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Author:

Zhang, Wei (Zhang, Wei.) | Liu, Huan (Liu, Huan.) | Niu, Yan (Niu, Yan.)

Indexed by:

EI Scopus

Abstract:

In this chapter, nonlinear dynamic behaviors of the variable cross-section rotating blades are studied. The blade is considered to be a rotating cantilever plate model with variable cross-section. Considering the influence of centrifugal force, variable rotating speed and cross-section warp. In the light of the Hamilton's principle, the von Karman deformation theory and the third-order shear deformation theory, we can derive the ordinary differential equation by using Galerkin method from the nonlinear partial differential equations. The multiple scales is applied to get the averaged equations with the 1:3 internal resonance of the rotating blades. Using numerical simulation to study the effects of aerodynamic forces and disturbance amplitude of the rotating blades on nonlinear dynamic behaviors. It shows that the rotating blades performs complex nonlinear dynamic behaviors, such as single periodic, chaotic motions, multiple periodic and quasi-periodic. © Published under licence by IOP Publishing Ltd.

Keyword:

Shear deformation Ordinary differential equations Rotating machinery Nonlinear equations Aerodynamics Galerkin methods Turbomachine blades Partial differential equations

Author Community:

  • [ 1 ] [Zhang, Wei]College of Engineering Mechanics, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Liu, Huan]College of Engineering Mechanics, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Niu, Yan]College of Engineering Mechanics, Beijing University of Technology, Beijing; 100124, China

Reprint Author's Address:

  • 张伟

    [zhang, wei]college of engineering mechanics, beijing university of technology, beijing; 100124, china

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Source :

ISSN: 1757-8981

Year: 2019

Issue: 1

Volume: 531

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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