Results 251 to 260 of about 1,433,202 (288)

The First Parametric Resonance

2017
Linear periodically nonstationary systems are described by linear differential equations with either one or several periodically variable coefficients. In contrast to the coordinates, that describe the motion of the system, the periodically variable coefficients are called periodically variable parameters.
Leonid Chechurin, Sergej Chechurin
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Parametric resonance in the laser

Physics Letters A, 1979
Abstract The response of the single mode operating laser to the weak nonresonant field is investigated. It is found that at a certain frequency of the applied field its superposition with the response field results in amplification of the applied field.
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The swing: Parametric resonance

Journal of Applied Mathematics and Mechanics, 2004
The instability of oscillations of a weightless rod with a concentrated mass, sliding periodically along the rod axis is investigated. This is the simplest model of a child's swing. The amplitude of the displacement of the mass and viscous friction, due to the air resistance, are assumed to small, while the periodic excitation function is arbitrary ...
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Parametric vibrations and resonance

2003
Summary: We examine a system of linear differential equations with periodic coefficients depending on parameters. For small changing parameters, the monodromy matrix and eigenvalues are constructed. We consider the problem of stability of trivial solution of the damped Hill equation and obtain the domains of stability in the parameter space.
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On the parametric resonance density

Journal of Applied Mathematics and Mechanics, 1980
Abstract The relation between the asymptotic density of the eigenfrequencies of elastic systems and their reactions to parametric vibrational effects is examined. Main attention is paid to the relationship between the density of simple parametric resonances at which one of the eigenmodes of the system is mostly excited, and the density of the ...
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Parametric Resonances of Columns

2019
This chapter aims to give a general overview of the parametric resonances of columns under a harmonically pulsating force. In addition to simple resonance, combination resonances of sum and difference type are introduced, with columns having various kinds of boundary condition, other than pinned-pinned ends.
Yoshihiko Sugiyama, Mikael A. Langthjem, Kazuo Katayama   +2 more
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Parametric Resonance

2023
Hildeberto E. Cabral, Lúcia Brandão Dias   +1 more
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Damping by Parametric Stiffness Excitation: Resonance and Anti-Resonance

Journal of Vibration and Control, 2008
Investigations are presented into the stability of vibration suppression employing variable-stiffness actuators. Systems with an arbitrary number of degrees of freedom are considered, and are subject to both parametric excitation and self-excitation.
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RESONANT LAYERS IN A PARAMETRICALLY EXCITED PENDULUM

International Journal of Bifurcation and Chaos, 2002
The energy increment spectrum method is developed for the numerical prediction of a specific primary resonant layer, and the width of the resonant layer can be estimated through the energy increment spectrum. This numerical approach is applied to investigate the (2M:1)-librational and (M:1)-rotational, resonant layers in a parametrically excited ...
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Stochastic Parametric Resonance

2017
As the first example, consider in more detail stochastic equation of the second order ( 2.3), which is equivalent to the system of equations of the first order.
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