Journal of Shanghai University(Natural Science Edition) ›› 2016, Vol. 22 ›› Issue (5): 573-585.doi: 10.3969/j.issn.1007-2861.2015.02.016

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Dynamics modeling and analysis of offshore wind turbines under complicated loads

WANG Qingzhan, ZHAO Jianzhong, GUO Xingming   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2015-06-16 Online:2016-10-31 Published:2016-10-31

Abstract:

By analyzing the structure and complexity of offshore wind turbines (OWTs), a beam model with free end carrying a concentrated mass body was built to analyze dynamical characteristics of OWTs subject to adverse working environment loads. Factors including vertical excitation, self-weight, rotary inertia and variety of stiffness were considered to study the effect on offshore wind turbines. A general and uniform governing equation was built by taking advantages of the Heaviside step function and Dirac delta function. Based on the Galerkin truncation and the Runge-Kutta time discretization, numerical solutions of the kinematic governing equation were obtained. By comparing with the analytical solution under specified conditions, validity of the method was checked. The time history of the beam’s free end was chosen to represent motion of the beam. Based on the steady time history of the beam, a Poincar´e map was constructed to study its periodic motion. Furthermore, an amplitude-frequency curve was given to find the dangerous frequency range where OWTs exist.

Key words: complicated load, varying axial force, varying rigidity ,  dynamic response, offshore wind turbines