Vibration and Stability Analysis of Functionally Gradient Flow Pipe with Axial Motion

The axially moving functionally graded pipe is widely used in many fields of industry, and its vibration and stability analysis is the key to its design. In this paper, the vibration characteristics and stability of functionally graded pipes with axial motion are analyzed. Based on the extended Hamilton variational principle, the dynamic equation of the pipe with internal flow velocity, material volume fraction index and axial velocity is established. The modified Galerkin method is used to solve the dynamic equation. The influence of the internal flow velocity, material volume fraction index, axial velocity and acceleration on the dynamic characteristics and stability of the system is analyzed. The characteristic curves of volume fraction index, axial velocity, acceleration and natural frequency are given. The results show that the natural frequency and critical velocity of the system increase with the increase of volume fraction index, and the designed volume fraction index can adjust the natural frequency of FGM pipeline system. When the system has axial acceleration, the greater the acceleration, the system will reach the critical value of axial instability in a short time.