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In this paper, using Hamilton principle, the control equation of fluid-structure interaction vibration of a pipe conveying fluid under simple harmonic excitation was established and a novel method, Galerkin-Modality′s method was proposed to solve this equation. The influence of the damp, the flow velocity, the pressure and the length of the pipe supported by simple supports on the piping′s first two natural frequencies was discussed. The critical pressure and the critical length of the pipe were obtained. The influence of the flow velocity and pressure on the piping′s maximal relative displacements were analyzed.
In this paper, using Hamilton principle, the control equation of fluid-structure interaction vibration of a pipe conveying fluid under simple harmonic excitation was established and a novel method, Galerkin-Modality's method was proposed to solve this equation. The influence of the damp, the flow velocity, the pressure and the length of the pipe supported by simple supports on the piping's first two natural frequencies was been. The influence of the flow velocity and pressure on the piping's maximal relative displacements were analyzed.