流固耦合作用下埋地管道的振动分析

摘要

采用Euler-Bernoulli地基梁模型,利用Hamilton原理推导了埋地管道土-管-内流耦合横向振动的偏微分方程;采用Galerkin法求出了管道的临界流速和固有频率,并计算了管道的固有频率和临界流速的动态响应;利用MATLAB语言进行编程,求得管道的临界流速,其结果与数学公式推导得到的结果大致相同,分析得到输送流体管道的固有频率随着流速的提高而降低.%The model of buried pipeline adopted as Euler-Bemoulli beam,which acted by inner fluid and outer constrained soil,applying the Hamilton principle, the differential equation of transverse vibration was deduced.The natural frequencies of the model and the critical velocity were obtained with the Galerkin method,moreover their dynamic responses were calculated.Utilizing the language of MATLAB programming and calculating the critical velocity of pipeline, their result was same as that derived by the mathematical formula.With the velocity increasing,the natural frequency of pipeline conveying fluid decreased.