As the size of wind turbines continues to increase, there is a growing necessity for both computational and experimental methods to assess aeroelastic stability and dynamic response. The objective of this study is to conduct a numerical simulation aimed at examining the nonlinear dynamic behavior of a horizontal-axis wind turbine blade, and to evaluate the validity of an analytical model by comparison with numerical results. In this context, we treat the turbine blade as a flexible structure, with its motion described by a discretized equation in the spatial domain utilizing beam finite elements. A structural analysis is performed using the commercial finite element software ABAQUS. The linear modal analysis was conducted using the ABAQUS/Standard module to determine natural frequencies and mode shapes. Subsequently, a geometrically nonlinear dynamic analysis was carried out by enabling large deformation effects to assess the blade's dynamic response under gravitational loading and a harmonic sinusoidal force. This analysis incorporates geometric nonlinearities resulting from large deformations, allowing for a thorough understanding of the blade's performance under operational conditions. The modal analysis identified the main natural frequencies and associated mode shapes. The nonlinear dynamic simulation revealed oscillatory behavior characterized by irregular velocity peaks and phase diagram loops, confirming the presence of nonlinear effects induced by large deformations. The comparison between the analytical model and the finite element results showed good agreement. The study confirms that the dynamic behavior of wind turbine blades is significantly influenced by geometric nonlinearities due to large elastic deformations. The proposed analytical model was validated by finite element results and proved effective in predicting the essential dynamic characteristics of the blade under operational conditions.

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Nonlinear Response of Wind Turbine Blades Using Beam Element Method

  • Rania Maktouf,
  • Majdi Yangui,
  • Fathi Djemal,
  • Rachid Nasri

摘要

As the size of wind turbines continues to increase, there is a growing necessity for both computational and experimental methods to assess aeroelastic stability and dynamic response. The objective of this study is to conduct a numerical simulation aimed at examining the nonlinear dynamic behavior of a horizontal-axis wind turbine blade, and to evaluate the validity of an analytical model by comparison with numerical results. In this context, we treat the turbine blade as a flexible structure, with its motion described by a discretized equation in the spatial domain utilizing beam finite elements. A structural analysis is performed using the commercial finite element software ABAQUS. The linear modal analysis was conducted using the ABAQUS/Standard module to determine natural frequencies and mode shapes. Subsequently, a geometrically nonlinear dynamic analysis was carried out by enabling large deformation effects to assess the blade's dynamic response under gravitational loading and a harmonic sinusoidal force. This analysis incorporates geometric nonlinearities resulting from large deformations, allowing for a thorough understanding of the blade's performance under operational conditions. The modal analysis identified the main natural frequencies and associated mode shapes. The nonlinear dynamic simulation revealed oscillatory behavior characterized by irregular velocity peaks and phase diagram loops, confirming the presence of nonlinear effects induced by large deformations. The comparison between the analytical model and the finite element results showed good agreement. The study confirms that the dynamic behavior of wind turbine blades is significantly influenced by geometric nonlinearities due to large elastic deformations. The proposed analytical model was validated by finite element results and proved effective in predicting the essential dynamic characteristics of the blade under operational conditions.