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Advances in Nano Research Volume 8, Number 3, April 2020 , pages 191-202 DOI: https://doi.org/10.12989/anr.2020.8.3.191 |
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Investigation of microstructure and surface effects on vibrational characteristics of nanobeams based on nonlocal couple stress theory |
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Ali Shariati, Mohammad Reza Barati, Farzad Ebrahimi and Ali Toghroli
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| Abstract | ||
| The article brings the study of nonlocal, surface and the couple stress together to apparent the frequency retaliation of FG nanobeams (Functionally graded). For the examination of frequency retaliation, the article considers the accurate spot of neutral axis. This article aims to enhance the coherence of proposed model to accurately encapsulate the significant effects of the nonlocal stress field, size effects together with material length scale parameters. These considered parameters are assimilated through what are referred to as modified couple stress as well as nonlocal elasticity theories, which encompasses the stiffness-hardening and softening influence on the nanobeams frequency characteristics. Power-law distribution is followed by the functional gradation of the material across the beam width in the considered structure of the article. Following the well-known Hamilton\'s principle, fundamental basic equations alongside their correlated boundary conditions are solved analytically. Validation of the study is also done with published result. Distinct parameters (such as surface energy, slenderness ratio, as nonlocal material length scale and power-law exponent) influence is depicted graphically following the boundary conditions on non-dimensional FG nanobeams frequency. | ||
| Key Words | ||
| modified couple stress theory; surface effect; frequency response; FG nanobeams; nonlocal elasticity | ||
| Address | ||
| (1) Ali Shariati: Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam; (2) Ali Shariati: Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam; (3) Mohammad Reza Barati, Farzad Ebrahimi: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran; (4) Ali Toghroli: Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam. | ||