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Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity

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Abstract

Free vibration of functionally graded material (FGM) nanobeams is investigated by considering surface effects including surface elasticity, surface stress, and surface density as well as the piezoelectric field using nonlocal elasticity theory. The balance conditions between the nanobeam bulk and its surfaces are satisfied assuming a cubic variation for the normal stress, \({\sigma_{zz}}\) , through the piezoelectric FG nanobeam thickness. Accordingly, the surface density is introduced into the governing equation of the free vibration of nanobeams. The results are obtained for various gradient indices, voltage values of the piezoelectric field, nanobeam lengths, and mode numbers. It is shown that making changes to voltage values and modifying mechanical properties of piezoelectric FGM nanobeams are two main approaches to achieve desired natural frequencies.

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Authors and Affiliations

  1. School of Mechanical Engineering, Iran University of Science and Technology, Narmak, 16846-13114, Tehran, Iran

    Shahrokh Hosseini-Hashemi, Iman Nahas, Mahmood Fakher & Reza Nazemnezhad

  2. Center of Excellence in Railway Transportation, Iran University of Science and Technology, Narmak, 16846-13114, Tehran, Iran

    Shahrokh Hosseini-Hashemi

  3. School of Engineering, Damghan University, Damghan, Iran

    Reza Nazemnezhad

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  1. Shahrokh Hosseini-Hashemi
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  2. Iman Nahas
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  3. Mahmood Fakher
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  4. Reza Nazemnezhad
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Correspondence to Reza Nazemnezhad.

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Hosseini-Hashemi, S., Nahas, I., Fakher, M. et al. Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity. Acta Mech 225, 1555–1564 (2014). https://doi.org/10.1007/s00707-013-1014-z

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  • DOI: https://doi.org/10.1007/s00707-013-1014-z

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