Investigation of a spatial double pendulum: an engineering approach
<p>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 co...
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| Format: | Article |
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| Language: | English |
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Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/25193 |
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| collection | DOAJ |
| description | <p>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.</p> |
| format | Article |
| id | doaj-art-4c65be0bc08e49249a5f701f85234b3c |
| institution | Kabale University |
| issn | 1026-0226 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4c65be0bc08e49249a5f701f85234b3c2025-08-20T03:36:14ZengWileyDiscrete Dynamics in Nature and Society1026-02262006-01-012006Investigation of a spatial double pendulum: an engineering approach<p>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.</p>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/25193 |
| spellingShingle | Investigation of a spatial double pendulum: an engineering approach Discrete Dynamics in Nature and Society |
| title | Investigation of a spatial double pendulum: an engineering approach |
| title_full | Investigation of a spatial double pendulum: an engineering approach |
| title_fullStr | Investigation of a spatial double pendulum: an engineering approach |
| title_full_unstemmed | Investigation of a spatial double pendulum: an engineering approach |
| title_short | Investigation of a spatial double pendulum: an engineering approach |
| title_sort | investigation of a spatial double pendulum an engineering approach |
| url | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/DDNS/2006/25193 |