Open AccessNonlinear dynamics of rotating blades with variable cross-section
Author(s) -
Wei Zhang,
Huan Liu,
Yan Niu
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/531/1/012051
Subject(s) - nonlinear system , galerkin method , classical mechanics , mechanics , aerodynamics , physics , cross section (physics) , partial differential equation , ordinary differential equation , variable (mathematics) , cantilever , multiple scale analysis , differential equation , mathematical analysis , mathematics , structural engineering , engineering , quantum mechanics
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.