Analysis of turbulence-induced vibration of cylindrical shell based on added mass and added damping analogy

Abstract

Engineering applications have indicated that the effect of turbulent flow on vibration structure can transform into added mass, damping, and stiffness, but few mathematical method efforts have been undertaken to predict this effect. To discuss the mechanism of Fluid-Induced Vibration (FIV) systems, this paper establishes the added mass and damping analogy model and its updated mathematical model by considering the effect of displacement variation along the axial and trial functions. We performed a unidirectional decoupling investigation of the Fluid-Structure Interaction (FSI) problem due to the cylindrical shell vibration in turbulent flow, and the comparison results of the proposed method with the bidirectional FSI simulations data show the decoupling method to be correct and feasible. Moreover, the updated model could greatly enhance computational accuracy, especially for higher modes. We attempted to gain physical insights into the relationship between the dynamic behavior of the shell vibration and the velocity of turbulent fluid. The results show that the modal frequency was proportional to the inverse of the square of the axial velocity, the displacement amplitude decreased as the inflow velocity increased, and the variation trend of period was the opposite. Critical velocities may occur and further lead to buckling instability of FIV systems.