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Beam finite element model of a vibrate wind blade in large elastic deformation

  • Hamdi, Hedi (Applied Mechanics and Engineering Laboratory, National Engineering School of Tunis, University of Tunis El Manar) ;
  • Farah, Khaled (Civil Engineering Laboratory, National Engineering School of Tunis, University of Tunis El Manar)
  • Received : 2017.05.12
  • Accepted : 2017.12.28
  • Published : 2018.01.25

Abstract

This paper presents a beam finite element model of a vibrate wind blade in large elastic deformation subjected to the aerodynamic, centrifugal, gyroscopic and gravity loads. The gyroscopic loads applied to the blade are induced by her simultaneous vibration and rotation. The proposed beam finite element model is based on a simplex interpolation method and it is mainly intended to the numerical analysis of wind blades vibration in large elastic deformation. For this purpose, the theory of the sheared beams and the finite element method are combined to develop the algebraic equations system governing the three-dimensional motion of blade vibration. The applicability of the theoretical approach is elucidated through an original case study. Also, the static deformation of the used wind blade is assessed by appropriate software using a solid finite element model in order to show the effectiveness of the obtained results. To simulate the nonlinear dynamic response of wind blade, the predictor-corrector Newmark scheme is applied and the stability of numerical process is approved during a large time of blade functioning. Finally, the influence of the modified geometrical stiffness on the amplitudes and frequencies of the wind blade vibration induced by the sinusoidal excitation of gravity is analyzed.

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