Stability analysis of a nonlinear rotating blade with torsional vibrations

2012 ◽  
Vol 331 (26) ◽  
pp. 5755-5773 ◽  
Author(s):  
Fengxia Wang ◽  
Wei Zhang
Keyword(s):  
Stability Analysis ◽  
Torsional Vibrations ◽  
Rotating Blade

Parametric Stability Analysis of Nonlinear Rotating Blades

2011 ◽  
Author(s):  
Fengxia Wang
Keyword(s):  
Stability Analysis ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Rotating Blade ◽  
Geometric Stiffening ◽  
Established Fact ◽  
The Stability ◽  
Stiffening Effect ◽  
Generalized Harmonic Balance Method

The role of the “geometric stiffening” nonlinearities played in the stability analysis of a rotating beam is investigated. It is a well established fact that nonlinear theory must be employed to capture geometric stiffening effect, which has been extensively investigated. In this work, two models are built for a rotating blade with periodically perturbed rotation rate, one is the “effective load” linear model and the other is “geometric stiffening” nonlinear model. Both of these two models are discretisized via Galerkin’s method and a set of parametric excited gyroscopic equations are obtained. The dynamic stability of these two models are studied and compared by the generalized harmonic balance method.

Effect of mass and shear center offset on the dynamic response of a rotating blade

2015 ◽  
Vol 23 (14) ◽  
pp. 2235-2255 ◽  
Author(s):  
Mennatullah M Abdel Hafeez ◽  
Ayman A El-Badawy
Keyword(s):  
Finite Element Method ◽  
Strain Energy ◽  
Torsional Vibrations ◽  
Shear Center ◽  
Coupled Partial Differential Equations ◽  
Natural Modes ◽  
Rotating Blade ◽  
Centrifugal Stiffening ◽  
Initial Excitation ◽  
Stiffening Effect

In this work, a model that accounts for the extensional, chordwise, flapwise and torsional vibrations of a flexible rotating blade was developed. The model also takes into consideration the offset between the elastic and inertial axes of the blade. In order to account for the centrifugal stiffening effect, expression for the strain energy was obtained based on an ordering scheme that retains terms up to 2nd order. Hence, a set of four nonlinear coupled partial differential equations governing the deformations of the blade was derived. The linearized equations were non-dimensionalized and then spatially discretized by the FEM (Finite Element Method). State space techniques were used to obtain the blade's natural modes and response to initial excitation. Effect of the mass and shear center offset on the coupling between the modes and veering regions at different rotor speeds were investigated.

Stability Analysis of Rotating Blade Vibration due to Torsional Excitation

2007 ◽  
Vol 13 (9-10) ◽  
pp. 1379-1391 ◽  
Author(s):  
Y.N. Al-Nassar ◽  
M. Kalyon ◽  
M. Pakdemirli ◽  
B.O. Al-Bedoor
Keyword(s):  
Stability Analysis ◽  
Blade Vibration ◽  
Rotating Blade ◽  
Torsional Excitation
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