摘要
This paper deals with the vertical vibration, the horizontal translatory and flexural vibrations of plate gate with a flat bottom under the action of unstable submerged underflow. Based on a non linear resonant oscillator model by which the coupled excitation mechanism between the unstable vortices and gate motion can be simulated, the differential equations for the three types of gate vibrations are established. The parameters in the equations are determined by model experiments. Then, the steady state non linear responses of the three types of gate vibrations are calculated. The calculation results are in good agreement with the experimental data of gate vibrations with different reduced velocity and gate parameters by previous researchers.
研究平底平面闸门在不稳定淹没泄流作用下垂向振动、水平平移振动、水平弯曲振动的非线性响应．建立一个非线性振子模型来模拟不稳定漩涡与闸门运动的耦合激励机制．推导出这３类振动的运动方程，并通过模型实验确定振动方程中的参数，解决了非线性振动稳态响应的求解问题．计算结果与前人关于不同折减流速和不同闸门系统参数的实验结果吻合较好．
