Parametric excitation of a linear oscillator

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Parametric excitation of a linear oscillator. / Butikov, Eugene I.

In: European Journal of Physics, Vol. 25, No. 4, 01.07.2004, p. 535-554.

Research output: Contribution to journal › Article › peer-review

Author

Butikov, Eugene I. / Parametric excitation of a linear oscillator. In: European Journal of Physics. 2004 ; Vol. 25, No. 4. pp. 535-554.

BibTeX

@article{d6d940cc83da43c49f7d580fd2b0268b,

title = "Parametric excitation of a linear oscillator",

abstract = "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.",

author = "Butikov, {Eugene I.}",

year = "2004",

month = jul,

day = "1",

doi = "10.1088/0143-0807/25/4/009",

language = "English",

volume = "25",

pages = "535--554",

journal = "European Journal of Physics",

issn = "0143-0807",

publisher = "IOP Publishing Ltd.",

number = "4",

}

RIS

TY - JOUR

T1 - Parametric excitation of a linear oscillator

AU - Butikov, Eugene I.

PY - 2004/7/1

Y1 - 2004/7/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=3242879474&partnerID=8YFLogxK

U2 - 10.1088/0143-0807/25/4/009

DO - 10.1088/0143-0807/25/4/009

M3 - Article

AN - SCOPUS:3242879474

VL - 25

SP - 535

EP - 554

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 4

ER -

ID: 51954227