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
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Determination of vibration characteristics of multiple-load-path blades by a modified Galerkin's method
D.M. Lauzon,V. R. Murthy +1 more
TL;DR: In this paper, a modified Galerkin's method is developed to determine the natural vibration characteristics of multiple-load-path rotor blades, which follows parallel to the CAMRAD program procedure for a single load-path-blade.
Journal ArticleDOI
Structural Optimization Including Centrifugal and Coriolis Effects
TL;DR: In this paper, the problem of structural optimization in the presence of Coriolis effects was studied for a rotating blade and a rotating beam, where a finite-element formulation was used and optimization was performed by applying nonlinear inverse perturbation.
Inertial Force Coupling to Nonlinear Aeroelasticity of Flexible Wing Aircraft
Nhan T. Nguyen,Eric Ting +1 more
TL;DR: In this paper, the inertial force effect on nonlinear aeroelasticity of flexible wing aircraft is investigated and the effect of large bending deflection is also investigated for truss-braced wing aircraft concept with tension stiffening and inertial forces coupling.
Journal ArticleDOI
Energy expressions and free vibration analysis of a rotating Timoshenko beam featuring bending-bending-torsion coupling
Ozge Ozdemir Ozgumus,Mithat Kaya +1 more
TL;DR: In this paper, free vibration analysis of a uniform, rotating, cantilever Timoshenko beam featuring bending-bending-torsion coupling is performed, where the parameters for the hub radius, rotational speed, rotary inertia, shear deformation and bending-bent-to-torion coupling are incorporated into the energy expressions.
Proceedings ArticleDOI
Static Aeroelastic and Longitudinal Trim Model of Flexible Wing Aircraft Using Finite-Element Vortex-Lattice Coupled Solution
TL;DR: In this article, a static aeroelastic model and longitudinal trim model for the analysis of a flexible wing transport aircraft is presented, which is built using a structural model based on finite-element modeling and coupled to an aerodynamic model using vortex-lattice solution.
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.