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Abstract: Based on the linear viscoelastic theory, the differential
equation of motion for viscoelastic pipe conveying pulsating fluid on
the elastic foundation is derived. The partial differential equation
with periodic coefficients is solved by the Galerkin method and
Runge-Kutta method for solving the initial problems. Using the Floquet’s
theory, the effect of non- dimensional delaying time of pipe material,
non-dimensional fluid velocity and non-dimensional stiffness ratio of
the elastic foundation coefficient to the flexural rigidity of the pipe
on dynamic instability regions of Kelvin viscoelastic pipes conveying
pulsating fluid on elastic foundation is analyzed. The dynamic stability
regions and instability regions in parametric plane consisting of
frequent ratio and exciting parameter are obtained for the variation of
three parameters.
Key words: Dynamic stability Viscoelastic pipe conveying fluid
Elastic foundation Pulsating fluid
CLC No: O34
陕西省教育厅专项科研计划资助项目(01JK202).
Received 20041008, received in revised form 20050328
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