Open Access
Differential equations of motion for combined flapwise bending, chordwise bending, and torsion of twisted nonuniform rotor blades
John C. Houbolt,George W Brooks +1 more
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.read more
Citations
More filters
Milestones in Rotorcraft Aeromechanics
TL;DR: A milestone is a critical achievement, a turning point, an event marking a significant change or stage in development in rotorcraft aeromechanics as discussed by the authors, which is defined as "a significant change in development or a significant stage in flight dynamics".
Journal ArticleDOI
Vibration Characteristics of Pre-twisted Blades of Asymmetrical Aerofoil Cross-Section
W. Carnegie,B. Dawson +1 more
Journal ArticleDOI
A fully consistent linearized model for vibration analysis of rotating beams in the framework of geometrically exact theory
Davide Invernizzi,Lorenzo Dozio +1 more
TL;DR: In this article, the equations of motions governing the free vibrations of prismatic slender beams rotating in a plane at constant angular velocity are derived according to a geometrically exact approach and additional stiffening terms induced by pre-stress are found in the dynamic equations after fully consistent linearization about the deformed equilibrium configuration.
Book ChapterDOI
Flexible Bodies in Multibody Systems
TL;DR: In this article, the authors consider the effect of geometric stiffening on the motion of general flexible structures, including theoretical background, computer implementation and demonstration of the necessity of its consideration in specific examples.
Dissertation
Static and dynamic behavior of composite helicopter rotor blades under large deflections
TL;DR: Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1989 as mentioned in this paper, Boston, Massachusetts, USA.
References
More filters
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.