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Nonlinear bending,
buckling and vibration of functionally graded nonlocal strain
gradient nanobeams resting on an elastic foundation
Dang Van Hieu, Do Quang Chan and Hamid M. Sedighi |
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Vol. 16 (2021), No. 3, 327–346
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Abstract |
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This work aims to provide a comprehensive theoretical framework for the nonlinear bending, vibration and buckling of functionally graded (FG) nanobeams resting on an elastic foundation through nonlocal strain gradient theory. To this end, both Timoshenko and Euler–Bernoulli beam theories are considered and the equations of motion are established by Hamilton’s principle. The analytical expressions of the nonlinear deflections, frequencies and critical buckling forces of FG nanobeams are presented with closed-form expressions. Comparing the obtained results with those published in the literature shows the accuracy of the current analysis. Finally, the impacts of some effective parameters are thoroughly investigated and discussed. |
Keywords
nonlocal strain gradient theory, nanobeams, nonlinear
bending, nonlinear vibration, buckling
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Milestones
Received: 8 September 2020
Revised: 28 February 2021
Accepted: 20 April 2021
Published: 10 August 2021
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Authors |
| Dang Van Hieu | |
| Department of Mechanics Thai Nguyen University of Technology Thainguyen Vietnam |
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| Do Quang Chan | |
| Faculty of Mechanical Engineering
and Mechatronics PHENIKAA University Hanoi 12116 Vietnam |
PHENIKAA Research and Technology
Institute (PRATI) A&A Green Phoenix Group JSC Hanoi 11313 Vietnam |
| Hamid M. Sedighi | |
| Mechanical Engineering Department
and Drilling Center of Excellence and Research
Center Shahid Chamran University of Ahvaz Ahvaz Iran |
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