Nonlinear Vibration Isolation via a NiTiNOL Wire Rope

Vibration isolators with both stiffness and damping nonlinearities show promise for exhibiting compound advantages for broadband vibration isolation. A nonlinear isolator with a NiTiNOL wire rope is proposed with cubic stiffness, hysteretic damping, and pinching effects induced by geometric constrai...

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Autores principales: Mu-Qing Niu, Li-Qun Chen
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:5593f2a72c8340a5864c8e9507e4c6b32021-11-11T15:06:51ZNonlinear Vibration Isolation via a NiTiNOL Wire Rope10.3390/app1121100322076-3417https://doaj.org/article/5593f2a72c8340a5864c8e9507e4c6b32021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10032https://doaj.org/toc/2076-3417Vibration isolators with both stiffness and damping nonlinearities show promise for exhibiting compound advantages for broadband vibration isolation. A nonlinear isolator with a NiTiNOL wire rope is proposed with cubic stiffness, hysteretic damping, and pinching effects induced by geometric constraints, inner frictions, and phase transitions, respectively. A combined method of a beam constraint model and a Bouc-Wen model is presented to characterize the restoring force of the NiTiNOL wire rope. The frequency responses of the nonlinear isolator were analyzed through a harmonic balance method with an alternating frequency/time domain technique. The generalized equivalent stiffness and the generalized equivalent damping ratio were defined for a comprehensive understanding of the nonlinear characteristics. The isolator exhibited a stiffness-softening-hardening characteristic. The pinching effect, the Bouc-Wen hysteresis, and the cubic stiffness mainly influenced the equivalent stiffness at the initial value, the small displacements, and the large displacements, respectively. The rate-independent damping ratio increased and then decreased with increasing displacement, and the parameters influenced the damping ratio change in different ways. Compared to an isolator with a steel wire rope, the isolator with a NiTiNOL wire rope exhibited less initial stiffness and a stronger damping effect, and thus, better vibration isolation performance. The relationships of the peak displacement transmissibility and the resonant frequency with the excitation amplitude were both non-monotonic due to the non-monotonic changes of the stiffness and the damping ratio. The minimum peak transmissibility, the lowest resonant frequency, and their corresponding excitation amplitudes depended on the isolator parameters. The isolator demonstrated stiffness–softening and stiffness–hardening types of jump phenomena with different parameters.Mu-Qing NiuLi-Qun ChenMDPI AGarticlevibration isolationwire ropeNiTiNOLBouc-Wen modelpinching effectTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10032, p 10032 (2021)
institution DOAJ
collection DOAJ
language EN
topic vibration isolation
wire rope
NiTiNOL
Bouc-Wen model
pinching effect
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle vibration isolation
wire rope
NiTiNOL
Bouc-Wen model
pinching effect
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Mu-Qing Niu
Li-Qun Chen
Nonlinear Vibration Isolation via a NiTiNOL Wire Rope
description Vibration isolators with both stiffness and damping nonlinearities show promise for exhibiting compound advantages for broadband vibration isolation. A nonlinear isolator with a NiTiNOL wire rope is proposed with cubic stiffness, hysteretic damping, and pinching effects induced by geometric constraints, inner frictions, and phase transitions, respectively. A combined method of a beam constraint model and a Bouc-Wen model is presented to characterize the restoring force of the NiTiNOL wire rope. The frequency responses of the nonlinear isolator were analyzed through a harmonic balance method with an alternating frequency/time domain technique. The generalized equivalent stiffness and the generalized equivalent damping ratio were defined for a comprehensive understanding of the nonlinear characteristics. The isolator exhibited a stiffness-softening-hardening characteristic. The pinching effect, the Bouc-Wen hysteresis, and the cubic stiffness mainly influenced the equivalent stiffness at the initial value, the small displacements, and the large displacements, respectively. The rate-independent damping ratio increased and then decreased with increasing displacement, and the parameters influenced the damping ratio change in different ways. Compared to an isolator with a steel wire rope, the isolator with a NiTiNOL wire rope exhibited less initial stiffness and a stronger damping effect, and thus, better vibration isolation performance. The relationships of the peak displacement transmissibility and the resonant frequency with the excitation amplitude were both non-monotonic due to the non-monotonic changes of the stiffness and the damping ratio. The minimum peak transmissibility, the lowest resonant frequency, and their corresponding excitation amplitudes depended on the isolator parameters. The isolator demonstrated stiffness–softening and stiffness–hardening types of jump phenomena with different parameters.
format article
author Mu-Qing Niu
Li-Qun Chen
author_facet Mu-Qing Niu
Li-Qun Chen
author_sort Mu-Qing Niu
title Nonlinear Vibration Isolation via a NiTiNOL Wire Rope
title_short Nonlinear Vibration Isolation via a NiTiNOL Wire Rope
title_full Nonlinear Vibration Isolation via a NiTiNOL Wire Rope
title_fullStr Nonlinear Vibration Isolation via a NiTiNOL Wire Rope
title_full_unstemmed Nonlinear Vibration Isolation via a NiTiNOL Wire Rope
title_sort nonlinear vibration isolation via a nitinol wire rope
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/5593f2a72c8340a5864c8e9507e4c6b3
work_keys_str_mv AT muqingniu nonlinearvibrationisolationviaanitinolwirerope
AT liqunchen nonlinearvibrationisolationviaanitinolwirerope
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