| 考虑水-桩-土相互作用的单桩式海上风机结构系统自振频率解析解 |
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| 引用本文： | 赵密,常逸夫,王丕光,杜修力.考虑水-桩-土相互作用的单桩式海上风机结构系统自振频率解析解[J].震灾防御技术,2020,15(4):659-669. |
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| 作者姓名： | 赵密 常逸夫 王丕光 杜修力 |
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| 作者单位： | 北京工业大学, 城市与工程安全减灾教育部重点实验室, 北京 100124 |
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| 基金项目： | 国家自然科学青年基金项目（51508528）；国家自然科学基金创新研究群体项目（51421005） |
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| 摘 要： | 海上风机结构系统频率是海上风机结构和基础设计考虑的关键因素之一，桩-土相互作用对海上风机结构系统频率影响显著。基于欧拉-伯努利梁理论和传递矩阵方法，考虑水-桩-土相互作用及塔筒变截面特性，建立单桩式海上风机结构系统横向振动自振频率特征方程；将桩-水相互作用等效为附加质量、桩-土相互作用等效为线性弹簧，变截面塔筒等效为多段均匀梁，利用MATLAB中fsolve函数求解固有频率。通过与有限元分析结果进行对比，验证本文方法精度与有效性，并将本文方法应用于实际工程中，研究桩基础埋深、上部质量、转动惯量和桩-水相互作用对单桩式海上风机结构系统自振频率的影响。
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| 关 键 词： | 海上风机 单桩基础 自振频率 水-桩-土相互作用 解析解 |
| 收稿时间： | 2020/1/2 0:00:00 |
An Analytical Natural Frequency Solution of Monopile Offshore Wind Turbine Considering Pile-soil Interaction |
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| Zhao Mi,Chang Yifu,Wang Piguang,Du Xiuli.An Analytical Natural Frequency Solution of Monopile Offshore Wind Turbine Considering Pile-soil Interaction[J].Technology for Earthquake Disaster Prevention,2020,15(4):659-669. |
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| Authors: | Zhao Mi Chang Yifu Wang Piguang Du Xiuli |
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| Institution: | Key Laboratory of Urban Security and Disaster Engineering of the Ministry of Education, Beijing University of Technology, Beijing 100124, China |
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| Abstract: | The frequency of offshore wind turbine system is one of the pivotal factors that needs to be considered during the design of the structure and foundation. Based on the Euler-Bernoulli beam theory and transfer matrix method, the characteristic equation of natural vibration frequency are established by considering the water-pile-soil interaction and variation of cross-sectional geometry of the wind turbine tower. The pile-water interaction is equivalent to additional mass, the pile-soil interaction is equivalent to linear spring and the cylinder with variable section is equivalent to a multi-section uniform beam in this model. And then the equation is solved by 'fsolve' function in MATLAB. The accuracy and validity of the proposed method are verified against the finite element results. Finally, the influence of foundation depth, upper mass, rotational inertia and pile-water interaction on natural frequency of monopile offshore wind turbine is discussed for practical engineering. |
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| Keywords: | Offshore wind turbine Monopile Natural frequency Pile-soil interaction Analytical solution |
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