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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Proceedings ArticleDOI
On the dynamics of flexible manipulators
TL;DR: A manipulator with beamlike flexible arms is considered for efficient applicability of methods and care must be taken in nonlinear deflection formulation.
Journal ArticleDOI
Free vibration analysis of a rotating pre-twisted beam subjected to tendon-induced axial loading
Vaclav Ondra,Branislav Titurus +1 more
TL;DR: In this paper, the free vibration of a rotating pre-twisted beam with bending-bending-torsion coupling that is axially loaded by a tendon is investigated, where the tendon is connected to the tip of the beam, passes through its body, and is fixed and loaded at the axis of rotation.
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Stability and natural frequencies of functionally graded stringer-reinforced panels
Victor Birman,Larry W. Byrd +1 more
TL;DR: In this article, an analysis of stability and free vibrations of rectangular functionally graded panels reinforced by a system of parallel stringers is presented, where the exact solution of the problem is illustrated for large aspect ratio panels with simply supported long edges and arbitrary boundary conditions along the short edges.
Proceedings ArticleDOI
Longitudinal Dynamics and Adaptive Control Application for an Aeroelastic Generic Transport Model
TL;DR: In this article, the authors present an aeroelastic model of longitudinal dynamics of a generic transport model (GTM) to account for interactions between wing bending and torsion on aircraft performance and stability.
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.