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A mixed approach for studying size effects and connecting interactions of planar nano structures as resonant mass sensors

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Abstract

Present paper investigates the potential application of planar nano structures with attached nano particles as nano resonant sensors by introducing a nonlocal plate model which considers size effects. To take into account an elastic connection between the nano plate and the attached nanoparticle, the nano particle is considered as a mass-spring system. Then, a mixed approach based on pseudo-spectral and integral quadrature rule is implemented to numerically determine the frequency shift caused by the attached mass-spring system. Obtained results are in a good agreement with those available in the literature which reveals that the proposed combined method provides accurate results for structural problems with concentrated objects. Results show that for soft connections with small values of spring constant the predicted frequency shift is greater than rigid connections. It means that considering a rigid connection instead of elastic one will underestimate the frequency shift of nano resonant sensors. Also, it is shown that neglecting size effects results in overestimating the frequency shift of nano resonant sensors. Furthermore, nano plates with greater aspect ratios offer smaller dimensionless frequency shifts and the maximum belongs to a square one. The presented results could be useful as a guideline for designing nano resonant sensors of plane shapes like graphene based mass sensors.

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Acknowledgments

Pugno NM is supported by the European Research Council (ERC StG Ideas 2011 BIHSNAM on “Bio-Inspired hierarchical super-nanomaterials”, ERC PoC 2013-1 REPLICA2 on “Large-area replication of biological anti-adhesive nanosurfaces”, ERC PoC2013-2 KNOTOUGH on “Super-tough knotted fibres”) and European Commission under Graphene Flagship.

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Tehran, Tehran, Iran

    S. K. Jalali & M. H. Naei

  2. Laboratory of Bio-Inspired and Graphene Nanomechanics, Department of Civil, Environmental and Mechanical Engineering, Università di Trento, via Mesiano, 77, 38123, Trento, Italy

    S. K. Jalali & N. M. Pugno

  3. Center for Materials and Microsystems, Fondazione Bruno Kessler—via Sommarive 18, 38123, Povo, Povo (Trento), Italy

    N. M. Pugno

  4. School of Engineering and Materials Science, Queen Mary University of London, Mile End Road, London, E1 4NS, UK

    N. M. Pugno

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  1. S. K. Jalali
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  2. M. H. Naei
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  3. N. M. Pugno
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Correspondence to S. K. Jalali.

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Jalali, S.K., Naei, M.H. & Pugno, N.M. A mixed approach for studying size effects and connecting interactions of planar nano structures as resonant mass sensors. Microsyst Technol 21, 2375–2386 (2015). https://doi.org/10.1007/s00542-014-2362-x

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  • DOI: https://doi.org/10.1007/s00542-014-2362-x

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