Abstract
On the basis of Hamilton principle, 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. UsingQR method, pipe's nature frequencies are calculated. 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 stepload 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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Communicated by Wang Biao
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Shizhong, W., Yulan, L. & Wenhu, H. Research on solid-liquid coupling dynamics of pipe conveying fluid. Appl Math Mech 19, 1065–1071 (1998). https://doi.org/10.1007/BF02459195
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DOI: https://doi.org/10.1007/BF02459195