平板闸门垂向自激振动数学模型研究

在分析前人实验结论和平板闸门自激振动机理的基础上，将结构—尾流振子模型应用到闸门垂向自激振动的研究中，振子模型采用von der por方程，在结构的控制方程中合理地加入了附加质量项。通过确定模型其他参数并对模型进行计算得到闸门稳定自激振动（共振区）下的垂向振动峰值和频率比。计算值和实测值能较好地吻合，从而实现了影响闸门自激振动参数的整合及对闸门自激振动的定量研究，为进一步深入分析闸门自激振动的机理提供了更加可靠的依据。

Study on math-model of self-excited vertical vibration of plane gate

Based on the testing conclusions from predecessor and the self-excited vibration mechanism of plane gate， the structure-wake oscillator model is applied to study the self-excited vertical vibration of plane gate， for which von der por equation is adopted for the oscillator model and the additional mass is reasonably added into the governing equation of structure. The peak value of the vertical vibration and frequency ratio under the stable self-excited vibration（resonant region） of the gate are then obtained through the determination of the other parameters and the calculation of the model. The calculation value can better coincide with the measured one， and then both the integration of the parameters those impact the self-excited vibration of the gate and the quantitative study on the self-excited vibration of the gate are realized， which lay a reliable basis for the further analysis on the self-excited vibration mechanism of the gate.