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
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On the dynamics of flexible yanipulators
TL;DR: In this paper, a manipulator with beam-like flexible arms is considered, and efficient applicability of methods, which are briefly reviewed, is an important problem in the mathematical description of such systems.
Comprehensive analysis of helicopters with bearingless rotors
TL;DR: In this paper, a modified Galerkin method is developed to analyze the dynamic problems of multiple-load-path bearingless rotor blades and the development and selection of functions are quite parallel to CAMRAD procedures.
MBDyn Input File Format Version 1.3.13
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Dissertation
Arbitrarily Curved and Twisted Space Beams
TL;DR: In this article, a derivation of the equations which govern the deformation of an arbitrarily curved and twisted space beam is presented, which differ from those of the classical theory in that extensional effects are included; strain-displacement relations are derived; and expressions for the stress resultants are developed from the strain displacement relations.
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.