On the Steady Motions of a Rotating Elastic Rod

Author:

Kinkaid N. M.1,O’Reilly O. M.1,Turcotte J. S.2

Affiliation:

1. Department of Mechanical Engineering, University of Berkeley, Berkeley, CA 94720-1740

2. AFRL/VAS, Building 45, 2130 Eighth Street, Suite 1, Wright-Patterson AFB, OH 45433-7765

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Modeling Nonlinear Problems in the Mechanics of Strings and Rods;Interaction of Mechanics and Mathematics;2017

2. Green and Naghdi’s Rod Theory;Modeling Nonlinear Problems in the Mechanics of Strings and Rods;2017

3. Exact formulations of non-linear planar and spatial Euler–Bernoulli beams with finite strains;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2011-09-27

4. Modified Nonlinear 3D Euler Bernoulli Beam Theory;Journal of System Design and Dynamics;2008

5. Longitudinal vibration frequencies of steadily whirling rods;The Journal of the Acoustical Society of America;2006

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