Modares Mechanical Engineering

Modares Mechanical Engineering

Vibration analysis of a viscous fluid conveying pipe on visco-elastic foundation using wavelet- based spectral finite element method

Authors
Mousa Rezaee 1
arezoo esmaeili 2
1 Professor - University of Tabriz
2 Department of mechanical engineering- university of tabriz
Abstract
Study of vibrational behavior and stability of fluid conveying pipes is important due to their large applications in industry. Several methods are used to solve the equation governing the vibration behavior of the fluid conveying pipes, e.g., the classical finite element method and the spectral finite element method. In the present study, the vibration behavior of the viscous fluid conveying pipe embedded in a visco-elastic foundation is investigated using the wavelet- based spectral finite element method. For this purpose, after deriving the equation governing the vibrations of the fluid conveying pipe, the vibration response is obtained using the mentioned method and the effects of the system parameters, such as the elastic foundation constant, fluid density, axial force, as well as the effect of the scale of the utilized scaling function on the system response, have been studied. The results indicate that by increasing the elastic foundation stiffness and/or, reducing the axial compressive force and the fluid density, the critical speed increases. Besides, the results show that increasing in scale of Daubchies scaling functions, increases the response accuracy. Also, to illustrate the advantages of the wavelet based spectral finite element method, for the case in which the analytical solution exists, the system time responses are compared with those obtained by the analytical method and the classical finite element method.
Keywords
Fluid Conveying Pipe
finite element method
Wavelet- based spectral finite element method
Daubchies wavelet

Subjects

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Modares Mechanical Engineering
Volume 18, Issue 9
December 2018
Pages 81-90