Shanghai Institute of Applied Mathematics and Mechanics;
Shanghai Key Laboratory of Mechanics in Energy Engineering;
School of Mechanics and Engineering Science;
Shanghai University;
Shanghai 200072;
China;
School of Mathematics and Computational Sciences;
Xiangtan University;
Xiangtan 411105;
Hunan Province;
China;
wind turbine tower structure; dynamic analysis; tapered beam; fundamen-tal natural frequency; complex ocean environment;