10 Aug 2023
 | 10 Aug 2023
Status: this preprint is currently under review for the journal WES.

Nonlinear Vibration Characteristics of Wind Turbine Blades Based on Virtual Mass Match

Aiguo Zhou, Jinlei Shi, Tao Dong, Yi Ma, and Zhenhui Weng

Abstract. To analyze the nonlinear effects of the virtual masses used for load decoupling on the vibration characteristics in the biaxial fatigue test of wind turbine blades, the equivalent dynamic model of the blade-virtual masses test system is established using the Lagrange method firstly. Then, the nonlinear effects of blade amplitude and installation parameters of virtual masses on the test system are obtained by numerical methods. Moreover, the nonlinear amplitude- frequency characteristics of the test system is analyzed theoretically based on the nonlinear vibration theory. Finally, two blades over 80 m are analyzed under the dynamic simulation environment. The results indicate that the resonance frequency of the test system decreases with the increase of the amplitude of the blade, presenting the nonlinear amplitude-frequency characteristics. In the case of 80 m blade, the resonance frequency of the test system decreases by approximately 2 %. There is also a nonlinear relation between the length of the seesaw used to install the virtual masses and the resonance frequency. The decrease of resonance frequency of the test system is more obvious with shorter seesaw, the resonance frequency decreases by up to 1.8 % under certain conditions. The decrease of the resonance frequency will also reduce the area of interest for blade load verification, the blade load distribution decreases by nearly 3 % in the flap-wise direction under the given operating conditions. In addition, the virtual masses will also affect the resonance characteristics and the spatial trajectory of the blade during the biaxial test.

Aiguo Zhou et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2023-92', Anonymous Referee #1, 18 Aug 2023
    • RC2: 'Reply on RC1', Anonymous Referee #2, 28 Aug 2023
      • AC4: 'Reply on RC2', jinlei shi, 09 Sep 2023
    • AC1: 'Reply on RC1', jinlei shi, 30 Aug 2023
      • AC2: 'Reply on AC1', jinlei shi, 30 Aug 2023
  • RC3: 'Comment on wes-2023-92', Anonymous Referee #2, 28 Aug 2023
    • AC3: 'Reply on RC3', jinlei shi, 09 Sep 2023
  • RC4: 'Comment on wes-2023-92', David Melcher, 13 Sep 2023

Aiguo Zhou et al.

Aiguo Zhou et al.


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Short summary
To explore the nonlinear influence of virtual mass mechanism on the test system in blade biaxial test, the main work of this paper is as follows: 1. The blade theory and simulation model are established to reveal the nonlinear amplitude-frequency characteristics of the blade-virtual mass system. 2. Increasing the amplitude of the blade or decreasing the seesaw length will lower the resonance frequency and load of the system. 3. The virtual mass also affects the blade biaxial trajectory.