Journal ArticleDOI
Coupled bending–bending–torsion vibration analysis of rotating pretwisted blades: an integral formulation and numerical examples
TLDR
In this paper, a new approximate method is presented for the analysis of the modal characteristics of straight, pretwisted non-uniform blades corresponding to the coupled flapwise bending, chordwise bending and torsion of both rotating and non-rotating blades.About:
This article is published in Journal of Sound and Vibration.The article was published on 1997-10-02. It has received 61 citations till now. The article focuses on the topics: Torsional vibration & Torsion (mechanics).read more
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Closed form solutions for the dynamic response of Euler–Bernoulli beams with step changes in cross section
TL;DR: In this paper, an analytical solution for the dynamic response of a discontinuous beam with one step change and an aligned neutral axis is provided. Butler et al. considered the case of free-free boundary conditions to obtain direct frequency response functions due to harmonic force or couple excitation at either end location, which is confirmed through a series of experimental tests and via comparison to receptance coupling methods.
Journal ArticleDOI
Analysis on nonlinear oscillations and resonant responses of a compressor blade
TL;DR: In this paper, the nonlinear oscillations and the steady-state responses of a thin-walled compressor blade of a gas turbine engines with varying rotating speed under high-temperature supersonic gas flow were investigated.
Journal ArticleDOI
A new dynamic finite element (dfe) formulation for lateral free vibrations of euler–bernoulli spinning beams using trigonometric shape functions
TL;DR: In this article, a non-dimensional formulation is adopted, and the frequency dependent trigonometric shape functions are used to find a simple frequency dependent element stiffness matrix which has both mass and stiffness properties.
Journal ArticleDOI
Fundamental vibration of rotating cantilever blades with pre-twist
TL;DR: In this paper, a non-linear strain-displacement relationship of a pre-twisted conical shell on the general shell theory is utilized, and a method for vibration of a rotating cantilever conical shells with pretwist is developed by the principle of virtual work and the Rayleigh-Ritz method.
Journal ArticleDOI
The Instability and Vibration of Rotating Beams With Arbitrary Pretwist and an Elastically Restrained Root
TL;DR: In this paper, the boundary conditions for the coupled bending-bending-extensional vibration of a rotating nonuniform beam with arbitrary pretwist and an elastically restrained root are derived by Hamilton's principle.
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