Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

This paper investigates a nonlinear inertance mechanism (NIM) for vibration mitigation and evaluates the performance of nonlinear vibration isolators employing such mechanism. The NIM comprises a pair of oblique inerters with one common hinged terminal and the other terminals fixed. The addition of...

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Main Authors: Yang, Jian, Jiang, Jason Zheng, Neild, Simon A.
Format: Article
Language:English
Published: Springer 2019
Subjects:
Online Access:https://eprints.nottingham.ac.uk/59610/
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author Yang, Jian
Jiang, Jason Zheng
Neild, Simon A.
author_facet Yang, Jian
Jiang, Jason Zheng
Neild, Simon A.
author_sort Yang, Jian
building Nottingham Research Data Repository
collection Online Access
description This paper investigates a nonlinear inertance mechanism (NIM) for vibration mitigation and evaluates the performance of nonlinear vibration isolators employing such mechanism. The NIM comprises a pair of oblique inerters with one common hinged terminal and the other terminals fixed. The addition of the NIM to a linear spring-damper isolator and to nonlinear quasi-zero-stiffness (QZS) isolators is considered. The harmonic balance method is used to derive the steady-state frequency response relationship and force transmissibility of the isolators subjected to harmonic force excitations. Different performance indices associated with the dynamic displacement response and force transmissibility are employed to evaluate the performance of the resulting isolators. It is found that the frequency response curve of the inerter-based nonlinear isolation system with the NIM and a linear stiffness bends towards the low-frequency range, similar to the characteristics of the Duffing oscillator with softening stiffness. It is shown that the addition of NIM to a QZS isolator enhances vibration isolation performance by providing a wider frequency band of low amplitude response and force transmissibility. These findings provide a better understanding of the functionality of the NIM and assist in better designs of nonlinear passive vibration mitigation systems with inerters.
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spelling nottingham-596102020-01-09T03:20:33Z https://eprints.nottingham.ac.uk/59610/ Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators Yang, Jian Jiang, Jason Zheng Neild, Simon A. This paper investigates a nonlinear inertance mechanism (NIM) for vibration mitigation and evaluates the performance of nonlinear vibration isolators employing such mechanism. The NIM comprises a pair of oblique inerters with one common hinged terminal and the other terminals fixed. The addition of the NIM to a linear spring-damper isolator and to nonlinear quasi-zero-stiffness (QZS) isolators is considered. The harmonic balance method is used to derive the steady-state frequency response relationship and force transmissibility of the isolators subjected to harmonic force excitations. Different performance indices associated with the dynamic displacement response and force transmissibility are employed to evaluate the performance of the resulting isolators. It is found that the frequency response curve of the inerter-based nonlinear isolation system with the NIM and a linear stiffness bends towards the low-frequency range, similar to the characteristics of the Duffing oscillator with softening stiffness. It is shown that the addition of NIM to a QZS isolator enhances vibration isolation performance by providing a wider frequency band of low amplitude response and force transmissibility. These findings provide a better understanding of the functionality of the NIM and assist in better designs of nonlinear passive vibration mitigation systems with inerters. Springer 2019-11-30 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/59610/1/Dynamic.pdf Yang, Jian, Jiang, Jason Zheng and Neild, Simon A. (2019) Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators. Nonlinear Dynamics . ISSN 0924-090X Inerter; Nonlinear vibration isolator; Force transmissibility; Nonlinear inertance mechanism; Backbone curve; Quasi-zero stiffness http://dx.doi.org/10.1007/s11071-019-05391-x doi:10.1007/s11071-019-05391-x doi:10.1007/s11071-019-05391-x
spellingShingle Inerter; Nonlinear vibration isolator; Force transmissibility; Nonlinear inertance mechanism; Backbone curve; Quasi-zero stiffness
Yang, Jian
Jiang, Jason Zheng
Neild, Simon A.
Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
title Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
title_full Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
title_fullStr Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
title_full_unstemmed Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
title_short Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
title_sort dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators
topic Inerter; Nonlinear vibration isolator; Force transmissibility; Nonlinear inertance mechanism; Backbone curve; Quasi-zero stiffness
url https://eprints.nottingham.ac.uk/59610/
https://eprints.nottingham.ac.uk/59610/
https://eprints.nottingham.ac.uk/59610/