Unbalance response of a spinning pipe conveying fluid in vertical configuration equipped with piezoelectric patches

There are many engineering applications of pipes at different scales for conveying fluid. The dynamic characteristics of a spinning pipe conveying fluid in vertical configuration equipped with piezoelectric patches are analyzed in this study. Based on Euler–Bernoulli beam theory, the governing equations of the system are derived by applying Hamilton’s variational principle. In this equations, the gyroscopic coupling, electromechanical coupling and gravitational effects are considered. The Galerkin’s method is used to discretize the governing equations of motions. Numerical results are investigated to predict the influences of the piezoelectric layer spanning angle, spinning speed, pipe length and flow velocity, on the unbalance response of the system. The results indicate that, depending on excitation frequency, the vibration amplitude can be decreased or increased by increasing the piezoelectric layer spanning angle. The results of this research can be used to conduct piezoelectric pipe design and performance predictions for future pipe vibration control and energy harvesting applications.