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Thermal buckling
and free vibration of Timoshenko FG nanobeams based on the
higher-order nonlocal strain gradient theory
Goran Janevski, Ivan Pavlović and Nikola Despenić |
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Vol. 15 (2020), No. 1, 107–133
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Abstract |
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A size-dependent Timoshenko beam model is derived within the framework of the higher-order nonlocal strain gradient theory. Nonlocal equations of motion are derived through Hamilton’s principle and solved by applying an analytical solution. The solution is obtained using the Navier solution procedure. The paper investigates the thermal effects on buckling and free vibrational characteristics of functionally graded (FG) size-dependent nanobeams subjected to various types of thermal loading. The influence of higher-order and lower-order nonlocal parameters and strain gradient scale on buckling and vibration are investigated for various thermal conditions. To validate the solutions, the obtained results are compared with previous research. |
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Keywords
Timoshenko beam theory, thermal buckling, vibration,
functionally graded materials, higher-order strain gradient
theory
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Milestones
Received: 17 July 2019
Revised: 5 December 2019
Accepted: 14 December 2019
Published: 26 February 2020
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Authors |
| Goran Janevski | |
| Department of Mechanical
Engineering University of Niš Univerzitetski trg 2 18000 Niš Serbia |
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| Ivan Pavlović | |
| Department of Mechanical
Engineering University of Niš 18000 Niš Serbia |
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| Nikola Despenić | |
| Department of Mechanical
Engineering University of Niš 18000 Niš Serbia |
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