Analytical Solution of a Forced Vibrating Tube Transporting Fluid

Moussa Tembely

doi:10.20944/preprints202401.1962.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 27 January 2024 / Approved: 29 January 2024 / Online: 29 January 2024 (04:56:13 CET)
Version 2 : Received: 9 March 2024 / Approved: 11 March 2024 / Online: 11 March 2024 (10:13:34 CET)

In this paper is proposed an analytical technique which can be used to obtain the forced response of a cantilevered tube conveying fluid. Considering the pipe subjected to an arbitrary harmonic force either distributed or concentrated, an analytical solution is found using Green’s function method. The solution obtained of the closed form satisfies the differential equations in a classical sense. The presented method giving the exact solutions is more precise than the classical eigenfunction expansion or Galerkin’s method with no need to the eigenfunctions or eigenvalues.

Tube conveying fluid; forced vibration; Analytical solution

Engineering, Mechanical Engineering

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Analytical Solution of a Forced Vibrating Tube Transporting Fluid

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