Study on Vibration of Flexible Beams with Interior Fluid

Abstract

Abstract In this paper, the basic governing equations of nonlinear dynamics of solid-liquid coupling system are established. Without considering the free vibration, according to the characteristic polynomial of the Jacobi matrix of the disturbance equation required by the Hopf bifurcation, the algebraic equations that the critical velocity must meet are derived. The numerical results show that when the velocity exceeds the critical value, the vibration amplitude of the beam jumps obviously.