BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE

BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE

In this study, we analyzed the bending vibration and stability of a multiple-nanobeam system (MNBS) coupled in elastic medium and influenced by temperature change and compressive axial load. The MNBS is modeled as the system consisting of a set of m identical and simply supported nanobeams mutually...

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Main Authors: Danilo Karličić, Sanja Ožvat, Milan Cajić, Predrag Kozić, Ratko Pavlović
Format: Article
Language:English
Published: University of Niš 2016-04-01
Series:Facta Universitatis. Series: Mechanical Engineering
Online Access:http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/1332
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spelling doaj-261bbaecf665478ba08fdf3ebd2b6e292020-11-25T02:54:26ZengUniversity of NišFacta Universitatis. Series: Mechanical Engineering0354-20252335-01642016-04-01141758810.22190/FUME1601075K821BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGEDanilo Karličić0Sanja Ožvat1Milan Cajić2Predrag Kozić3Ratko Pavlović4Faculty of Mechanical Engineering, University of Niš, Aleksandra Medvedeva 14, Niš 18000, SerbiaFaculty of Technical Sciences, University of Novi Sad, POB 55, 21121 Novi SadMathematical Institute of the Serbian Academy of Science and Arts, Kneza Mihaila 36, 11001 BelgradeFaculty of Mechanical Engineering, University of Niš, Aleksandra Medvedeva 14, Niš 18000,Faculty of Mechanical Engineering, University of Niš, Aleksandra Medvedeva 14, Niš 18000,In this study, we analyzed the bending vibration and stability of a multiple-nanobeam system (MNBS) coupled in elastic medium and influenced by temperature change and compressive axial load. The MNBS is modeled as the system consisting of a set of m identical and simply supported nanobeams mutually connected by Winkler’s type elastic layers. According to the Euler - Bernoulli beam and nonlocal thermo-elasticity theory, the system of m coupled partial differential equations is derived and solved by means of the method of separation of variables as well as the trigonometric one. Analytical solutions for natural frequencies and critical buckling loads of elastic MNBS are obtained. The effects of nonlocal parameter, temperature change and the number of nanobeams on the natural frequencies and the buckling loads are investigated through numerical examples. Thus, this work can represent a starting point to examine dynamical behavior and design of complex nanobeam structures, nanocomposites and nanodevices under the influence of various physical fields.http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/1332
collection DOAJ
language English
format Article
sources DOAJ
author Danilo Karličić
Sanja Ožvat
Milan Cajić
Predrag Kozić
Ratko Pavlović
spellingShingle Danilo Karličić
Sanja Ožvat
Milan Cajić
Predrag Kozić
Ratko Pavlović
BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE
Facta Universitatis. Series: Mechanical Engineering
author_facet Danilo Karličić
Sanja Ožvat
Milan Cajić
Predrag Kozić
Ratko Pavlović
author_sort Danilo Karličić
title BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE
title_short BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE
title_full BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE
title_fullStr BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE
title_full_unstemmed BENDING VIBRATION AND STABILITY OF A MULTIPLE-NANOBEAM SYSTEM INFLUENCED BY TEMPERATURE CHANGE
title_sort bending vibration and stability of a multiple-nanobeam system influenced by temperature change
publisher University of Niš
series Facta Universitatis. Series: Mechanical Engineering
issn 0354-2025
2335-0164
publishDate 2016-04-01
description In this study, we analyzed the bending vibration and stability of a multiple-nanobeam system (MNBS) coupled in elastic medium and influenced by temperature change and compressive axial load. The MNBS is modeled as the system consisting of a set of m identical and simply supported nanobeams mutually connected by Winkler’s type elastic layers. According to the Euler - Bernoulli beam and nonlocal thermo-elasticity theory, the system of m coupled partial differential equations is derived and solved by means of the method of separation of variables as well as the trigonometric one. Analytical solutions for natural frequencies and critical buckling loads of elastic MNBS are obtained. The effects of nonlocal parameter, temperature change and the number of nanobeams on the natural frequencies and the buckling loads are investigated through numerical examples. Thus, this work can represent a starting point to examine dynamical behavior and design of complex nanobeam structures, nanocomposites and nanodevices under the influence of various physical fields.
url http://casopisi.junis.ni.ac.rs/index.php/FUMechEng/article/view/1332
work_keys_str_mv AT danilokarlicic bendingvibrationandstabilityofamultiplenanobeamsysteminfluencedbytemperaturechange
AT sanjaozvat bendingvibrationandstabilityofamultiplenanobeamsysteminfluencedbytemperaturechange
AT milancajic bendingvibrationandstabilityofamultiplenanobeamsysteminfluencedbytemperaturechange
AT predragkozic bendingvibrationandstabilityofamultiplenanobeamsysteminfluencedbytemperaturechange
AT ratkopavlovic bendingvibrationandstabilityofamultiplenanobeamsysteminfluencedbytemperaturechange
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