Stability of transverse vibration for a pinned-pinned pipe conveying pulsing fluid under axial periodic excitation

Using classical equations of fluid-structure interaction (FSI), the influence of axial external periodic excitation on the stability of a transverse vibration of a pinned-pinned pipe conveying pulsing fluid was studied. The second-order Galerkin method was used to solve the equations. The convergence of the solutions was taken as a stability criterion to obtain a stability curve. The results showed that the axial periodic excitation can improve the stability of the pinned-pinned pipe conveying pulsing fluid when the excitation has one of the instable frequencies of the pipe, and the amplitude of the excitation is in a certain limit; the stability of the system began to deteriorate when the amplitude of the excitation exceeds the certain limit; the excitation can not produce significant effect on the stability of the pipeline when the frequency of the axial periodic excitation is far away from the instable frequencies of the pipe.