Abstract: The differential equations describing the lateral bending Coupled vibration of a partialy filled submarine oil pipeline system caused by liquid flow in and out of the pipeline are given according to the theory of coupled vibration of an elastic body and liquid:Solving the equations by the weighted residual method,an approximate solutions of the free vibration frequency of the pipeline in with coupled vibration is obtained.The limiting erosion length can be determined by the resonance condition.The results can be used in a fully filled submarine oil pipeline system also.

摘要： 在文献[1]穿越管线计算模型基础上,根据弹性体与液体的耦联振动理论,导出了海底输油管道充液不满时管内液体随管道作横向弯曲耦联振动的微分方程利用加权残数法求解该方程后,得到耦联振动下海底输油管道自振频率的近似解.再由共振条件确定出管道的极限冲刷长度.所得结果同样适用于全充满海底输油管道.

关键词: 海底输油管道, 自振频率, 耦联振动, 冲刷长度, 振动微分方程, 海底管道, 充液, 共振条件, 计算模型, 液体