Investigation of a spatial double pendulum: an engineering approach
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 pr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/25193 |
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| _version_ | 1832560355970121728 |
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| author | S. Bendersky B. Sandler |
| author_facet | S. Bendersky B. Sandler |
| author_sort | S. Bendersky |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e7780e8ea1a14a5faccae35647053820 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e7780e8ea1a14a5faccae356470538202025-02-03T01:27:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/2519325193Investigation of a spatial double pendulum: an engineering approachS. Bendersky0B. Sandler1Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, IsraelPearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, IsraelThe 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.http://dx.doi.org/10.1155/DDNS/2006/25193 |
| spellingShingle | S. Bendersky B. Sandler 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://dx.doi.org/10.1155/DDNS/2006/25193 |
| work_keys_str_mv | AT sbendersky investigationofaspatialdoublependulumanengineeringapproach AT bsandler investigationofaspatialdoublependulumanengineeringapproach |