Spherical Pendulum Small Oscillations for Slewing Crane Motion
The present paper focuses on the Lagrange mechanics-based description of small oscillations of a spherical pendulum with a uniformly rotating suspension center. The analytical solution of the natural frequencies’ problem has been derived for the case of uniform rotation of a crane boom. The payload...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/451804 |
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| author | Alexander V. Perig Alexander N. Stadnik Alexander I. Deriglazov |
| author_facet | Alexander V. Perig Alexander N. Stadnik Alexander I. Deriglazov |
| author_sort | Alexander V. Perig |
| collection | DOAJ |
| description | The present paper focuses on the Lagrange mechanics-based description of small oscillations of a spherical pendulum with a uniformly rotating suspension center. The analytical solution of the natural frequencies’ problem has been derived for the case of uniform rotation of a crane boom. The payload paths have been found in the inertial reference frame fixed on earth and in the noninertial reference frame, which is connected with the rotating crane boom. The numerical amplitude-frequency characteristics of the relative payload motion have been found. The mechanical interpretation of the terms in Lagrange equations has been outlined. The analytical expression and numerical estimation for cable tension force have been proposed. The numerical computational results, which correlate very accurately with the experimental observations, have been shown. |
| format | Article |
| id | doaj-art-c30a2dbc865442ebb8f75cff8d222116 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-c30a2dbc865442ebb8f75cff8d2221162025-02-03T01:22:30ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/451804451804Spherical Pendulum Small Oscillations for Slewing Crane MotionAlexander V. Perig0Alexander N. Stadnik1Alexander I. Deriglazov2Manufacturing Processes and Automation Engineering Department, Engineering Automation Faculty, Donbass State Engineering Academy, Shkadinova 72, Donetsk Region, Kramatorsk 84313, UkraineDepartment of Technical Mechanics, Engineering Automation Faculty, Donbass State Engineering Academy, Shkadinova 72, Donetsk Region, Kramatorsk 84313, UkraineDepartment of Technical Mechanics, Engineering Automation Faculty, Donbass State Engineering Academy, Shkadinova 72, Donetsk Region, Kramatorsk 84313, UkraineThe present paper focuses on the Lagrange mechanics-based description of small oscillations of a spherical pendulum with a uniformly rotating suspension center. The analytical solution of the natural frequencies’ problem has been derived for the case of uniform rotation of a crane boom. The payload paths have been found in the inertial reference frame fixed on earth and in the noninertial reference frame, which is connected with the rotating crane boom. The numerical amplitude-frequency characteristics of the relative payload motion have been found. The mechanical interpretation of the terms in Lagrange equations has been outlined. The analytical expression and numerical estimation for cable tension force have been proposed. The numerical computational results, which correlate very accurately with the experimental observations, have been shown.http://dx.doi.org/10.1155/2014/451804 |
| spellingShingle | Alexander V. Perig Alexander N. Stadnik Alexander I. Deriglazov Spherical Pendulum Small Oscillations for Slewing Crane Motion The Scientific World Journal |
| title | Spherical Pendulum Small Oscillations for Slewing Crane Motion |
| title_full | Spherical Pendulum Small Oscillations for Slewing Crane Motion |
| title_fullStr | Spherical Pendulum Small Oscillations for Slewing Crane Motion |
| title_full_unstemmed | Spherical Pendulum Small Oscillations for Slewing Crane Motion |
| title_short | Spherical Pendulum Small Oscillations for Slewing Crane Motion |
| title_sort | spherical pendulum small oscillations for slewing crane motion |
| url | http://dx.doi.org/10.1155/2014/451804 |
| work_keys_str_mv | AT alexandervperig sphericalpendulumsmalloscillationsforslewingcranemotion AT alexandernstadnik sphericalpendulumsmalloscillationsforslewingcranemotion AT alexanderideriglazov sphericalpendulumsmalloscillationsforslewingcranemotion |