A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles

Rubber isolators are usually used to protect high-precision equipment of autonomous underwater vehicles (AUVs), avoiding damage from overlarge dynamic excitation. Considering the nonlinear properties of the rubber material, the nonlinear behavior of rubber isolators under shock exaltation is hard to...

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Autores principales: Heye Xiao, Chizhen Xu, Ruobing Wang, Peixun Yu, Jie Zhou, Junqiang Bai
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/b0d1567c76af4c629a904e90a338731e
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spelling oai:doaj.org-article:b0d1567c76af4c629a904e90a338731e2021-11-25T18:05:03ZA Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles10.3390/jmse91112822077-1312https://doaj.org/article/b0d1567c76af4c629a904e90a338731e2021-11-01T00:00:00Zhttps://www.mdpi.com/2077-1312/9/11/1282https://doaj.org/toc/2077-1312Rubber isolators are usually used to protect high-precision equipment of autonomous underwater vehicles (AUVs), avoiding damage from overlarge dynamic excitation. Considering the nonlinear properties of the rubber material, the nonlinear behavior of rubber isolators under shock exaltation is hard to be predict accurately without the available modal and accurate parameters. In view of this, the present study proposes a nonlinear model and parameter identification method of rubber isolators to present their transient responses under shock excitation. First, a nonlinear model of rubber isolators is introduced for simulating their amplitude and frequency-dependent deformation under shock excitation. A corresponding dynamic equation of the isolation system is proposed and analytically solved by the Newmark method and the Newton-arithmetic mean method. Secondly, a multilayer feed-forward neural network (MFFNN) is constructed with the current model to search the parameters, in which the differences between the estimated and tested responses are minimized. The sine-sweep and drop test are planned with MFFNN to build the parameter identification process of rubber isolators. Then, a T-shaped isolator composed of high-damping silicon rubber is selected as a sample, and its parameters were determined by the current identification process. The transient responses of the isolation system are reconstructed by the current mode with the identified parameter, which show good agreement with measured responses. The accuracy of the proposed model and parameter identification method is proved. Finally, the errors between the reconstructed responses and tested responses are analyzed, and the main mode of energy attenuation in the rubber isolator is discussed in order to provide an inside view of the current model.Heye XiaoChizhen XuRuobing WangPeixun YuJie ZhouJunqiang BaiMDPI AGarticlerubber isolatornonlinear behaviorparameter identification methodmultilayer feed-forward neural networkfractional-order methodunderwater vehicleNaval architecture. Shipbuilding. Marine engineeringVM1-989OceanographyGC1-1581ENJournal of Marine Science and Engineering, Vol 9, Iss 1282, p 1282 (2021)
institution DOAJ
collection DOAJ
language EN
topic rubber isolator
nonlinear behavior
parameter identification method
multilayer feed-forward neural network
fractional-order method
underwater vehicle
Naval architecture. Shipbuilding. Marine engineering
VM1-989
Oceanography
GC1-1581
spellingShingle rubber isolator
nonlinear behavior
parameter identification method
multilayer feed-forward neural network
fractional-order method
underwater vehicle
Naval architecture. Shipbuilding. Marine engineering
VM1-989
Oceanography
GC1-1581
Heye Xiao
Chizhen Xu
Ruobing Wang
Peixun Yu
Jie Zhou
Junqiang Bai
A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles
description Rubber isolators are usually used to protect high-precision equipment of autonomous underwater vehicles (AUVs), avoiding damage from overlarge dynamic excitation. Considering the nonlinear properties of the rubber material, the nonlinear behavior of rubber isolators under shock exaltation is hard to be predict accurately without the available modal and accurate parameters. In view of this, the present study proposes a nonlinear model and parameter identification method of rubber isolators to present their transient responses under shock excitation. First, a nonlinear model of rubber isolators is introduced for simulating their amplitude and frequency-dependent deformation under shock excitation. A corresponding dynamic equation of the isolation system is proposed and analytically solved by the Newmark method and the Newton-arithmetic mean method. Secondly, a multilayer feed-forward neural network (MFFNN) is constructed with the current model to search the parameters, in which the differences between the estimated and tested responses are minimized. The sine-sweep and drop test are planned with MFFNN to build the parameter identification process of rubber isolators. Then, a T-shaped isolator composed of high-damping silicon rubber is selected as a sample, and its parameters were determined by the current identification process. The transient responses of the isolation system are reconstructed by the current mode with the identified parameter, which show good agreement with measured responses. The accuracy of the proposed model and parameter identification method is proved. Finally, the errors between the reconstructed responses and tested responses are analyzed, and the main mode of energy attenuation in the rubber isolator is discussed in order to provide an inside view of the current model.
format article
author Heye Xiao
Chizhen Xu
Ruobing Wang
Peixun Yu
Jie Zhou
Junqiang Bai
author_facet Heye Xiao
Chizhen Xu
Ruobing Wang
Peixun Yu
Jie Zhou
Junqiang Bai
author_sort Heye Xiao
title A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles
title_short A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles
title_full A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles
title_fullStr A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles
title_full_unstemmed A Nonlinear Model and Parameter Identification Method for Rubber Isolators under Shock Excitation in Underwater Vehicles
title_sort nonlinear model and parameter identification method for rubber isolators under shock excitation in underwater vehicles
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/b0d1567c76af4c629a904e90a338731e
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