Abstract
In this paper, the nonlinear dynamic responses of the blade with variable thickness are investigated by simulating it as a rotating pretwisted cantilever conical shell with variable thickness. The governing equations of motion are derived based on the von Kármán nonlinear relationship, Hamilton’s principle, and the first-order shear deformation theory. Galerkin’s method is employed to transform the partial differential governing equations of motion to a set of nonlinear ordinary differential equations. Then, some important numerical results are presented in terms of significant input parameters.
Highlights
Rotating blades can be found in different engineering problems as the key component of aircraft engines
The nonlinear dynamic responses of the blade with variable thickness are investigated by simulating it as a rotating pretwisted cantilever conical shell with variable thickness. e governing equations of motion are derived based on the von Karman nonlinear relationship, Hamilton’s principle, and the first-order shear deformation theory
In order to describe the nonlinear dynamic responses of the blade with variable thickness, this paper presents a rotating pretwisted cantilever conical shell with variable thickness to investigate the effects of the varying rotating speed, external force, and external moment on the dynamic behaviors
Summary
Rotating blades can be found in different engineering problems as the key component of aircraft engines. Bandyopardhyay et al [12] investigated the hygrothermal effects on the free vibration characteristics of delaminated carbon-epoxy composite pretwisted rotating conical shells. E study of free vibration characteristics of isotropic and multilayered composite shallow conical shells with pretwists have been carried out by Lim et al [17] and Lee et al [8] using the FSDT. Deb Singha et al [24] studied the influence of elevated temperature and moisture absorption on the free vibration behavior of rotating pretwisted sandwich conical shells consisting of two composite face sheets and a synthetic foam core. The nonlinear dynamic responses of the blade with variable thickness are investigated by simulating it as a rotating pretwisted cantilever conical shell with variable thickness. Galerkin’s method is employed to transform the partial differential governing equations of motion to a set of nonlinear ordinary differential equations. en, the effects of the varying rotating speed, external force, and external moment on the dynamic behavior of the blade are studied
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