In this paper, a model for the deformation of a rotating prismatic rod-like body is developed and analyzed. The novel feature of the model is its incorporation of the Poisson effect. As a result, it provides realistic solutions for the deformed states of steadily rotating rods. The model presented in this paper is also simplified to a nonlinear version of a classical model for rotating rods. Numerical continuation is used to solve the boundary value problems associated with these models.
On the Steady Motions of a Rotating Elastic Rod
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, August 16, 2000; final revision, January 2, 2001. Associate Editor: N. C. Perkins. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Kinkaid , N. M., O’Reilly, O. M., and Turcotte, J. S. (January 2, 2001). "On the Steady Motions of a Rotating Elastic Rod ." ASME. J. Appl. Mech. September 2001; 68(5): 766–771. https://doi.org/10.1115/1.1381003
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