Forced oscillations with linear and nonlinear damping

Aijun Li; Li Ma; David Keene; Joshua Klingel; Marvin Payne; Xiao jun Wang

doi:10.1119/1.4935358

Forced oscillations with linear and nonlinear damping

Aijun Li, Li Ma, David Keene, Joshua Klingel, Marvin Payne, Xiao jun Wang

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

13 Scopus citations

Abstract

A general solution is derived for the differential equations of forced oscillatory motion with both linear damping (~v) and nonlinear damping (~v²). Experiments with forced oscillators are performed using a flat metal plate with a drag force due to eddy currents and a flat piece of stiffened cardboard with a drag force due to air resistance serving as the linear and nonlinear damping, respectively. Resonance of forced oscillations for different damping forces and quality factors is demonstrated. The experimental measurements and theoretical calculations are in good agreement, and damping constants are determined.

Original language	English
Pages (from-to)	32-37
Number of pages	6
Journal	American Journal of Physics
Volume	84
Issue number	1
DOIs	https://doi.org/10.1119/1.4935358
State	Published - Jan 1 2016

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abstract = "A general solution is derived for the differential equations of forced oscillatory motion with both linear damping (~v) and nonlinear damping (~v2). Experiments with forced oscillators are performed using a flat metal plate with a drag force due to eddy currents and a flat piece of stiffened cardboard with a drag force due to air resistance serving as the linear and nonlinear damping, respectively. Resonance of forced oscillations for different damping forces and quality factors is demonstrated. The experimental measurements and theoretical calculations are in good agreement, and damping constants are determined.",

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AU - Li, Aijun

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AU - Keene, David

AU - Klingel, Joshua

AU - Payne, Marvin

AU - Wang, Xiao jun

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AB - A general solution is derived for the differential equations of forced oscillatory motion with both linear damping (~v) and nonlinear damping (~v2). Experiments with forced oscillators are performed using a flat metal plate with a drag force due to eddy currents and a flat piece of stiffened cardboard with a drag force due to air resistance serving as the linear and nonlinear damping, respectively. Resonance of forced oscillations for different damping forces and quality factors is demonstrated. The experimental measurements and theoretical calculations are in good agreement, and damping constants are determined.

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Forced oscillations with linear and nonlinear damping

Abstract

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