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Abstract: Based on a differential constitutive relationship of linear
viscoelastic materials, Hamilton’s principle for viscoelastic pipe
conveying fluid is established, and the solid-liquid coupling vibration
equation of viscoelastic pipe conveying fluid is derived by using the
Hamilton’s principle. The non-dimensional critical flutter flow
velocities and complex frequencies of the Maxwell viscoelastic
cantilever pipe conveying fluid, which is a gyroscopic non-conservative
system, are calculated by the normalized power series method, and the
complex frequencies curves of the first mode, second mode and third mode
(Argand plot) are plotted. Then, the dynamic behaviors and stability of
the pipe are discussed. The above numerical calculation results show that
relaxation time of viscoelastic materials with Maxwell model has
remarkable effect on dynamic behaviors and stability of the cantilevered
pipe conveying fluid.
Key words: Viscoelastic pipe conveying fluid Stability Relaxation
time Solid-liquid coupling vibration
CLC No: O353
陕西省自然科学基金资助项目(99SL07).
Received 20010424, received
in revised form 20011015
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