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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Buckling and Nonlinear Vibration of Size-Dependent Nanobeam based on the Non-Local Strain Gradient Theory

Journal of Applied Nonlinear Dynamics 9(3) (2020) 427--446 | DOI:10.5890/JAND.2020.09.007

Van - Hieu Dang

Department of Mechanics, Faculty of Automotive and Power Machinery Engineering, Thai Nguyen University of Technology, Thainguyen, Vietnam

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Abstract

Based on the nonlocal strain gradient theory, a Euler-Bernoulli nanobeam model subjected to the compressive axial force and resting on the Winkler-Pasternak layer is developed to study buckling and free nonlinear vibration problems. Critical buckling force and nonlinear frequency of simply supported nanobeam are analytically derived. Comparison of obtained analytical solutions with published and numerical ones shows accuracy of the present solutions. Effects of the scale factor, the aspect ratio, the Winkler parameter and the Pasternak parameter on the critical buckling force ratio and the vibration response of the nanobeam are studied in this work.

Acknowledgments

This work is supported by Thai Nguyen University of Technology.

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