Thermal buckling and free vibration of Euler–Bernoulli FG nanobeams based on the higher-order nonlocal strain gradient theory

• Autorzy: Janevski G. , Despenić N. , Pavlović I.

Identyfikatory

DOI

10.24423/aom.3462

• Języki publikacji: EN

Abstrakty

EN

A size-dependent Euler–Bernoulli beam model is derived within the framework of the higher-order nonlocal strain gradient theory. Nonlocal equations of motion are derived by applying Hamilton’s principle and solved with an analytical solution. The solution is obtained using the Navier solution procedure. In the case of simply supported boundary conditions, the analytical solutions of natural frequencies and critical buckling temperature for free vibration problems are obtained. The paper investigates the thermal effects on buckling and free vibrational characteristics of functionally graded 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. The obtained results are compared with previous research.

Słowa kluczowe

EN

Euler–Bernoulli beam theory; thermal buckling; vibration; functionally graded materials; higher-order strain gradient theory

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2020
• Tom: Vol. 72, nr 2
• Strony: 139--168
• Opis fizyczny: Bibliogr. 30 poz., rys.

Twórcy

autor

Janevski G.

• University of Niš, Faculty of Mechanical Engineering, Medvedeva 14, 18000 Niš, Serbia

autor

Despenić N.

• University of Niš, Faculty of Mechanical Engineering, Medvedeva 14, 18000 Niš, Serbia

autor

Pavlović I.

• University of Niš, Faculty of Mechanical Engineering, Medvedeva 14, 18000 Niš, Serbia

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).