Curved and Twisted Beam Models for Aeroelastic Analysis of Wind Turbine Blades in Large Displacement

Migliaccio, Giovanni; Ruta, Giuseppe; Bennati, Stefano; Barsotti, Riccardo

doi:10.1007/978-3-030-41057-5_144

Cited by 4 publications

(4 citation statements)

References 19 publications

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“…General non-prismatic beams still require investigations to obtain stress and strain by a rigorous, yet application-oriented, model; indeed, the cross-section pre-twist and taper and the centre-line curvature should be explicitly considered; in addition, one should not limit to small displacements, even though usual formulas should be recovered in the trivial cases. This paper extends previous works by the authors [11,12,25] in that it considers the effects of the geometric pre-twist on the behaviour of bi-tapered beams undergoing large displacements of the axis, in-and out-of-plane cross-sectional warping and small strains. The main objective is the evaluation of the effects of the pre-twist superposed to those of the taper on the stress and strain fields in such structural elements.…”

Section: Introductionsupporting

confidence: 52%

“…where non-linear elastic coupling between inner actions is considered; [21], investigating tapered elements; [22], discussing various kinematic representations for beams modelling; [23][24], highlighting the inadequacies of usual design formulas for tapered beams; and a paper by the authors [25], introducing a beam model derived from three-dimensional continua and suitable for the above quoted engineering applications; reviews are in [7][8][26][27].…”

Section: Introductionmentioning

confidence: 99%

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The influence of an initial twisting on tapered beams undergoing large displacements

Migliaccio

Ruta

2021

Meccanica

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The behaviour of pre-twisted and tapered beams (such as turbine or helicopter blades) is characterized by stress distributions that may be quite different from those of the usual beam theory, yielding couplings among bending, twisting and traction. We propose a physical-mathematical model for tapered beams that accounts for the effects of the pre-twist of the cross-sections along the centreline. The beam centre-line may undergo large displacements, while its cross-sections see small warping both in-and out of their plane. Supposing infinitesimal strain, a variational approach provides the field equations, which are perturbed in terms of a small geometric ratio and shall be solved numerically in general. However, analytical closed-form solutions exist in some cases, such as for isotropic beams with pre-twisted, bi-tapered elliptic cross-sections; they are presented and compared with the results of nonlinear 3D-FEM simulations.

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Section: Introductionsupporting

confidence: 52%

Section: Introductionmentioning

confidence: 99%

The influence of an initial twisting on tapered beams undergoing large displacements

Migliaccio

Ruta

2021

Meccanica

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“…Over the years many theories have been proposed for beam-like structures, from classical beam models for extension, twisting and bending [5], to formulations which include transverse shear deformation [6], to geometrically exact and asymptotic approaches, involving the research efforts of many investigators [7][8][9][10][11][12][13]. The available theories may be broadly grouped into engineering theories and mathematical ones.…”

Section: Introductionmentioning

confidence: 99%

Rotor blades as curved, twisted and tapered beam-like structures subjected to large deflections

Migliaccio

Ruta

2020

Engineering Structures

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“…Generally speaking, structural analyses show that the models and formulas commonly used for prismatic beams provide incorrect results in non-prismatic cases, as the variations in the dimensions and orientation of the transverse cross-sections produce non-trivial stress distributions absent in prismatic beams [9][10]. To date several models have been proposed for beamlike bodies, ranging from linear theories [11][12][13] to geometrically exact and asymptotic approaches [14][15][16][17][18][19][20]. However, investigations are still required to develop rigorous yet application-oriented models for three-dimensional non-prismatic beams, which explicitly account for important geometric features (such as taper), account for large displacements, directly furnish the 3D stress and strain fields, and provide known results in prismatic cases.…”

Section: Introductionmentioning

confidence: 99%

Efficient and Accurate Modeling of Non-Prismatic Beamlike Structures

Migliaccio¹

2021

14th International Conference on Evolutionary and Deterministic Methods for Design, Optimization and Control

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Many complex engineering structures, e.g. components of helicopters, wind turbines, aircraft wings and propellers, are beamlike and non-prismatic. Structures of this kind may be tapered, pre-twisted, and even curved in their unstressed state, and undergo large displacements and 3D cross-sectional warping. Their mechanical modeling can be addressed via non-prismatic beam elements providing the appropriate compromise between computational efficiency and accuracy. Over the years many models have been proposed for beamlike structures, but general non-prismatic cases still require investigation. Formulas valid for prismatic beams, for example, generally provide incorrect results in non-prismatic cases, as the variation in the dimensions and orientation of the transverse cross-sections produce non-trivial stress distributions absent in prismatic beams. A model suitable for the aforementioned non-prismatic elements should properly describe their shape, explicitly consider the effects of their geometric design features on their stress and strain fields, account for large displacements, and provide the known results of prismatic cases. We propose a physical-mathematical model that accounts for all such requirements. The non-prismatic beam is seen as a collection of plane figures (the transverse cross-sections) attached at a 3D curve (the beam's centre-line). The centre-line's points may undergo large displacements. The transverse cross-sections are fully deformable and may undergo warpings in and out of plane. Assuming small warping and strain fields, a variational approach provides the field equations. The model obtained enables evaluating even analytically the effects of geometric parameters (such as taper) on the stress and strain fields. Numerical examples and comparisons with the results of nonlinear 3D-FEM analyses confirm the effectiveness of the proposed modeling approach.

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Curved and Twisted Beam Models for Aeroelastic Analysis of Wind Turbine Blades in Large Displacement

Cited by 4 publications

References 19 publications

The influence of an initial twisting on tapered beams undergoing large displacements

The influence of an initial twisting on tapered beams undergoing large displacements

Rotor blades as curved, twisted and tapered beam-like structures subjected to large deflections

Efficient and Accurate Modeling of Non-Prismatic Beamlike Structures

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