Parametric excitation of a linear oscillator
نویسنده
چکیده
The phenomenon of parametric resonance is explained and investigated both analytically and with the help of a computer simulation. Parametric excitation is studied for the example of the rotary oscillations of a simple linear system— mechanical torsion spring pendulum excited by periodic variations of its moment of inertia. Conditions and characteristics of parametric resonance and regeneration are found and discussed in detail. Ranges of frequencies within which parametric excitation is possible are determined. Stationary oscillations at the boundaries of these ranges are investigated. The simulation experiments aid greatly an understanding of basic principles and peculiarities of parametric excitation and complement the analytical study of the subject in a manner that is mutually reinforcing.
منابع مشابه
Parametric Resonance in a Linear Oscillator
The phenomenon of parametric resonance in a linear system arising from a periodic modulation of its parameter is investigated both analytically and with the help of a computer simulation based on the educational software package PHYSICS OF OSCILLATIONS (see in the web http://www.aip.org/pas). The simulation experiments aid greatly an understanding of basic principles and peculiarities of parame...
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