Nonlinear vibrations and internal resonance of pretwisted rotating cantilever rectangular plate with varying cross-section and aerodynamic force

摘要: Abstract This paper investigates the complex nonlinear vibrations and internal resonance of rotating blade subjected to aerodynamic force, which is simplified a pretwisted cantilever rectangular plate with varying cross-section speed. Considering effects warping, presetting angles, partial differential governing equations motion are established based on third-order shear deformation theory, von Karman large theory Hamilton principle. Two-degree-of-freedom ordinary obtained by using Galerkin method. The method multiple scales applied obtain averaged under case primary parametric resonance-1/2 subharmonic 1:2 resonance. Numerical simulations performed portray amplitude-frequency response amplitude-force curves, bifurcations chaotic dynamics discussing influences force speed perturbation. bifurcation diagrams, maximum Lyapunov exponents, phase portraits, waveforms Poincare maps utilized illustrate plate.