Wake-induced vibration of an elastic plate submerged in the wake of tandem circular cylinders

Abstract

This paper investigates the dynamic responses of an elastic plate submerged in the wake of tandem circular cylinders. The examined Reynolds numbers (Re) are set between 50 and 200. The gap spacing between the centers of the cylinders is kept constant at L* = L/D = 4.0, which is identical with the gap spacing between the center of the downstream cylinder and the front tip of the plate. The length of the plate is also L* = 4.0 to be consistent with the literature data. The flow field is analyzed, and the imposed forces on the structures are studied using two-way fluid–structural interaction (FSI). Initially, the mathematical equations of the FSI model are formulated in detail. Due to the interaction of the fluid and structure, the dynamic response of the system is analyzed. The variations in vortex shedding frequency are derived by employing two rational functions. The phase difference between lift forces is evaluated. In addition, the results of dynamic response of the plate due to FSI and wake-induced vibration are presented.