Results 251 to 260 of about 252,524 (293)

Parametric resonance

Computing in Science & Engineering, 1999
Computer simulation experiments are especially good tools for helping students understand basic principles of physics. In this a, I have developed a package of simulation programs called Physics of Oscillations. One of its programs is suited for examining the phenomenon of paramagnetic resonance in a linear system.
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Parametric Resonance in Adiabatic Oscillators

Results in Mathematics, 2010
This paper studies the existence of unbounded solutions of the adiabatic oscillator \[ \frac{d^2x}{dt^2}+\left(1+a\;\frac{\sin\varphi(t)}{t^\rho}\right)x=0, \quad t\in\mathbb{R},\quad \rho>0,\quad a\in\mathbb{R}\setminus \{0\}. \] The proofs are based on averaging changes of variables in systems with oscillatory decreasing coefficients and Levinson's ...
Burd, Vladimir, Nesterov, Pavel
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Bifurcational Aspects of Parametric Resonance

1992
Generic nonlinear oscillators with parametric forcing are considered near resonance. This can be seen as a case-study in the bifurcation theory of Hamiltonian systems with or without certain discrete symmetries. In the analysis, among other things, structure preserving normal form or averaging techniques are used, as well as equivariant singularity ...
Broer, Hendrik, Vegter, Gert
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Parametric Resonance of Stiffened Rectangular Plates

Journal of Applied Mechanics, 1972
This investigation is concerned with the onset of parametric instability of a simply supported stiffened rectangular plate subjected to in-plane sinusoidal dynamic forces. An analytical analysis is developed for the stiffened plate with the stiffeners treated as discrete elements.
Duffield, R. C., Willems, N.
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An Introduction to Parametric Resonance

2011
In many engineering, physical, electrical, chemical, and biological systems, oscillatory behavior of the dynamic system due to periodic excitation is of great interest. Two kinds of oscillatory responses can be distinguished: forced oscillations and parametric oscillations.
Pena Ramirez, J., Fey, R.H.B., Nijmeijer, H.   +2 more
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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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Parametric and autoparametric resonance

1996
Parametric resonance may arise in a mechanical system, the Excited System, in which one of the forces is varying periodically. The classical example is a pendulum with a suspension point which moves harmonically in the vertical direction. We shall discuss a fairly general one degree of freedom, parametrically excited system in section 2. This system is
M. Ruijgrok, F. Verhulst
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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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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 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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