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The fluid induced vibration in fluid conveying pipes can cause fatigue and failure in the system. Therefore, controlling these unwanted vibrations and suppressing the vibrations of the fluid conveying pipe is important. In this paper by considering the passive vibration absorber for the fluid conveying pipe, the influence of the vibration absorber parameters on the dynamic behavior of the system is investigated. The governing equations of motion are obtained via the Newton’s second law, and analytical solutions for the characteristic equation and mode shapes of the system are obtained through the power series method. After verifying the obtained results, the effect of the vibration absorber parameters and the fluid flow velocity on the vibration behavior of the fluid conveying pipe have been investigated. Results show that by increasing the absorber mass, the effect of absorber on decreasing the oscillations amplitude is diminished. At different fluid velocities, the oscillation amplitude of the system can be reduced considerably by specifying proper values of the absorber parameters. At velocities near the critical velocity, where the oscillation amplitude reaches a maximum value, using a suitable vibration absorber may reduce the maximum oscillations amplitude of the system by 98%. The method presented in current study can be easily generalized to design passive vibration absorber for fluid conveying pipes with different boundary conditions.

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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.