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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1999, Vol. 20 ›› Issue (2): 107-110.

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CHAOTIC MOTION IN NONLINEAR VISCOELASTIC PANELS UNDER FOLLOWER FORCE

Han Qiang, Hu Haiyan   

  1. Han Qiang, Hu Haiyan(Institute of Vibration Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing, 210016
  • Received:1998-05-20 Revised:1998-09-01 Online:1999-04-25 Published:1999-04-25

Abstract:

The chaotic motion of a follower forced panel is studied.A nonlinear dynamic equation is derived, with the effect of nonlinear viscoelasticity taken into account.By means of the Garlerkin approach and the Melnikov function method, the critical condition for chaotic motion is obtained.A demonstrative example is discussed through the Poincare mapping, phase portrait and time history.Finally the route to chaotic motion is also discussed.

Key words: follower for ce, chaos, Poincar e mapping

CLC Number: