Nonintegrability of an Infinite-Degree-of-Freedom Model for Unforced and Undamped, Straight Beams

[+] Author and Article Information
K. Yagasaki

Department of Mechanical and Systems Engineering, Gifu University, Gifu, Gifu 501-1193, Japan

J. Appl. Mech 70(5), 732-738 (Oct 10, 2003) (7 pages) doi:10.1115/1.1602483 History: Received July 04, 2002; Revised February 20, 2003; Online October 10, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
Transverse deformation of an initially straight beam
Grahic Jump Location
Orbits of the Poincaré map of Eq. (8) with N=2 for j1=1,j2=2,ω1=1,ω2=3.2, and H=11. (b) is an enlargement of (a) near the origin.
Grahic Jump Location
Numerically computed stable and unstable manifolds of a periodic orbit for the Poincaré map of Eq. (8) with N=2. The same parameter values as in Fig. 2 are taken.




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