Multi-pulse orbits in nonlinear non-planar motion of a cantilever beam
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    Abstract:

    First we formulated a set of integral-partial differential governing equations,which describes the non-linear non-planar oscillations of a cantilever beam.Then by applying the Galerkin procedure and the multi-scale method,we obtained the averaged equations;From the partial differential governing equations and from the averaged equation and by using the theory of normal form,we found the explicit formulas of normal form.Based on the normal form obtained above,the dissipative version of the energy-phrase method was utilized to analyze the multi-pulse Shilnikov type orbits.The numerical simulations shows that the multi-pulse Shlnikov type orbits do exist in the nonlinear nonplanar oscillations of the cantilever beam.

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History
  • Received:March 12,2004
  • Revised:May 10,2004
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