The European Physical Journal Special Topics

, Volume 222, Issue 7, pp 1707–1731 | Cite as

Analytical periodic motions in a parametrically excited, nonlinear rotating blade

  • F. WangEmail author
  • A.C.J. LuoEmail author
Regular Article


The stability and bifurcation analyses of periodic motions in a rotating blade subject to a torsional excitation are investigated. For high speed rotations, cubic geometric nonlinearity and gyroscopic effects of the rotating blade are considered. From the Galerkin method, the partial differential equation of the nonlinear rotating blade is simplified to the ordinary differential equations, and periodic motions and stability of the rotating blade are studied by the generalized harmonic balance method. The analytical and numerical results of periodic solutions are compared. The rich dynamics and co-existing periodic solutions of the nonlinear rotating blades are investigated.


Periodic Solution Hopf Bifurcation European Physical Journal Special Topic Periodic Motion Energy Harvest 
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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Mechanical and Industrial Engineering, Southern Illinois University EdwardsvilleEdwardsvilleUSA

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