首页|单桩式近海风机横向基频的微分变换法求解

单桩式近海风机横向基频的微分变换法求解

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精准求解海上风机(OWTs)系统基频是海上风机结构研究的关键性难点之一.基于Euler-Bernoulli梁和Timoshenko梁理论,考虑风机塔筒变截面特性,根据是否考虑桩.土相互作用,分别建立底部弹簧模型与底部固接模型,采用微分变换法计算风机变截面梁横向振动方程,利用MATLAB软件求解风机系统基频.通过与实测结果进行比对,验证本文方法的有效性和精确性,并分析计算项数、塔筒高度、锥度比、弹簧刚度对风机基频的影响.研究结果表明,当计算项数为10及以上时,利用微分变换法计算基频满足精度要求;风机基频对塔筒高度变化的敏感性强,当塔筒高度增加时,基频下降趋势显著;变截面梁锥度比降低使塔筒底部直径变大,进而导致风机基频有所提升;考虑弹簧地基系统的风机基频随任一弹簧刚度的增加而提升,其中耦合弹簧刚度对风机基频的影响程度最大.
Analysis of Lateral Fundamental Frequency of Monopile Offshore Wind Turbines Using Differential Transform Method
Based on the theories of Euler-Bernoulli and Timoshenko beams,and considering the characteristics of variable section towers and soil-structure interaction,both a comprehensive model with coupling springs and a fixed model were established.The differ-ential transform method(DTM)was employed to calculate the transverse vibration equation of the variable section beam of offshore wind turbines(OWTs),and MATLAB software was used to solve for the fundamental frequency.The validity and accuracy of this method were verified by comparison with measured results.Additionally,the effects of tower height,taper ratio,and spring stiffness on the fundamental frequency were further analyzed.The research results indicate that the fundamental frequency is highly sensitive to changes in tower height;specifically,a decrease in tower height results in a significant decrease in fundamental frequency.As the taper ratio of the variable section beam decreases,the bottom diameter of the tower increases,leading to an improvement in the fundamental frequency.When considering the spring foundation system,the fundamental frequency increases with any increase in spring stiffness.Moreover,among the three-spring model components,the coupling spring has the greatest influence on the fundamental frequency.

Timoshenko beamEuler-Bernoulli beamOffshore wind turbinesSystem fundamental frequencyLarge diamet-er monopile

张宗豪、余云燕、黄永健

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兰州交通大学,土木工程学院,兰州 730070

Timoshenko梁 Euler-Bernoulli梁 海上风机 系统基频 大直径单桩

甘肃省科技计划甘肃省教育厅产业支撑计划甘肃省交通厅科技研发项目甘肃省基础研究创新群体项目甘肃省基础研究创新群体项目

21YF5GA0502021CYZC-282021-12145RJIA33221JR7RA347

2024

10.11899/zzfy20240211

震灾防御技术
中国地震台网中心

震灾防御技术

CSTPCD北大核心
影响因子：0.704
ISSN：1673-5722
年,卷(期)：2024.19(2)