Free vibration analysis of a string with vibration suppressor (When the position of vibration suppressor is opposite to the pulled position)
A vibration suppressor is used to change the natural frequency of an elevator rope, and to prevent resonance. The elevator rope is modeled using a string. However, the vibration of the string that has a vibration suppressor has been studied for a few conditions because of its geometric nonlinearity....
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| Format: | article |
| Langue: | EN |
| Publié: |
The Japan Society of Mechanical Engineers
2016
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| Accès en ligne: | https://doaj.org/article/4aae7e5c47e448cd98cb9758c6fa5c09 |
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| Résumé: | A vibration suppressor is used to change the natural frequency of an elevator rope, and to prevent resonance. The elevator rope is modeled using a string. However, the vibration of the string that has a vibration suppressor has been studied for a few conditions because of its geometric nonlinearity. In this paper, an exact solution for the free vibration of a string when the position of the vibration suppressor is opposite to the pulled position is presented. In this analysis, a problem of free vibration with a vibration suppressor is transposed to a problem of forced vibration. Further, to verify the validity of this exact solution, a finite difference analysis of the string vibration with a vibration suppressor is performed. The calculated results obtained from the finite difference analysis are in good agreement with those of the exact solution. |
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