基础运动对漂浮式风电机组齿轮箱传动系统附加激励的影响

风电齿轮箱传动系统是漂浮式风电机组中传递力与运动的关键传动装置，受到频繁的基础运动影响，振动特性复杂。提出一种适用于非惯性坐标系下六自由度基础运动与含公转/自转运动构件六自由度振动位移的耦合建模方法，并利用集中参数法和拉格朗日方程建立了风电齿轮箱传动系统动力学模型，分析了基础运动对构件产生的附加激励以及振动响应影响。研究结果表明：基础运动会对传动系统中构件产生时变的附加参数激励，这些附加激励的特征频率主要以系统自身特征频率与基础运动频率及其倍频的组合频率为主；作用在构件上的附加激励幅值与纵荡、纵摇基础运动幅值及其频率呈现非线性关系，纵荡、纵摇基础运动的幅值越大、频率越高，附加激励中纵荡与纵摇运动之间的耦合效应也愈明显；基础运动会增大构件的径向与轴向振动响应，使其出现与基础运动频率相关的特征频率。

Influences of Base Motions on Additional Excitations of Floating Wind Turbine Gearbox Transmission System

The gearbox transmission system is the key component to transfer loads and rotations in the floating wind turbine, and is frequently affected by base motions, leading to complex vibration characteristics. A coupling modeling method between 6-DOFs base motions and 6-DOFs vibration displacements of the revolution/rotation component under the non-inertial coordinates system is proposed. A dynamic model of the wind turbine gearbox transmission system is established by using the lumped parameter method and Lagrange's equation, and then the influences of base motions on the component's additional excitations and system dynamic responses are investigated. The results show that base motions cause time-varying additional parametric excitations to each component of the gearbox transmission system, and the characteristic frequency of these additional excitations is the combination of system characteristic frequency, base motion frequency, and its harmonic frequency. The amplitude of these additional excitations on the component is non-linear with amplitude and frequency of surge and pitch motions. As the amplitudes and frequencies of surge and pitch become large and frequent, the coupling effects between surge and pitch motions are more obvious. Base motions enlarge radial and axial vibration responses of components, and these responses appear characteristic frequencies related to base motion frequency.