摘要
采用Euler-Beroulli梁理论,提出一种考虑水-桩-土相互作用的连续变截面海上风机单桩基础的结构简化模型,运用微分变换法求解简化模型横向振动控制方程。基于塔筒直径、连接段高度与水体附加质量、叶轮-机舱组件质量和三弹簧刚度对横向自振频率展开研究。研究表明,变截面塔筒底部直径对自振频率的影响大于顶部直径对自振频率的影响;水深较深时,水体附加质量对远海风机结构自振频率的影响不能忽略;风机横向自振频率随叶轮-机舱组件质量的增大而减小;弹簧刚度对土体模量敏感性大小为:水平弹簧>耦合弹簧>旋转弹簧;自振频率对弹簧刚度敏感性大小为:耦合弹簧>水平弹簧>旋转弹簧;土体模量发生变化时,主要通过水平弹簧和耦合弹簧影响自振频率。
This paper presents a simplified structural model for continuous variable cross-section single-pile foundations of offshore wind turbines,considering the water-pile-soil interaction,using the Euler-Bernoulli beam theory.The simplified model is solved using the differential transform method to obtain the transverse vibration control equation.The investigation focuses on the impact of tower diameter,transition section height,water-added mass,impeller-nacelle assembly mass,and the stiffness of three springs on the transverse natural frequency.The results show that the influence of the bottom diameter of the variable cross-section tower on the natural frequency is greater than that of the top diameter.In offshore wind turbine installations with greater water depths,the effect of water-added mass on the structural natural frequency cannot be overlooked.The transverse natural frequency of the wind turbine decreases as the impeller-nacelle assembly mass increases.The sensitivity of the soil modulus to the spring stiffness is ranked as follows:horizontal spring>coupling spring>rotational spring.Similarly,the sensitivity of the natural frequency to the spring stiffness is ranked as:coupling spring>horizontal spring>rotational spring.When variations occur in the soil modulus,the primary influence on the natural frequency is predominantly exerted by the horizontal spring and the coupling spring.
作者
余云燕
陶婧衍
孔嘉乐
李永鹏
YU Yunyan;TAO Jingyan;KONG Jiale;LI Yongpeng(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Transport Bureau of Gannan Tibetan Autonomous Prefecture,Gannan 747000,China)
出处
《振动工程学报》
北大核心
2025年第2期331-339,共9页
Journal of Vibration Engineering
基金
甘肃省科技计划资助项目(23JRRA854)。
关键词
海上风机
弹簧地基
自振频率
大直径单桩
微分变换法
offshore wind turbine
spring foundation
natural frequency
large-diameter single pile
differential transform method
