Analysis of Flexural Vibration of V-Shaped Beam Immersed in Viscous Fluids

In this paper, the flexural vibration of the V-shaped beam with varying section and bending stiffness submerged in a quiescent viscous fluid is studied. Fluid-structure interactions are modelled through a complex hydrodynamic function that describes added mass and damping effects. A parametric study is conducted on the two-dimensional computational fluid dynamics of an oscillating V-shaped beam under harmonic base excitation to establish a handleable formula for the hydrodynamic function, which is in terms of the frequency parameter and the ratio between the gap of the beam cross-section and the width of the beam. The real part and imaginary parts of hydrodynamic function decrease with both the frequency parameter and the ratio. The frequency response of the V-shaped beam is obtained by solving the model numerically. Findings from this work can be used in the design of V-shaped structures of interest in marine applications such as the energy harvesting devices and micromechanical oscillators for sensing and actuation.