Abstract
This paper presents a new modeling method for the analysis of torsional vibration of rotating cantilever rods. The natural frequency and mode shape variations due to the rotational motion could be accurately estimated with the modeling method, and the coefficient for the well-known Southwell equation could be obtained, as well. This method has couple of advantages compared to previous conventional modeling methods. Different from the previous modeling methods, the equations of motion of the rotating cantilever rod were derived with consistent linearization in a rigorous way. An eigenvalue problem to obtain the coefficients of the Southwell equation of rotating rods were derived from the original eigenvalue problem.
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Yoo, H.H., Pierre, C. & Ryan, R.R. A new formulation for the torsional vibration analysis of rotating cantilever rods. KSME International Journal 11, 143–154 (1997). https://doi.org/10.1007/BF02944888
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DOI: https://doi.org/10.1007/BF02944888