Parametric Excitation of a Nonlinear System
نویسندگان
چکیده
منابع مشابه
Parametric Excitation of a Nonlinear System
A study has been made on the parametric excitation of a nonlinear system with hardening springs. I n the parametric excitation of linear systems, the only subharmonic predicted i s a subharmonic of order 1/2. However, i n the parametric excitation of nonlinear systems, i t i s shown th I ? higher order subharmonics can exist, depending both on the amplitude and frequency of the parametric excit...
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Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers determinations of the stability of equilibria, nonlinear parametric excitation has as its goal the structure of the phase space, as given by a portrait of the Poincare map. In this article, perturbat...
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Consider a one-mass system with two degrees of freedom, nonlin-early coupled, with parametric excitation in one direction. Assuming the internal resonance 1:2 and parametric resonance 1:2 we derive conditions for stability of the trivial solution by using both the harmonic balance method and the normal form method of averaging. If the trivial solution becomes unstable a stable periodic solution...
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für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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It is a rule of thumb that time delay tends to destabilize any dynamical system. This is not true, however, in the case of delayed oscillators, which serve as mechanical models for several surprising physical phenomena. Parametric excitation of oscillatory systems also exhibits stability properties sometimes defying our physical sense. The combination of the two effects leads to challenging tas...
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 1965
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.3627333