Modeling and simulation of flow-induced vibrations of elastically mounted flexible structures.

We present the Flow-Induced Vibration modeling and the response of an elastically mounted rigid cylinder with an attached flexible plate at a low Reynolds number of 150. The spring stiffness and plate elasticity are varied to simulate the FIV responses of the system from the elastically mounted rigid structure to the rigidly mounted flexible structure. We model the system using a surface force modification approach, accounting for the cylinder's stiffness and damping forces while passing the flow forces to the structure. This eliminates the need to sequentially solve for the rigid body displacement and flexible body deformation in separate sub-steps during Fluid-Structure Interaction (FSI) implementation. The results show good agreement with the COMSOL implementation (commercial solver). The present study highlights the deviations in FIV response from the previous studies and the associated approximations. The study shows that while the rigid cylinder-plate system is susceptible to galloping, the flexible system can be designed to minimize FIV.