Investigation of a spatial double pendulum: an engineering approach

Bendersky, S.; Sandler, B.

doi:https://doi.org/10.1155/DDNS/2006/25193

Discrete Dynamics in Nature and Society

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Volume 2006 | Article ID 025193 | https://doi.org/10.1155/DDNS/2006/25193

Investigation of a spatial double pendulum: an engineering approach

S. Bendersky¹and B. Sandler¹

Received24 May 2005

Accepted04 Jul 2005

Published18 Mar 2006

Abstract

The behavior of a spatial double pendulum (SDP), comprising two pendulums that swing in different planes, was investigated. Movement equations (i.e., mathematical model) were derived for this SDP, and oscillations of the system were computed and compared with experimental results. Matlab computer programs were used for solving the nonlinear differential equations by the Runge-Kutta method. Fourier transformation was used to obtain the frequency spectra for analyses of the oscillations of the two pendulums. Solutions for free oscillations of the pendulums and graphic descriptions of changes in the frequency spectra were used for the dynamic investigation of the pendulums for different initial conditions of motion. The value of the friction constant was estimated experimentally and incorporated into the equations of motion of the pendulums. This step facilitated the comparison between the computed and measured oscillations.

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Copyright

Copyright © 2006 S. Bendersky and B. Sandler. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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