In this study, the post-buckling differential equation of fluid-conveying pipelines supported at both ends is derived from the differential governing equation for the nonlinear transverse vibration of Kelvin viscoelastic model.The expression of buckling configurations for hinged-hinged fluid-conveying pipeline is obtained.It is found thatthe straight equilibrium configuration turns into the unstable and buckling deformation as the flow speed of fluid exceeds the critical value.For the perturbation equation for the supercritical piping system, , the analytic expression of the first supercritical natural frequency for the nonlinear vibration of supercritical fluid-conveying pipelines is obtainedin Galerkin method.
MIAO Xu, JIN Ji-duo, YANG Tian-zhi
. Analysis of natural frequency of fluid-conveying pipeline in the supercritical regime[J]. Journal of Shenyang Aerospace University, 2013
, 30(4)
: 28
-31
.
DOI: 10.3969/j.issn.2095-1248.2013.04.006
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