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Stochastic stability of multi-nanobeam systems

Ivan R. Pavlović, Danilo Karlicic Orcid Logo, Ratko Pavlović, Goran Janevski, Ivan Ćirić

International Journal of Engineering Science, Volume: 109, Pages: 88 - 105

Swansea University Author: Danilo Karlicic Orcid Logo

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DOI (Published version): 10.1016/j.ijengsci.2016.09.006

Abstract

The paper analyzes a stochastic stability problem of a multi-nanobeam system subjected to compressive axial loading. It is assumed that each pair of nanobeams is simply supported and continuously joined by a viscoelastic layer. Differential equations of nanobeams are given according to Eringen'...

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Published in: International Journal of Engineering Science
ISSN: 0020-7225
Published: Elsevier BV 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa49826
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spelling 2020-06-16T15:33:02.3915609 v2 49826 2019-03-29 Stochastic stability of multi-nanobeam systems d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 2019-03-29 EEN The paper analyzes a stochastic stability problem of a multi-nanobeam system subjected to compressive axial loading. It is assumed that each pair of nanobeams is simply supported and continuously joined by a viscoelastic layer. Differential equations of nanobeams are given according to Eringen's nonlocal elasticity theory of Helmholtz and bi-Helmholtz type of kernel and Euler–Bernoulli beam theory. Each pair of axial forces consists of a constant part and a time-dependent stochastic function. By using the moment Lyapunov exponent method, regions of almost sure stability of a multi-nanobeam system are obtained in a function of different parameters of the viscoelastic medium, axial loadings and number of nanobeams. Using the regular perturbation method, an approximated analytical solution of the moment Lyapunov exponent is obtained for a single nanobeam subjected to the white noise process, where the results are successfully confirmed with numerical results using the Monte Carlo simulation method. Numerical determination of the moment Lyapunov exponents is further performed for a higher number of nanobeams and different models of wideband processes. Journal Article International Journal of Engineering Science 109 88 105 Elsevier BV 0020-7225 Nonlocal elasticity; Multi-nanobeam; Viscoelastic medium; Stochastic stability; Moment lyapunov exponent; Almost sure stability; Wideband process 31 12 2016 2016-12-31 10.1016/j.ijengsci.2016.09.006 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2020-06-16T15:33:02.3915609 2019-03-29T21:39:47.2750653 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Ivan R. Pavlović 1 Danilo Karlicic 0000-0002-7547-9293 2 Ratko Pavlović 3 Goran Janevski 4 Ivan Ćirić 5
title Stochastic stability of multi-nanobeam systems
spellingShingle Stochastic stability of multi-nanobeam systems
Danilo Karlicic
title_short Stochastic stability of multi-nanobeam systems
title_full Stochastic stability of multi-nanobeam systems
title_fullStr Stochastic stability of multi-nanobeam systems
title_full_unstemmed Stochastic stability of multi-nanobeam systems
title_sort Stochastic stability of multi-nanobeam systems
author_id_str_mv d99ee591771c238aab350833247c8eb9
author_id_fullname_str_mv d99ee591771c238aab350833247c8eb9_***_Danilo Karlicic
author Danilo Karlicic
author2 Ivan R. Pavlović
Danilo Karlicic
Ratko Pavlović
Goran Janevski
Ivan Ćirić
format Journal article
container_title International Journal of Engineering Science
container_volume 109
container_start_page 88
publishDate 2016
institution Swansea University
issn 0020-7225
doi_str_mv 10.1016/j.ijengsci.2016.09.006
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 0
active_str 0
description The paper analyzes a stochastic stability problem of a multi-nanobeam system subjected to compressive axial loading. It is assumed that each pair of nanobeams is simply supported and continuously joined by a viscoelastic layer. Differential equations of nanobeams are given according to Eringen's nonlocal elasticity theory of Helmholtz and bi-Helmholtz type of kernel and Euler–Bernoulli beam theory. Each pair of axial forces consists of a constant part and a time-dependent stochastic function. By using the moment Lyapunov exponent method, regions of almost sure stability of a multi-nanobeam system are obtained in a function of different parameters of the viscoelastic medium, axial loadings and number of nanobeams. Using the regular perturbation method, an approximated analytical solution of the moment Lyapunov exponent is obtained for a single nanobeam subjected to the white noise process, where the results are successfully confirmed with numerical results using the Monte Carlo simulation method. Numerical determination of the moment Lyapunov exponents is further performed for a higher number of nanobeams and different models of wideband processes.
published_date 2016-12-31T04:01:03Z
_version_ 1763753133123567616
score 11.012678

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