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Author:

Liu, Gen (Liu, Gen.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus

Abstract:

The nonlinear vibrations of a laminated composite cantilever plate under subsonic air flow are investigated in this chapter. According to the ideal incompressible fluid condition and the Kutta-Joukowski lift theorem, the subsonic aerodynamic lift on the lifting surface is calculated by using the Vortex Lattice (VL) method. Then, the finite length plate is modeled as a laminated composite cantilever plate based on the Reddy's third-order shear deformation plate theory. Moreover, the von Karman geometry nonlinearity is introduced. The nonlinear partial differential governing equations of motion for the laminated composite cantilever plate subjected to the subsonic aerodynamic force are established via Hamilton's principle. The Galerkin method is used to separate the partial differential equations into two nonlinear ordinary differential equations, and the four-dimensional nonlinear averaged equations are obtained by multiple scales method. Through comparing the natural frequencies of the linear system with different material and geometry parameters, the 1:2 internal resonance is considered here. Corresponding to several selected parameters, the frequency-response curves are obtained. The hardeningspring- type behaviors and jump phenomena are exhibited. © 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.

Keyword:

Nonlinear equations Control nonlinearities Laminating Air Shear deformation Shear flow Galerkin methods Frequency response Ordinary differential equations Plates (structural components) Nanocantilevers Linear systems Crystal lattices Equations of motion Vibrations (mechanical) Partial differential equations Laminated composites Vortex flow

Author Community:

  • [ 1 ] [Liu, Gen]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical, College of Mechanical Engineering, Beijing University of Technology, Beijing, China
  • [ 2 ] [Zhang, Wei]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical, College of Mechanical Engineering, Beijing University of Technology, Beijing, China

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Year: 2020

Page: 247-255

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 13

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