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Buckling and vibration analysis nanoplates with imperfections

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  • Ruocco, Eugenio
  • Mallardo, Vincenzo

Abstract

In the present paper a coupling finite strip–finite element procedure is developed to investigate the buckling and vibration behaviour of imperfect nanoplates via nonlocal Mindlin plate theory. The imperfection can be either a thickness variation or a lack of planarity and it can be either localized or distributed on an entire edge of the nanoplate. The resulting nonlinear equations are solved exactly by applying the Kantorovich method. A finite element approach is proposed for coupling the in-plane and the out-of-plane buckling equations to describe properly the imperfections. Some numerical examples are carried out in order to show the sensitivity of the results to the nonlocal parameter and to the imperfection.

Suggested Citation

  • Ruocco, Eugenio & Mallardo, Vincenzo, 2019. "Buckling and vibration analysis nanoplates with imperfections," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 282-296.
    • Handle: RePEc:eee:apmaco:v:357:y:2019:i:c:p:282-296
    DOI: 10.1016/j.amc.2019.03.030
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    1. Ruocco, Eugenio & Mallardo, Vincenzo, 2016. "An enhanced exponential matrix approach aimed at the stability of piecewise beams on elastic foundation," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 8-25.
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    Cited by:

    1. Jahangiri, M. & Asghari, M., 2023. "The strain gradient-based torsional vibration analysis of micro-rotors with nonlinear flexural-torsional coupling," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Alshenawy, Reda & Sahmani, Saeid & Safaei, Babak & Elmoghazy, Yasser & Al-Alwan, Ali & Nuwairan, Muneerah Al, 2023. "Three-dimensional nonlinear stability analysis of axial-thermal-electrical loaded FG piezoelectric microshells via MKM strain gradient formulations," Applied Mathematics and Computation, Elsevier, vol. 439(C).

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