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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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Citations
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Journal ArticleDOI

The HART II international workshop: an assessment of the state of the art in CFD/CSD prediction

TL;DR: The HART II workshop as mentioned in this paper provides a unique opportunity to assess the ability of CFD/CSD to capture rotor aeroelastic simulations with the application of computational fluid dynamics methods coupled with computational structural dynamics codes.
Journal ArticleDOI

Axial–torsional vibrations of rotating pretwisted thin walled composite beams

TL;DR: In this paper, the axial-torsional vibrations of rotating pretwisted thin-walled composite box beams exhibiting primary and secondary warping are investigated and coupled nonlinear axial torsional equations of motion are derived using Hamilton's principle.
Dissertation

Fundamental Understanding, Prediction and Validation of Rotor Vibratory Loads in Steady-Level Flight

Anubhav Datta
TL;DR: In this article, Datta et al. developed a comprehensive analysis capability for accurate and consistent prediction of rotor vibratory loads in steady level flight, which is the dominant source of helicopter vibration.
Journal ArticleDOI

Vibratory behavior of twisted cantilevered plates

TL;DR: In this paper, a combined numerical-experimental study of the effects of varying tip twist and increasing centrifugal loading on the resonant characteristics of cantilevered plates is presented.
Proceedings ArticleDOI

Flight Dynamics of Flexible Aircraft with Aeroelastic and Inertial Force Interactions

TL;DR: In this article, an integrated flight dynamic modeling method for flexible aircraft that captures coupled physics effects due to inertial forces, aeroelasticity, and propulsive forces that are normally present in flight is presented.
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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