Divergence and Parametric Instability of Belts by using Bolotin Method | ||
| ALNAHRAIN JOURNAL FOR ENGINEERING SCIENCES | ||
| Article 1, Volume 17, Issue 1, June 2014, Pages 50-59 | ||
| Author | ||
| Mahmud R. Ismail | ||
| Abstract | ||
| Belt is a traveling continuous system.Such a system can subjected to a static divergence and parametric instability. This depend on whether the system parameters are constant or varying with the time ,respectively .In this paper ,instability problem is solved analytically .Bolotin method is used to evaluate the boundaries which separate the stable and instable regions.The present solution is checked with another solution available in the literature where the Variation principle is used .The results showed a good agreement where the maximum error do not exceed 5%. The effect of belt tension and transmitting speed on stability and natural frequency are studied .The results show that increasing belt tension can improve both buckling and parametric instability. Whilst, increasing the speed or its mean value is limited to critical values to avoid buckling or parametric instability, respectively. | ||
| Keywords | ||
| Bolotin method; parametric instability; divergence instability; initial tension | ||
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