Vol. 15, No. 1, 2020

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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

Vol. 15 (2020), No. 1, 107–133
Abstract

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.

Keywords
Timoshenko beam theory, thermal buckling, vibration, functionally graded materials, higher-order strain gradient theory
Milestones
Received: 17 July 2019
Revised: 5 December 2019
Accepted: 14 December 2019
Published: 26 February 2020
Authors
Goran Janevski
Department of Mechanical Engineering
University of Niš
Univerzitetski trg 2
18000 Niš
Serbia
Ivan Pavlović
Department of Mechanical Engineering
University of Niš
18000 Niš
Serbia
Nikola Despenić
Department of Mechanical Engineering
University of Niš
18000 Niš
Serbia