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A Nonlocal Strain Gradient Mass Sensor Based on Vibrating Hygro-Thermally Affected Graphene Nanosheets

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Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Aims and scope Submit manuscript

Abstract

This paper develops a nonlocal strain gradient plate model for vibration analysis of graphene sheet-based mass sensors resting on Winkler–Pasternak medium under hygro-thermal environments. For more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as nanoparticle mass, number of nanoparticles, nonlocal parameter, length scale parameter, hygro-thermal loading and elastic foundation on vibration characteristics of graphene sheets will be investigated.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

    Farzad Ebrahimi & Mohammad Reza Barati

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  1. Farzad Ebrahimi
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  2. Mohammad Reza Barati
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Correspondence to Farzad Ebrahimi.

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Ebrahimi, F., Barati, M.R. A Nonlocal Strain Gradient Mass Sensor Based on Vibrating Hygro-Thermally Affected Graphene Nanosheets. Iran J Sci Technol Trans Mech Eng 43, 205–220 (2019). https://doi.org/10.1007/s40997-017-0131-z

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  • DOI: https://doi.org/10.1007/s40997-017-0131-z

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