The difference equations governing the rotation of a segmented rod under axial force is formulated. The stability boundaries are found to be highly dependent on the number of links, the rotation rate and the compressive force. For a large number of links, the result approaches to that of the continuous elastic rod through some fractional power. The analysis is applicable to segmented drill shafts.
Buckling of a Rotating Rod Under Axial Force
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, October 16, 2003; final revision, January 15, 2004. Associate Editor: S. Mukherjee.
Wang , C. Y. (September 7, 2004). "Buckling of a Rotating Rod Under Axial Force ." ASME. J. Appl. Mech. July 2004; 71(4): 590–593. https://doi.org/10.1115/1.1767165
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