Wang Shizhong, Liu Yulan, Huang Wenhu. Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid[J]. Applied Mathematics and Mechanics, 1998, 19(11): 986-993.
Citation: Wang Shizhong, Liu Yulan, Huang Wenhu. Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid[J]. Applied Mathematics and Mechanics, 1998, 19(11): 986-993.

Research on Solid-Liquid Coupling Dynamics of Pipe Conveying Fluid

  • Received Date: 1997-10-11
  • Publish Date: 1998-11-15
  • On the basis of Hamilton princlple, the equation of solid-liquid coupling vibration of pipe conveying fluid is deduced. An asymmetrical solid-liquid coupling damp matrix and a symmetrical solid-liquid coupling stiffness matrix are obtained. Using QR method, pipe's nature frequencies are calaculated. The curves of the first four orders of natural frequency-flow velocity of pipe waw given. The influence of flowing velocity, pressure, solid-liquid coupling damp and solid-liquid coupling stiffness on natural frequency are discussed respectively. The dynamic respondence of the pipes for step-load with different flow velocity are calculated by Newmark method. It is found that, with the flow velocity increased, the nature frequency of the pipes reduced, increased, reduced again and so on.
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