Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation

This paper aimed to explore analytically the influences of random excitation on a shape memory alloy (SMA) oscillator. Firstly, on the basis of the deterministic SMA model under a harmonic excitation, we introduce a stochastic SMA model with a narrow-band random excitation. Subsequently, a theoretic...

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Autores principales:	Rong Guo, Qi Liu, Junlin Li, Yong Xu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	shape memory alloy oscillator narrow-band random excitation multiple-scale method stochastic switch and bifurcation Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/99702ebf918b4d6ca7634f325d08d0a6
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spelling	oai:doaj.org-article:99702ebf918b4d6ca7634f325d08d0a62021-11-11T15:13:51ZResponse Statistics of a Shape Memory Alloy Oscillator with Random Excitation10.3390/app1121101752076-3417https://doaj.org/article/99702ebf918b4d6ca7634f325d08d0a62021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10175https://doaj.org/toc/2076-3417This paper aimed to explore analytically the influences of random excitation on a shape memory alloy (SMA) oscillator. Firstly, on the basis of the deterministic SMA model under a harmonic excitation, we introduce a stochastic SMA model with a narrow-band random excitation. Subsequently, a theoretical analysis for the proposed SMA model was achieved through a multiple-scale method coupled with a perturbation technique. All of the obtained approximate analytical solutions were verified by numerical simulation results, and good agreements were observed. Then, effects of the random excitation and the temperature value on the system responses were investigated in detail. Finally, we found that stochastic switch and bifurcation can be induced by the random fluctuation, which were further illustrated through time history and steady-state probability density function. These results indicate that the random excitation has a significant impact on dynamics of the SMA model. This research provides a certain theoretical basis for the design and vibration control of the SMA oscillator in practical application.Rong GuoQi LiuJunlin LiYong XuMDPI AGarticleshape memory alloy oscillatornarrow-band random excitationmultiple-scale methodstochastic switch and bifurcationTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10175, p 10175 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	shape memory alloy oscillator narrow-band random excitation multiple-scale method stochastic switch and bifurcation Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	shape memory alloy oscillator narrow-band random excitation multiple-scale method stochastic switch and bifurcation Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Rong Guo Qi Liu Junlin Li Yong Xu Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation
description	This paper aimed to explore analytically the influences of random excitation on a shape memory alloy (SMA) oscillator. Firstly, on the basis of the deterministic SMA model under a harmonic excitation, we introduce a stochastic SMA model with a narrow-band random excitation. Subsequently, a theoretical analysis for the proposed SMA model was achieved through a multiple-scale method coupled with a perturbation technique. All of the obtained approximate analytical solutions were verified by numerical simulation results, and good agreements were observed. Then, effects of the random excitation and the temperature value on the system responses were investigated in detail. Finally, we found that stochastic switch and bifurcation can be induced by the random fluctuation, which were further illustrated through time history and steady-state probability density function. These results indicate that the random excitation has a significant impact on dynamics of the SMA model. This research provides a certain theoretical basis for the design and vibration control of the SMA oscillator in practical application.
format	article
author	Rong Guo Qi Liu Junlin Li Yong Xu
author_facet	Rong Guo Qi Liu Junlin Li Yong Xu
author_sort	Rong Guo
title	Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation
title_short	Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation
title_full	Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation
title_fullStr	Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation
title_full_unstemmed	Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation
title_sort	response statistics of a shape memory alloy oscillator with random excitation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/99702ebf918b4d6ca7634f325d08d0a6
work_keys_str_mv	AT rongguo responsestatisticsofashapememoryalloyoscillatorwithrandomexcitation AT qiliu responsestatisticsofashapememoryalloyoscillatorwithrandomexcitation AT junlinli responsestatisticsofashapememoryalloyoscillatorwithrandomexcitation AT yongxu responsestatisticsofashapememoryalloyoscillatorwithrandomexcitation
_version_	1718436395571216384

Response Statistics of a Shape Memory Alloy Oscillator with Random Excitation

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