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Nonlinear and chaotic string vibrations

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Abstract

The nonlinear vibrations of an elastic string are studied. A string is capable of showing nonlinear phenomena including periodic, quasiperiodic, and chaotic motions. Hysteresis is found using the method of slowly varying amplitudes, and chaotic vibrations are predicted for an experimentally accessible regime.


Publication:

American Journal of Physics

Pub Date:
May 1989
DOI:

10.1119/1.16011

Bibcode:
1989AmJPh..57..408T
Keywords:
  • 43.40.Cw;
  • 05.45.+b;
  • Vibrations of strings rods and beams