Dynamics of Plane Motion of an Elastic Rod

[+] Author and Article Information
T. M. Atanackovic, L. J. Cveticanin

University of Novi Sad, Trg D. Obradovica 6, 21000 Novi Sad, Yugoslavia

J. Appl. Mech 63(2), 392-398 (Jun 01, 1996) (7 pages) doi:10.1115/1.2788877 History: Received March 11, 1994; Revised March 22, 1995; Online October 26, 2007


Plane motion of an elastic rod, subjected to a compressive force is analyzed. Equations of motions are derived for the case when deformations are not small. It is assumed that the compressive force has a periodic component, so that parametric instability is possible. Stability boundary is estimated analytically and determined numerically. In the special case of static loading a new formula for the slenderness ratio, below which there is no buckling, is obtained. In deriving the differential equations of motion a generalized constitutive equations taking in to account compressibility and shear stresses are used.

Copyright © 1996 by The American Society of Mechanical Engineers
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