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Author:

Chen, Yan-Ping (Chen, Yan-Ping.) | Yao, Ming-Hui (Yao, Ming-Hui.) | Zhang, Wei (Zhang, Wei.) | Wang, Qian (Wang, Qian.)

Indexed by:

EI Scopus

Abstract:

Perturbation analysis and chaotic dynamics of the rotating blade with varying angular speed are investigated. Centrifugal force, aerodynamic load and the perturbed angular speed due to the inconstant air velocity are considered. The rotating blade is treated as a pre-twist, presetting, thin-walled rotating cantilever beam. The nonlinear governing partial differential equations of the varying angular rotating blade are established by using Hamilton's principle. Then, the ordinary differential equations of the rotating blade are obtained by employing the Galerkin's approach during which Galerkin's modes satisfy corresponding boundary conditions. The four-dimensional nonlinear averaged equations are obtained by applying the method of multiple scales. In this paper, the resonant case is 1:2 internal resonance-1/2 subharmonic resonance. The numerical simulation is used to investigate chaotic dynamics of the varying angular rotating blade. The results show that the system is sensitive to the rotating speed and there are chaotic motions. Copyright © 2011 by ASME.

Keyword:

Thin walled structures Ordinary differential equations Boundary conditions Rotating machinery Nonlinear equations Design Dynamics Galerkin methods Air

Author Community:

  • [ 1 ] [Chen, Yan-Ping]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Yao, Ming-Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 4 ] [Wang, Qian]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

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Source :

Year: 2011

Issue: PARTS A AND B

Volume: 4

Page: 571-579

Language: English

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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