Nonlinear Dynamics of the High-Speed Rotating Plate

摘要: High speed rotating blades are crucial components of modern large aircraft engines. The under working condition frequently suffer from the aerodynamic, elastic and inertia loads, which may lead to amplitude nonlinear oscillations. This paper investigates dynamic responses blade with varying in supersonic airflow. is simplified as a pre-twist presetting cantilever composite plate. Warping effect rectangular cross-section plate considered. Based on first-order shear deformation theory von-Karman geometric relationship, partial differential equations motion for derived by using Hamilton’s principle. Galerkin approach applied discretize governing ordinary equations. Asymptotic perturbation method exploited derive four-degree-of-freedom averaged equation case 1 : 3 internal resonance-1/2 sub-harmonic resonance. equation, numerical simulation used analyze influence blade. Bifurcation diagram, phase portraits, waveforms power spectrum prove that periodic chaotic exist vibration