弹性地基上具有初始构型的输液管动力稳定性

Dynamic Stability of Pipes Conveying Fluid with Arbitraty Initial Configuration on Elastic Foundation

解决了研究弹性地基上任意初始构型输液曲管稳定性的难点.在以弧长为参数的自然坐标系中建立了弹性地基上可伸长任意初始构型输液管道力学分析的数学模型,采用微分求积法(DQM)和分块矩阵的方法求解输液曲管的固有频率以及临界流速,研究了弹性地基和初始构型对输液管道动态特性的影响.结果表明,弹性地基将增大输液管道的临界流速,且输液直管初始构型微小的变化将引起其临界流速较大的变化.

The dynamic model of an extensible curved pipe with arbitrary initial configuration on elastic foundation was established in an arc coordinate system.Differential quadrature method （DQM）and partitioned matrix method were employed to obtain the natural frequencies and critical velocities of the pipe conveying fluid.The influences of elastic foundation and initial configuration on the dynamic stability of the pipe conveying fluid were discussed in detail.The numerical results show that the elastic foundation will increase the critical velocity of the pipe conveying fluid,and a small defect of the straight pipe will lead to a major effect on the critical velocity.