Transverse vibration analysis of nonlocal beams with various slenderness ratios, undergoing thermal stress

• Autorzy: Babaei Alireza , Rahmani Arash , Ahmadi Isa

Identyfikatory

DOI

10.24425/ame.2019.126368

• Języki publikacji: EN

Abstrakty

EN

In this paper, thermally-excited, lateral free vibration analysis of a small-sized Euler-Bernoulli beam is studied based on the nonlocal theory. Nonlocal effect is exerted into analysis utilizing differential constitutive model of Eringen. This model is suitable for design of sensors and actuators in dimensions of micron and submicron. Sudden temperature rise conducted through the thickness direction of the beam causes thermal stresses and makes thermo-mechanical properties to vary. This temperature field is supposed to be constant in the lateral direction. Temperatures of the top and bottom surfaces of the system are considered to be equal to each other. Governing equation of motion is derived using Hamilton’s principle. Numerical analysis of the system is performed by Galerkin’s approach. For verification of the present results, comparison between the obtained results and those of benchmark is reported. Numerical results demonstrate that dynamic behavior of small-sized system is been effected by temperature shift, nonlocal parameter, and slenderness ratio. As a result, taking the mentioned parameters into account leads to better and more reliable design in miniaturized-based industries.

Słowa kluczowe

EN

small-sized beam; nonlocal theory; temperature dependent properties; free vibration; lateral vibration

PL

belka o małych rozmiarach; teoria nielokalna; właściwości zależne od temperatury; drgania swobodne; drgania boczne

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2019
• Tom: Vol. LXVI, nr 1
• Strony: 5--24
• Opis fizyczny: Bibliogr. 36 poz., rys., tab.

Twórcy

autor

Babaei Alireza

• Department of Mechanical Engineering,University of North Dakota, Grand Forks, North Dakota, USA
• Department of Mechanical Engineering, University of Kentucky, Lexington, Kentucky, USA

autor

Rahmani Arash

• Faculty of Mechanical Engineering, Urmia University of Technology, Urmia, Iran

autor

Ahmadi Isa

• Faculty of Mechanical Engineering, University of Zanjan, Zanjan, Iran

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).