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Spring pendulum with dry and viscous damping. / Butikov, E.I.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 20, No. 1, 2015, p. 298-315.

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Harvard

Butikov, EI 2015, 'Spring pendulum with dry and viscous damping', Communications in Nonlinear Science and Numerical Simulation, vol. 20, no. 1, pp. 298-315. https://doi.org/10.1016/j.cnsns.2014.04.026

APA

Butikov, E. I. (2015). Spring pendulum with dry and viscous damping. Communications in Nonlinear Science and Numerical Simulation, 20(1), 298-315. https://doi.org/10.1016/j.cnsns.2014.04.026

Vancouver

Butikov EI. Spring pendulum with dry and viscous damping. Communications in Nonlinear Science and Numerical Simulation. 2015;20(1):298-315. https://doi.org/10.1016/j.cnsns.2014.04.026

Author

Butikov, E.I. / Spring pendulum with dry and viscous damping. In: Communications in Nonlinear Science and Numerical Simulation. 2015 ; Vol. 20, No. 1. pp. 298-315.

BibTeX

@article{edb78f3460ac4bd9a18d793cffb0b74d,
title = "Spring pendulum with dry and viscous damping",
abstract = "Free and forced oscillations of a torsion spring pendulum damped by viscous and dry friction are investigated analytically and with the help of numerical simulations. A simplified mathematical model is assumed (Coulomb law) which nevertheless can explain many peculiarities in behavior of various oscillatory systems with dry friction. The amplitude of free oscillations diminishes under dry friction linearly, and the motion stops after a final number of cycles. The amplitude of sinusoidally driven pendulum with dry friction grows at resonance without limit if the threshold is exceeded. At strong enough non-resonant sinusoidal forcing dry friction causes transients that typically lead to definite limit cycles — periodic steady-state regimes of symmetric non-sticking forced oscillations which are independent of initial conditions. However, at the subharmonic sinusoidal forcing interesting peculiarities of the steady-state response are revealed such as multiple coexisting regimes of asymmetric oscillations that de",
keywords = "Dry friction, Dead zone, Sinusoidal forcing, Resonance, Threshold, Steady-state regime, Asymmetric oscillations",
author = "E.I. Butikov",
year = "2015",
doi = "10.1016/j.cnsns.2014.04.026",
language = "English",
volume = "20",
pages = "298--315",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Spring pendulum with dry and viscous damping

AU - Butikov, E.I.

PY - 2015

Y1 - 2015

N2 - Free and forced oscillations of a torsion spring pendulum damped by viscous and dry friction are investigated analytically and with the help of numerical simulations. A simplified mathematical model is assumed (Coulomb law) which nevertheless can explain many peculiarities in behavior of various oscillatory systems with dry friction. The amplitude of free oscillations diminishes under dry friction linearly, and the motion stops after a final number of cycles. The amplitude of sinusoidally driven pendulum with dry friction grows at resonance without limit if the threshold is exceeded. At strong enough non-resonant sinusoidal forcing dry friction causes transients that typically lead to definite limit cycles — periodic steady-state regimes of symmetric non-sticking forced oscillations which are independent of initial conditions. However, at the subharmonic sinusoidal forcing interesting peculiarities of the steady-state response are revealed such as multiple coexisting regimes of asymmetric oscillations that de

AB - Free and forced oscillations of a torsion spring pendulum damped by viscous and dry friction are investigated analytically and with the help of numerical simulations. A simplified mathematical model is assumed (Coulomb law) which nevertheless can explain many peculiarities in behavior of various oscillatory systems with dry friction. The amplitude of free oscillations diminishes under dry friction linearly, and the motion stops after a final number of cycles. The amplitude of sinusoidally driven pendulum with dry friction grows at resonance without limit if the threshold is exceeded. At strong enough non-resonant sinusoidal forcing dry friction causes transients that typically lead to definite limit cycles — periodic steady-state regimes of symmetric non-sticking forced oscillations which are independent of initial conditions. However, at the subharmonic sinusoidal forcing interesting peculiarities of the steady-state response are revealed such as multiple coexisting regimes of asymmetric oscillations that de

KW - Dry friction

KW - Dead zone

KW - Sinusoidal forcing

KW - Resonance

KW - Threshold

KW - Steady-state regime

KW - Asymmetric oscillations

U2 - 10.1016/j.cnsns.2014.04.026

DO - 10.1016/j.cnsns.2014.04.026

M3 - Article

VL - 20

SP - 298

EP - 315

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 1

ER -

ID: 3978530