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Effects of Non-neighbouring Members in an Array of Beams Vibrating in Fluids

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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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References

  1. Michels, T., Rangelow, I.W.: Review of scanning probe micromachining and its applications within nanoscience. Microelectron. Eng. 191–203 (2014). https://doi.org/10.1016/j.mee.2014.02.011

  2. Gupta, A.K., Nair, P.R., Akin, D., Ladisch, M.R., Broyles, S., Alam, M.A., Bashir, R.: Anomalous resonance in a nanomechanical biosensor. Proc. Natl. Acad. Sci. U. S. A. 103(36), 13362–13367 (2006). https://doi.org/10.1073/pnas.0602022103

    Article  Google Scholar 

  3. Kimber, M., Lonergan, R., Garimella, S.V.: Experimental study of aerodynamic damping in arrays of vibrating cantilevers. J. Fluids Struct. 25(8), 1334–1347 (2009). https://doi.org/10.1016/j.jfluidstructs.2009.07.003

    Article  Google Scholar 

  4. Shyy, W., Berg, M., Ljungqvist, D.: Flapping and flexible wings for biological and micro air vehicles. Prog. Aerosp. Sci. 35(5), 455–505 (1999)

    Article  Google Scholar 

  5. Basak, S., Raman, A.: Hydrodynamic coupling between micromechanical beams oscillating in viscous fluids. Phys. Fluids 19(1), 1–13 (2007). https://doi.org/10.1063/1.2423254

    Article  MATH  Google Scholar 

  6. Intartaglia, C., Soria, L., Porfiri, M., A, P.R.S.: Hydrodynamic coupling of two sharp-edged beams vibrating in a viscous fluid. Proc. R. Soc. 470(2162), 1–25 (2013)

    Article  MathSciNet  Google Scholar 

  7. Cellini, F., Intartaglia, C., Soria, L., Porfiri, M.: Effect of hydrodynamic interaction on energy harvesting in arrays of ionic polymer metal composites vibrating in a viscous fluid. Smart Mater. Struct. 23(4), 1–15 (2014). https://doi.org/10.1088/0964-1726/23/4/045015

    Article  Google Scholar 

  8. Tuck, E.O.: Calculation of unsteady flows due to small motions of cylinders in a viscous fluid. J. Eng. Math. 3(1), 29–44 (1969)

    Article  Google Scholar 

  9. Tung, R.C., Jana, A., Raman, A.: Hydrodynamic loading of microcantilevers oscillating near rigid walls. J. Appl. Phys. 104(11), 1–8 (2008). https://doi.org/10.1063/1.3033499

    Article  Google Scholar 

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Correspondence to Arun Kumar Manickavasagam .

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Manickavasagam, A.K., Gutschmidt, S., Sellier, M. (2019). Effects of Non-neighbouring Members in an Array of Beams Vibrating in Fluids. In: Gutschmidt, S., Hewett, J., Sellier, M. (eds) IUTAM Symposium on Recent Advances in Moving Boundary Problems in Mechanics. IUTAM Bookseries, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-030-13720-5_23

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  • DOI: https://doi.org/10.1007/978-3-030-13720-5_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-13719-9

  • Online ISBN: 978-3-030-13720-5

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