Abstract
Nanowire resonators have fascinated researchers as a promising group of devices for accurate detection of tiny objects such as atoms, molecules, viruses, bacteria, and different types of bio-objects. In this paper, we present a numerical solution to the newly developed mathematical model of the nanowire resonator, considering such important characteristics as temperature variations, as well as the electromagnetic fields, added mass, surface and nonlocal effects. The mathematical model is based on the nonlocal Euler-Bernoulli beam theory. The developed model is solved by using the Finite Difference Method (FDM). As a result of this solution, the frequency response of the nanowire resonator has been obtained. Then, based on the developed numerical solution, a parametric study has been carried out to investigate the effects of different parameters on the vibration of nanowire resonators. Finally, the importance of nonlinearity in the modelling of such resonators at the nanoscale has been highlighted.
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Fallahpour, R., Melnik, R. (2021). Numerical Analysis of Nanowire Resonators for Ultra-high Resolution Mass Sensing in Biomedical Applications. In: Kilgour, D.M., Kunze, H., Makarov, R., Melnik, R., Wang, X. (eds) Recent Developments in Mathematical, Statistical and Computational Sciences. AMMCS 2019. Springer Proceedings in Mathematics & Statistics, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-030-63591-6_49
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