为了研究倾斜安置的含集中质量的输流管路的流体诱发动力学特性,在一般形式控制方程的基础上,引入重力和倾角两个因素从而建立了问题的动力学微分方程,利用基于新型形函数的Galerkin法离散该微分方程的解,通过推导及初等变换,最终获得求解管路固有频率的特征方程。通过实例计算,发现:(1)同等参数水平下,向上倾斜的管路的刚度更低;(2)随集中质量的增加,在既定的流速下,固有频率首先急速减小,然后趋势放缓,但集中质量的改变不会影响发散临界流速的计算结果;(3)随集中质量安置坐标的增加,在既定的流速下,固有频率波动变化,且安置坐标能够引起临界流速和失稳形式的变化。上述内容可被推广用于研究具有其他支承形式及附加元素的管路的流固耦合振动问题,可以为后续的振动可靠性等问题的研究作了良好的理论及计算方法方面的铺垫。
Abstract
To study the flow-induced dynamics of an inclined fluid conveying pipe containing a lumped mass, two factors including gravity and inclination are introduced into the general governing equation to establish the dynamic differential equation of the present problem, the solution of the above partial differential equation is discretized by Galerkin method based on new shape functions, with further derivation and manipulation, the characteristic equation for calculating natural frequency is finally obtained. After a through calculation for an example, one can find: (1) the upward slopping pipe has lower stiffness than the downward one under the same parameters. (2) With the increase of lumped mass, the natural frequency decreases sharply at first, and then gently under given flowing velocity; but it will not change the critical flowing velocity. (3) With the increase of implementation coordinate of the lumped mass, the natural frequency fluctuates, and it will lead to the variation of critical flowing velocity and instability type. The above investigation can be radiated to study fluid-structure interaction vibration problems of pipe with other supporting types and added factors, it can provide the way for the following research on vibration reliability and other issues in terms of theory and calculation methods.
关键词
输流管路 /
斜置 /
集中质量 /
流体诱发振动
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Key words
fluid conveying pipe /
inclined implementation /
lumped mass /
flow-induced vibration
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参考文献
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脚注
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