Abstract. Vortex induced vibration (VIV) of circular and square cylinders with flexible splitter plates is studied at low Reynolds numbers. Finite element based flow and structure solvers, coupled using a partitioned approach, are used for simulating the fluid-structure interaction. Effect of flexibility of an attached flexible plate on its ability to suppress the VIV of a circular cylinder is considered. Flexibility of the plate is found to adversely affect the reduction in amplitude of the vibration of the cylinder. Next, flow past two square cylinders with deformable splitter plates placed side-by-side is considered. Vibration response of the two plates is studied for different values of flexibility. Initially, the plates vibrate out-of-phase with each other, but eventually settle for an in-phase fully developed response. Large amplitude of vibrations in the fully developed response is observed when its dominant frequency is close to the first natural frequency of the plate vibrations.
IntroductionVortex induced vibrations (VIV) of bluff bodies is a problem of great practical as well as academic interest. There has been a great effort in the direction of understanding and controlling this phenomenon. Splitter plates are a popular device used for modifying/controlling vortex shedding from cylinders and the associated vibrations. The effect of variations in geometry, especially length, of rigid splitter plates on the vortex shedding and cylinder oscillations has been investigated by a number of researchers in past [1,2]. Kwon and Choi [1] found that the splitter plate length must exceed a critical value, depending on the value of the Reynolds number, to be able suppress the vortex shedding. Wu and Zhao [3] considered the effect of a rigid splitter plate hinged to the rear of a circular cylinder supported on springs. The effect of a flexible splitter on an elastically mounted cylinder is, however, much less explored.The effect of splitter plates on multiple rigid bodies has also not received great attention. Kim and Durbin [4] studied the effect of a single splitter plate placed along the centerline between two circular cylinders in a side-by-side arrangement. They found the position of the plate required to make the wake steady. A number of researchers have studied the effect of flexible splitter plate on flow past a cylinder, for both circular and square geometries [5][6][7]. The objective of the present paper is to investigate the effect of flexible splitter plates on aeroelastic response of single and multiple cylinders. While the multiple cylinders are on rigid support, the single cylinder is on elastic support. Both circular as well as square geometries are considered. The effect of flexibility of the plate on the fluidstructure interaction is investigated. In particular, we study the phenomena of lock-in and galloping.