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Pendulum with a square-wave modulated length. / Butikov, E.I.

в: International Journal of Non-Linear Mechanics, Том 55, 2013, стр. 25-34.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Butikov, EI 2013, 'Pendulum with a square-wave modulated length', International Journal of Non-Linear Mechanics, Том. 55, стр. 25-34. https://doi.org/10.1016/j.ijnonlinmec.2013.04.011

APA

Butikov, E. I. (2013). Pendulum with a square-wave modulated length. International Journal of Non-Linear Mechanics, 55, 25-34. https://doi.org/10.1016/j.ijnonlinmec.2013.04.011

Vancouver

Butikov EI. Pendulum with a square-wave modulated length. International Journal of Non-Linear Mechanics. 2013;55:25-34. https://doi.org/10.1016/j.ijnonlinmec.2013.04.011

Author

Butikov, E.I. / Pendulum with a square-wave modulated length. в: International Journal of Non-Linear Mechanics. 2013 ; Том 55. стр. 25-34.

BibTeX

@article{af3dbe52d2ec40e7bae51d7180da7f42,
title = "Pendulum with a square-wave modulated length",
abstract = "Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.",
keywords = "Parametric resonance, phase locking, multistability, autoresonance, bifurcations, instability ranges",
author = "E.I. Butikov",
year = "2013",
doi = "10.1016/j.ijnonlinmec.2013.04.011",
language = "English",
volume = "55",
pages = "25--34",
journal = "International Journal of Non-Linear Mechanics",
issn = "0020-7462",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Pendulum with a square-wave modulated length

AU - Butikov, E.I.

PY - 2013

Y1 - 2013

N2 - Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.

AB - Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.

KW - Parametric resonance

KW - phase locking

KW - multistability

KW - autoresonance

KW - bifurcations

KW - instability ranges

U2 - 10.1016/j.ijnonlinmec.2013.04.011

DO - 10.1016/j.ijnonlinmec.2013.04.011

M3 - Article

VL - 55

SP - 25

EP - 34

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

ID: 7378168