梁理论的合理选择对风机横向自振频率的求解意义重大。以往提出的海上风机自振频率计算方法都基于某一种梁理论，且缺乏各参数的敏感性分析。为了对比不同梁理论对风机自振频率求解的影响，采用回传射线矩阵法，分别基于Bernoulli-Euler梁、经典Timoshenko梁和修正Timoshenko梁理论，提出海上风机横向自振频率计算方法，通过实测数据验证了该方法的准确性，并综合对比各参数的敏感性。研究结果表明：Bernoulli-Euler梁理论未考虑剪切变形与转动惯量，自振频率计算结果略大于Timoshenko梁理论；剪切变形引起的转动惯量可以忽略不计，修正Timoshenko梁理论与经典Timoshenko梁理论计算结果一致，但物理意义更加清晰；基频对塔筒结构参数的敏感性最高，其次是连接段与桩基；基频对塔筒高度的敏感性最高，对海床高度与叶轮机舱组件质量的敏感性较高，壁厚变化对基频的影响不显著。
Abstract
The reasonable selection of beam theory is of great significance to the solution of transverse natural frequency of fan. The previous calculation methods of natural frequency of offshore wind turbine are based on a certain beam theory, and lack of sensitivity analysis of each parameter. In order to compare the influence of different beam theories on the calculation of fan natural frequency, the method of reverberation-ray matrix(MRRM) is used to calculate the transverse natural frequency of offshore fan based on Bernoulli-Euler beam, classical Timoshenko beam and modified Timoshenko beam theory respectively. The accuracy of the method is verified by the measured data, and the sensitivity of each parameter is compared comprehensively. The results show that Bernoulli-Euler beam theory does not take into account shear deformation and moment of inertia, and the calculation result of natural frequency is slightly larger than that of Timoshenko beam theory, the moment of inertia caused by shear deformation is negligible, and the result of modified Timoshenko beam theory is consistent with that of classical Timoshenko beam theory, but the physical meaning is clearer, and the fundamental frequency is the most sensitive to tower tube structure parameters, followed by connecting section and pile foundation. The fundamental frequency is the most sensitive to the height of the tower tube, and is more sensitive to the sea bed height and the quality of the impeller engine room components, and the change of wall thickness has no significant effect on the fundamental frequency.
关键词
海上风机 /
单桩基础 /
自振频率 /
回传射线矩阵法 /
敏感性分析
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Key words
offshore wind turbine /
single pile foundation /
natural frequency /
method of reverberation-ray matrix /
sensitivity analysis
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