A mathematical model for horizontal axis wind turbine blades

Li, L.; Li, Y.H.; Liu, Q.K.; Lv, Haiwei

doi:10.1016/j.apm.2013.10.068

Cited by 26 publications

(15 citation statements)

References 27 publications

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“…(20) and the relationship of bending moment and shear force, the force boundary conditions can be expressed as 2 21 22…”

Section: Boundary Conditions Of the Beammentioning

confidence: 99%

See 1 more Smart Citation

Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment

Qin

Yang

et al. 2016

Composite Structures

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“…(20) and the relationship of bending moment and shear force, the force boundary conditions can be expressed as 2 21 22…”

Section: Boundary Conditions Of the Beammentioning

confidence: 99%

“…In Ref. [21], Li et al established a set of partial differential equations governing the nonlinear vibration of horizontal axis wind turbine (HAWT) blades applying the generalized Hamiltonian principle. Examples concerning the static deformation, aeroelasitic stability and dynamics of the blade were given.…”

Section: Introductionmentioning

confidence: 99%

Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment

Qin

Yang

et al. 2016

Composite Structures

Self Cite

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“…Staino and Basu [6] proposed a multimodal mathematical model with variable rotor speed for wind turbine blades and studied the impact of blade rotor speed variation on the edgewise vibration. Li et al [7] studied the flapwise dynamic response of a rotating wind turbine blade subjected to unsteady aerodynamic loads in superharmonic resonance. They used a multiple-scale method to get analytical solutions for positive aerodynamic dampings having the same order with dynamic displacements.…”

Section: Introductionmentioning

confidence: 99%

Anti‐Defect Design for Mechanical Elements under Severe Condition Based on a Half‐Real Defect Model

Zhao

Wang

Yin

et al. 2019

Mathematical Problems in Engineering

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For mechanical elements running under severe working condition, there inevitably exist some small defects caused during working. The weak area, which is sensitive to defects, of the structure is more vulnerable, resulting in early damage during service. This paper describes a novel anti-defect design method for optimizing structure to enhance the reliability of vulnerable areas. First, a half-real defect model derived from the real defect is developed to model the geometrical characteristics of defects. Then, the damage degrees of model parameters are identified by Sobol’s sensitivity method and the vulnerable area can be labeled according to the damage degree. Finally, we take the vulnerable area as the object of anti-defect optimization for structure and the optimization variables are selected tendentiously based on parameters with larger damage degrees. The multiobjective particle swarm algorithm is then employed to find the optimal distribution of the variables in order to improve the safety of the sensitive area of structure. We take the impeller blade as the research subject to verify the validity of the proposed method. Analysis results showed that the proposed method can increase the structure strength and delay the damage of the mechanical elements.

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“…In the process of operation, the blade is subjected to gravity, centrifugal force, and aerodynamic force. These forces cause the blade deformed at four different directions including longitudinal vibration (named axial extension), out of-plane bend (named flap), in-plane/edgewise bend (named lead/lag) and torsion [1]. The aeroelastic response of wind turbine blades is influenced by the structural coupling between bending and torsion of the blade.…”

Section: Introductionmentioning

confidence: 99%

“…Kallesøe [7] establish the nonlinear equations of bending and torsion motion of a rotor blade including the effects from gravity, pitch action and varying rotor speed. Li et al [1] put forward a mathematical model describing the nonlinear vibration of horizontal axis wind turbine blades, and the structural damping of the blade was considered.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Model of Floating Offshore Wind Turbine Blades Considering Bending-Torsion Coupling Effect

Tang

Gao

et al. 2018

Volume 10: Ocean Renewable Energy

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In this paper, an analytical model is proposed to describe the nonlinear vibration of blades on floating offshore wind turbine (FOWT). The bending-torsion coupling equations are derived based on Hamilton’s principle. Comparing with the classical Newtonian method, this approach is more mathematically rigorous and systematic. The flapwise and edgewise deformation, the torsion as well as axial extension of the blades are all included in the model. A set of partial differential equations governing the coupled nonlinear vibration is established, and the results are compared with the multi-body model. Some details about the solution of equations are discussed. The eigen values of a rotating blade is also calculated. The structural model proposed in this paper can be widely used in the future study. For example, it can be coupled with an aerodynamic model to study the aeroelastic properties of the wind turbine blades. The effect of platform motion on blade dynamic response can also be obtained based on this analytical model.

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A mathematical model for horizontal axis wind turbine blades

Cited by 26 publications

References 27 publications

Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment

Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment

Anti‐Defect Design for Mechanical Elements under Severe Condition Based on a Half‐Real Defect Model

An Analytical Model of Floating Offshore Wind Turbine Blades Considering Bending-Torsion Coupling Effect

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