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A dynamic rotating blade model at an arbitrary stagger angle based on classical plate theory and the Hamilton's principle

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TLDR
In this paper, a dynamic model based on classical plate theory is presented to investigate the vibration behavior of a rotating blade at an arbitrary stagger angle and rotation speed, and the Hamilton's principle is applied to the model.
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This article is published in Journal of Sound and Vibration.The article was published on 2013-03-04. It has received 58 citations till now. The article focuses on the topics: Hamilton's principle & Plate theory.

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Citations
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General shell model for a rotating pretwisted blade

TL;DR: In this article, a novel dynamic model for a pretwisted rotating compressor blade mounted at an arbitrary stagger angle using general shell theory and including the rotational velocity is developed to study the eigenfrequencies and damping properties of the pre-strained rotating blade.
Journal ArticleDOI

Free vibration analysis of a pre-twisted sandwich blade with thermal barrier coatings layers

TL;DR: In this paper, a rotating cantilever sandwich-plate model with a pre-twisted and pre-set angle has been developed to investigate the vibrational behavior of an aero-engine turbine blade with thermal barrier coating (TBC) layers.
Journal ArticleDOI

Nonlinear dynamic responses of rotating pretwisted cylindrical shells

TL;DR: In this paper, a rotating pretwisted cylindrical shell model with a presetting angle is established to investigate nonlinear dynamic responses of the aero-engine compressor blade.
Journal ArticleDOI

Vibration characteristics of a rotating pre-twisted composite laminated blade

TL;DR: In this article, a new dynamic model based on the shell theory is presented to investigate the vibration behavior of a rotating composite laminated blade with a pre-twisted angle, where the effects of the Coriolis and centrifugal forces due to the rotation motion of the blade are considered in the formulation.
Journal ArticleDOI

Free vibration of rotating cantilever pre-twisted panel with initial exponential function type geometric imperfection

TL;DR: In this paper, a new vibration model for the rotating blade which is treated as a cantilever pre-twisted panel with initial exponential function type geometric imperfection is provided by using the shallow shell theory in which the torsion is considered but the two radii of curvatures are zero.
References
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Journal ArticleDOI

Application of differential quadrature to static analysis of structural components

TL;DR: In this article, the numerical technique of differential quadrature for the solution of linear and non-linear partial differential equations, first introduced by Bellman and his associates, is applied to the equations governing the deflection and buckling behaviour of one-and two-dimensional structural components.
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Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates

TL;DR: In this article, a new methodology for implementing the clamped and simply supported boundary conditions is presented for the free vibration analysis of beams and plates using the generalized differential quadrature (GDQ) method.
Book

Thin-Walled Composite Beams: Theory and Application

TL;DR: In this article, the Equations of Motion of Open/Closed Cross-Section Beams and Linear Beam Theory have been studied in the context of thin-walled beams.
Journal ArticleDOI

Natural frequencies of a pre-twisted blade in a centrifugal force field

TL;DR: In this paper, the authors derived the partial differential equation of motion for the transverse deflection of a rotating pre-twisted plate by considering it as a plate of an equivalent rectangular cross-section subjected to a quasi-static load due to a centrifugal force field.
Journal ArticleDOI

Vibration analysis of rotating cantilever plates

TL;DR: In this article, a finite element technique is used to determine the natural frequencies and the mode shapes of a cantilever plate mounted on the periphery of a rotating disc, where the plate is assumed to make any arbitrary angle with the plane of rotation of the disc.
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