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Assessment of Beam Modeling Methods for Rotor Blade Applications

TLDR
The goal of this paper is to objectively assess theories within a common framework and it is hoped that this will be a first step toward the clearly desirable situation in which an engineer can safely and easily choose a composite beam theory based on the type of application and specific needs for fidelity.
Abstract
There is no lack of composite beam theories. Quite to the contrary, there might be too many of them. Different approaches, notation, etc., are used by the authors of those theories, so it is not always straightforward to compare the assumptions made and to assess the quantitative consequences of those assumptions. Moreover, there is a serious lack of experimental results and benchmark problems. As a result, one finds that most theories perform about equally well on the few extant benchmark problems. This can obscure differences among theories and simultaneously create the false expectation that a specific theory will perform as well in all cases. The goal of this paper is to attempt to objectively assess theories within a common framework. The validity and relative importance of various assumptions that are present in the literature are discussed. It is hoped that this will be a first step toward the clearly desirable situation in which an engineer can safely and easily choose a composite beam theory based on the type of application and specific needs for fidelity.

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Citations
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On Timoshenko-like modeling of initially curved and twisted composite beams

TL;DR: In this paper, a generalized finite-element-based, cross-sectional analysis for nonhomogenous, initially curved and twisted, anistropic beams is formulated from geometrically nonlinear, three-dimensional elasticity.
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Validation of the Variational Asymptotic Beam Sectional Analysis

TL;DR: The VABS (Variational Asymptotic Beam Section Analysis) algorithm as mentioned in this paper uses the variational asymptotics to split a three-dimensional nonlinear elasticity problem into a two-dimensional linear cross-sectional analysis and a one-dimensional, nonlinear beam problem.
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Multi-material topology optimization of laminated composite beam cross sections

TL;DR: In this article, a framework for simultaneous optimization of topology and laminate properties in structural design of laminated composite beam cross sections is presented. But the optimization framework is based on a multi-material topology optimization model in which the design variables represent the amount of the given materials in the cross section.
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Dynamics, vibration and control of rotating composite beams and blades: A critical review

TL;DR: In this article, a comprehensive review of articles about rotating composite beams and blades is presented, which addresses analytical, semi-analytical and numerical studies dealing with dynamical problems involving adaptive/smart/intelligent materials (e.g., piezoelectric materials, electrorheological fluids, shape memory alloys, etc.), damping and vibration control, advanced composite materials, complicating effects and loadings, and experimental methods.
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Generalized Timoshenko Theory of the Variational Asymptotic Beam Sectional Analysis

TL;DR: The generalized Timoshenko theory for composite beams embedded in the computer program VABS has the same structure as Timoshenko's original theory for isotropic beams without the restrictive assumptions of the original theory as mentioned in this paper.
References
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Journal ArticleDOI

LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars

TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
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A new rectangular beam theory

TL;DR: In this paper, a new theory for beams of rectangular cross-section which includes warping of the cross-sections is presented, and results for two typical static examples are given for both the new theory and Timoshenko beam theory.
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Anisotropic beam theory and applications

TL;DR: In this paper, the stiffness and the stresses of a beam section made of anisotropic and non-homogeneous materials such as the rotor blades of a modern helicopter or of a large wind generator are calculated.
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Formulation and evaluation of an analytical model for composite box-beams

TL;DR: In this article, a direct method for determining the effective elastic stiffnesses and deformation behavior of composite box-beam (BB) structures is developed analytically, validated, and demonstrated.
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Theory of anisotropic thin-walled closed-cross-section beams

TL;DR: In this paper, a variationally and asymptotically consistent theory is developed in order to derive the governing equations of anisotropic thin-walled beams with closed sections.
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