STABILITY OF ELASTICALLY SUPPORTED PIPES CONVEYING FLUID WITH DISTRIBUTED FOLLOWER FORCE
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摘要: 以两端弹性支承梁的振型函数为试函数,采用Galerkin法对在流动流体和分布随从力共同作用下管道的运动微分方程进行离散。通过求特征值,研究了两端弹性支承输流管道在分布随从力作用下复频率的变化以及失稳时的临界流速。分析了支承刚度、分布随从力、流速、质量比对输流管道振动与稳定性的影响。数值计算结果表明,支承刚度的变化对临界流速有较大的影响,支承刚度的变化和分布随从力的大小及方向会影响输流管道失稳类型。Abstract: The dynamic differential equation for pipes under the co-action of a distributed follower force and flowing fluid is established, and then it is discretized with Galerkin method by choosing the modal functions of an elastically supported beam as trial functions. The complex frequency and the critical flow velocity of elastically supported pipes conveying fluid with a distributed follower force are studied via solving eigenvalues. The influences of supporting stiffness, distributed follower force, flow velocity and mass ratio on the vibrations and stability of pipes conveying fluid are analyzed. Numerical results show that the variation of supporting stiffness has a great influence on critical flow velocity, and that the types of stability of pipes conveying fluid will be changed with the supporting stiffness and the direction and magnitude of the distributed follower force.
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