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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.
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Year: 2020
Page: 247-255
Language: English
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WoS CC Cited Count: 0
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 13
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