Standard

A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems. / Butikov, Eugene I.

в: Nonlinear Dynamics, Том 88, 2017, стр. 2609–2627.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Butikov, EI 2017, 'A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems', Nonlinear Dynamics, Том. 88, стр. 2609–2627. https://doi.org/10.1007/s11071-017-3398-0

APA

Butikov, E. I. (2017). A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems. Nonlinear Dynamics, 88, 2609–2627. https://doi.org/10.1007/s11071-017-3398-0

Vancouver

Butikov EI. A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems. Nonlinear Dynamics. 2017;88:2609–2627. https://doi.org/10.1007/s11071-017-3398-0

Author

Butikov, Eugene I. / A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems. в: Nonlinear Dynamics. 2017 ; Том 88. стр. 2609–2627.

BibTeX

@article{f805c8de4929445cb18c9f3210700372,
title = "A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems",
abstract = "Parametric excitation of a nonlinear physical pendulum by modulation of its moment of inertia is analyzed in terms of physics as an example of the suggested approach. The modulation is provided by a redistribution of auxiliary masses. The system 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 nonlinear properties of the physical system in restricting the resonant swinging is emphasized. Phase locking between the drive and oscillations of the pendulum, and the phenomenon of parametric autoresonance are investigated. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. The feedback providing active optimal control of amplification and attenuation of oscillations is analyzed. An effective method of suppressing undesirable rotary oscillations of suspended constructions is suggested.",
keywords = "parametric resonance, active control, phase locking, autoresonance, bifurcations, instability ranges.",
author = "Butikov, {Eugene I.}",
year = "2017",
doi = "10.1007/s11071-017-3398-0",
language = "English",
volume = "88",
pages = "2609–2627",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - A physically meaningful new approach to parametric excitation and attenuation of oscillations in nonlinear systems

AU - Butikov, Eugene I.

PY - 2017

Y1 - 2017

N2 - Parametric excitation of a nonlinear physical pendulum by modulation of its moment of inertia is analyzed in terms of physics as an example of the suggested approach. The modulation is provided by a redistribution of auxiliary masses. The system 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 nonlinear properties of the physical system in restricting the resonant swinging is emphasized. Phase locking between the drive and oscillations of the pendulum, and the phenomenon of parametric autoresonance are investigated. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. The feedback providing active optimal control of amplification and attenuation of oscillations is analyzed. An effective method of suppressing undesirable rotary oscillations of suspended constructions is suggested.

AB - Parametric excitation of a nonlinear physical pendulum by modulation of its moment of inertia is analyzed in terms of physics as an example of the suggested approach. The modulation is provided by a redistribution of auxiliary masses. The system 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 nonlinear properties of the physical system in restricting the resonant swinging is emphasized. Phase locking between the drive and oscillations of the pendulum, and the phenomenon of parametric autoresonance are investigated. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. The feedback providing active optimal control of amplification and attenuation of oscillations is analyzed. An effective method of suppressing undesirable rotary oscillations of suspended constructions is suggested.

KW - parametric resonance

KW - active control

KW - phase locking

KW - autoresonance

KW - bifurcations

KW - instability ranges.

U2 - 10.1007/s11071-017-3398-0

DO - 10.1007/s11071-017-3398-0

M3 - Article

VL - 88

SP - 2609

EP - 2627

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

ER -

ID: 7736645