Experimental Investigation of Isolated and Simultaneous Internal Resonances in Suspended Cables

[+] Author and Article Information
C. L. Lee, N. C. Perkins

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Ml 48109-2125

J. Vib. Acoust 117(4), 385-391 (Oct 01, 1995) (7 pages) doi:10.1115/1.2874468 History: Received February 01, 1993; Online February 26, 2008


The near resonant response of suspended elastic cables driven by harmonic, planar excitation is investigated experimentally. Measurements of large amplitude cable motions confirm previous theoretical predictions of fundamental classes of internally-resonant responses. For particular magnitudes of equilibrium curvature, strong modal interactions arise through isolated (two-mode) or simultaneous (three-mode) internal resonances. Four qualitatively different periodic responses are observed: (1) pure planar response, (2) 2:1 internally resonant nonplanar response, (3) 1:1 internally resonant nonplanar response, and (4) simultaneous, 2:2:1 internally resonant nonplanar response. Quasiperiodic responses are also observed.

Copyright © 1995 by The American Society of Mechanical Engineers
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