influenced by the response of the system. When the excitation is influenced by the response of the system, the system is said non-ideal. A new degree of freedom is present in such systems, for which a new equation has to be added in order to describe how the energy source interacts with the vibrating system. The energy transfer is governed by the Sommerfeld effect which appears as a result of the law of energy conservation. In this paper, the response to vibrations of a class of non-ideal systems is analyzed. The coupling between the structure to a power source acts like a energy sink for which a part of the source energy is spend to deform the system rather than increasing the drive speed. The Sommerfeld effect involves on the one hand the vibration reduction and, on the other hand, a chaotic behavior with riddling bifurcation which explains the creation of the hyperchaotic attractors.
Authors and Affiliations
Veturia CHIROIU, Ligia MUNTEANU, Dan DUMITRIU, Cornel BRISAN, Rodica IOAN
Keywords
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