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Coupling pseudo-spectral method and integral quadrature rule for nonlinear vibration analysis of graphene sheets carrying concentrated nano objects

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Abstract

In present study the potential application of graphene with attached particles as nano resonant sensors is investigated using nonlocal elasticity. An elastic connection between the nano plate and the attached nanoparticle, is considered as a spring and a combination of pseudo-spectral and integral quadrature methods is implemented to determine the frequency shift. Results reveal that for soft connections the predicted frequency shift is greater than rigid connections that means considering a rigid connection instead of elastic one will underestimate the frequency shift of nano resonant sensors. Also, it is seen that nonlocal small scale parameter has a decreasing effect on the frequency shift of nano resonant sensors.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran

    S. Kamal Jalali

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

    Mohammad Hassan Naei

Authors
  1. S. Kamal Jalali
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  2. Mohammad Hassan Naei
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Corresponding author

Correspondence to S. Kamal Jalali.

Additional information

Recommended by Associate Editor Moon Ki Kim

S. Kamal Jalali is an Assistant Professor at Kermanshah University of Technology (KUT). He received his Ph.D. in Mechanical Engineering from University of Tehran in 2015. His research interests include computational mechanics, nano materials, vibration and stability of structures.

M. H. Naei is an Associate Professor at University of Tehran. He received his Ph.D. in Mechanical Engineering from Kansas State University. His research interests include computational mechanics, stress analysis of plates and shells, new materials like FGM, Piezoelectric, and nano-composites.

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Jalali, S.K., Naei, M.H. Coupling pseudo-spectral method and integral quadrature rule for nonlinear vibration analysis of graphene sheets carrying concentrated nano objects. J Mech Sci Technol 29, 3591–3596 (2015). https://doi.org/10.1007/s12206-015-0702-0

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  • DOI: https://doi.org/10.1007/s12206-015-0702-0

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