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Differential equations of motion for combined flapwise bending, chordwise bending, and torsion of twisted nonuniform rotor blades

TLDR
In this article, the differential equations of motion for the lateral and torsional deformations of twisted rotating beams are developed for application to helicopter rotor and propeller blades, and the generality is such that previous theories involving various simplifications are contained as subcases to the theory presented in this paper.
Abstract
The differential equations of motion for the lateral and torsional deformations of twisted rotating beams are developed for application to helicopter rotor and propeller blades. No assumption is made regarding the coincidence of the neutral, elastic, and mass axes, and the generality is such that previous theories involving various simplifications are contained as subcases to the theory presented in this paper. Special attention is given the terms which are not included in previous theories. These terms are largely coupling-type terms associated with the centrifugal forces. Methods of solution of the equations of motion are indicated by selected examples.

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Aeroelastic stability analysis of composite rotor blade

TL;DR: In this article, the authors presented a coupled motion of a helicopter rotor blade and stability analysis response in the hovering flight condition reinforced by GFRP fiber reinforced by composite material blades.
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Aeroelastic Analysis of Rotor Blades Using Three Dimensional Flexible Multibody Dynamic Analysis

TL;DR: In this paper, a coupling of the existing structural analysis with a quasi-steady aerodynamic analysis based on lifting line theory is proposed to deal with the effect of the aerodynamic loading.
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Flight Dynamic Modeling and Stability Analysis of Flexible Wing Generic Transport Aircraft

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Experimental Validation of Flexible Multibody Dynamics Beam Formulations

TL;DR: In this article, the accuracies of the geometrically exact beam and absolute nodal coordinate formulations are studied by comparing their predictions against an experimen- tal data set referred to as the "Princeton beam experiment."
References
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Book

Theory of elasticity

TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.

Simplified Procedures and Charts for the Rapid Estimation of Bending Frequencies of Rotating Beams

TL;DR: In this paper, a Rayleigh energy approach utilizing the bending mode of the nonrotating beam in the determination of the bending frequency of the rotating beam was presented, which is evaluated and is found to give good practical results for helicopter blades.
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