Free vibrations of fluid conveying pipe with intermediate support
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Date
2016
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Abstract
In this study, linear vibration of fluid carrying pipe with intermediate supportwas 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 simplesupport. It was accepted that the fluid velocity varied harmonically by anaverage speed. The equation of motion and limit conditions of the system wereobtained by using Hamilton principle. The solutions were obtained using theMultiple Scale Method, which is one of the Perturbation Methods. The first termin the perturbation series causes the linear problem. Exact natural frequencieswere calculated by the solution of the linear problem for the different positionsof the support at the center (η), different longitudinal stiffness (vb), different pipecoefficient (vf), different rate of fullness (β) and natural frequencies dependingon velocity of the fluid (v0) were calculated exactly. The obtained results wereshown in graphics.