Free vibrations of fluid conveying pipe with intermediate support
Abstract
In this study, linear vibration of fluid carrying pipe with intermediate support
was discussed. Supports located at the ends of the pipe were clamped supports.
A support was located in the o0middle section show the features of a simple
support. It was accepted that the fluid velocity varied harmonically by an
average speed. The equation of motion and limit conditions of the system were
obtained by using Hamilton principle. The solutions were obtained using the
Multiple Scale Method, which is one of the Perturbation Methods. The first term
in the perturbation series causes the linear problem. Exact natural frequencies
were calculated by the solution of the linear problem for the different positions
of the support at the center (η), different longitudinal stiffness (vb), different pipe
coefficient (vf), different rate of fullness (β) and natural frequencies depending
on velocity of the fluid (v0) were calculated exactly. The obtained results were
shown in graphics.
URI
https://app.trdizin.gov.tr/publication/paper/detail/TXpFNU56WXpNdz09http://hdl.handle.net/20.500.12481/3740
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