Free vibration analysis of oil pipes embedded in viscous fluid

The free vibration of oil pipes embedded in viscous fluid is investigated based on Euler-Bernoulli beam model. The governing equations are developed by Hamilton’s principle, including the effects ofexternal viscous fluid, temperature change and length. The effect of the external viscous fluid is simulatedas an external force. Applying DQ approach, the resulting equations are transformed into a set of eigenvalue equations. The vibration characteristics of the embedded oil pipes are described and the effectsof the design parameters and mode numbers on the frequencies are also examined. Most resultspresented in the present investigation have been absent from the literature for the vibration of the embedded oil pipes. It is shown that the effect of aspect ratio on frequency is significant for the oil pipes with higher aspect ratio. Finally, it is hoped that the results proposed in this investigation would be helpful for the design of the oil pipes.

کلیدواژه ها:

Free vibration ، Oil pipes ، Viscous fluid ، Euler-Bernoulli beam