本文根据浮体为小物体的基本假设,对于在规则波作用下的自由漂浮的竖直圆筒形平台,导出了组合的线性与非线性振动微分方程组,给出了线性振动的解析解答,分析得出了在非线性振动情况下引起大振幅低频振动的特殊频率.结合某大型浮式圆筒形平台,理论计算与荷兰船模水池的模型试验结果较为一致. In this paper, based on the basic assumption that the floating body is a small object, for the free-floating vertical cylindrical platform under the action of a regular wave, a combination of linear and nonlinear oscillation differential equations is derived, and an analytical solution to the linear vibration is given. The special frequency of large-amplitude and low-frequency vibration caused by nonlinear vibration is obtained. Combined with a large-scale floating cylindrical platform, the theoretical calculation is consistent with the model test results of the Dutch model boat basin.