Abstract
Broadband, multi-functional and parallel-processing devices are often built on coupled oscillators or arrays of resonators. Different length scales and applications determine the dominating coupling mechanism of the device. In this work we investigate the effects of fluid coupling between members of a one-dimensional cantilever array. We are specifically interested in studying the influence of non-neighbouring members in view of trying to distinguish between local and global (array) effects. Our analysis is based on the Navier-Stokes equation for incompressible flow which is solved using a boundary-integral technique resulting in the hydrodynamic coupling matrix through which added mass and hydrodynamic dissipation effects are inferred. Results clearly suggest that non-neighbouring members play a significant role with an increase in size of the array and at gap widths less than half the width of the cantilever.
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