2007
DOI: 10.1088/0143-0807/28/5/023
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Experiments with a magnetically controlled pendulum

Abstract: A magnetically controlled pendulum is used for observing free and forced oscillations, including nonlinear oscillations and chaotic motion. A data-acquisition system stores the data and displays time series of the oscillations and related phase plane plots, Poincaré maps, Fourier spectra and histograms. The decay constant of the pendulum can be modified by positive or negative feedback. The apparatus, except for the data-acquisition system, is extremely simple and low cost, and can be assembled in a short time… Show more

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Cited by 28 publications
(27 citation statements)
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“…Observations of pendulum motion can also be used in other subjects, such as biology [12], programming, informatics and technical subjects. For undergraduates and talented young students, this experiment can be extended to examining and interpreting the influence of other force fields on pendulum motion [13][14][15][16].…”
Section: Discussionmentioning
confidence: 99%
“…Observations of pendulum motion can also be used in other subjects, such as biology [12], programming, informatics and technical subjects. For undergraduates and talented young students, this experiment can be extended to examining and interpreting the influence of other force fields on pendulum motion [13][14][15][16].…”
Section: Discussionmentioning
confidence: 99%
“…Нелинейные процессы в колебательных системах играют важную роль не только в механических и электрических процессах, но и определяют физические свойства тел. Изучению нелинейных эффектов в механических и электрических системах уделяется большое внимание [1][2][3]. Математически чаще всего это изучение базируется на анализе решений (как аналитических, так и численных) уравнений нелинейных колебаний, например, уравнения Дуффинга.…”
Section: Introductionunclassified
“…Аппаратная реализация установок обеспечивает создание нелинейности колебаний и регистрацию параметров. В работе [3] рассматривается установка для получения нелинейных колебаний математического маятника, в которой нет возможности регулирования коэффициента затухания колебаний. В отечественной литературе нелинейные колебания также изучаются на примере математического маятника [4] или с использованием электронных схем.…”
Section: Introductionunclassified
“…Free and forced nonlinear vibrations including the chaotic behavior of a magnetically controlled pendulum have been investigated by Kraftmakher. 15 The constructed experimental rig exhibits the wide possibilities of varying pendulum parameters, and hence to present novel nonlinear features of the system dynamics. Phase plane plots, Poincaré maps, Fourier spectra, and histograms have been restored via a developed data-acquisition system.…”
Section: Introductionmentioning
confidence: 99%