Abstract
In the present paper the natural frequencies of fluid-conveying pipes with guided-clamped, guided-simply supported, guided-free and guided–guided boundary conditions are derived explicitly. Numerical results are presented for four cases, and the effect of fluid flow velocity on the natural frequencies is discussed. Critical velocities are determined to find the point of flutter. The pipe is modelled as an Euler–Bernoulli beam. The differential equation of motion for free vibration is established using Hamilton’s principle. The transcendental frequency equation is derived using Muller’s bisection method. By varying the non-dimensional velocities the frequencies are determined for the said boundary conditions. It is observed that there is a reduction in natural frequency with an increase in velocity, for all the boundary conditions. The influence of fluid velocity on the instability of the pipe is determined. The results obtained analytically were validated by experiment for guided–guided end condition only.
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Schedule a callMore From: Journal of The Institution of Engineers (India): Series C
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