Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system

When a rigid and small subsystem is rigidly coupled to a main system of a design target, it would be helpful if the multiple resonance frequencies moved by this coupling could be properly assigned so that they do not coincide with the peak of excitation frequencies to avoid resonance. In this paper,...

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Main Authors: Yuichi MATSUMURA, Hiroto WATANABE, Donghun HWANG
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2021-09-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/87/902/87_21-00160/_pdf/-char/en
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author Yuichi MATSUMURA
Hiroto WATANABE
Donghun HWANG
author_facet Yuichi MATSUMURA
Hiroto WATANABE
Donghun HWANG
author_sort Yuichi MATSUMURA
collection DOAJ
description When a rigid and small subsystem is rigidly coupled to a main system of a design target, it would be helpful if the multiple resonance frequencies moved by this coupling could be properly assigned so that they do not coincide with the peak of excitation frequencies to avoid resonance. In this paper, a rigid and small subsystem is regarded as a rigid body, and a visualization design method to optimize the assignment of multiple resonance frequencies is developed through the design of the mass matrix of the rigid and small subsystem. In this method, the mass matrix is diagonalized by using the principal axis of inertia of the rigid body, and then the frequency band that satisfies the resonance formation condition is predicted by the kernel Compliance Analysis. Furthermore, by combining this method with Weyl's inequality theorem, we made it possible to design the assignment of multiple resonance frequencies while looking at a single figure.
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spelling doaj.art-d5d01f6da8ed4b2d975a7e9d811624872022-12-22T04:35:14ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612021-09-018790221-0016021-0016010.1299/transjsme.21-00160transjsmePlacement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main systemYuichi MATSUMURA0Hiroto WATANABE1Donghun HWANG2Department of Mechanical Engineering, Gifu UniversityEnergy Engineering Division, Graduate School of Gifu UniversityEnergy Engineering Division, Graduate School of Gifu UniversityWhen a rigid and small subsystem is rigidly coupled to a main system of a design target, it would be helpful if the multiple resonance frequencies moved by this coupling could be properly assigned so that they do not coincide with the peak of excitation frequencies to avoid resonance. In this paper, a rigid and small subsystem is regarded as a rigid body, and a visualization design method to optimize the assignment of multiple resonance frequencies is developed through the design of the mass matrix of the rigid and small subsystem. In this method, the mass matrix is diagonalized by using the principal axis of inertia of the rigid body, and then the frequency band that satisfies the resonance formation condition is predicted by the kernel Compliance Analysis. Furthermore, by combining this method with Weyl's inequality theorem, we made it possible to design the assignment of multiple resonance frequencies while looking at a single figure.https://www.jstage.jst.go.jp/article/transjsme/87/902/87_21-00160/_pdf/-char/enresonance frequencystrongly coupled vibrationmodal analysistransfer functionresonance placement
spellingShingle Yuichi MATSUMURA
Hiroto WATANABE
Donghun HWANG
Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
Nihon Kikai Gakkai ronbunshu
resonance frequency
strongly coupled vibration
modal analysis
transfer function
resonance placement
title Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
title_full Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
title_fullStr Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
title_full_unstemmed Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
title_short Placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
title_sort placement of multiple low order resonance frequencies due to rigid coupling of a rigid and small subsystem to a main system
topic resonance frequency
strongly coupled vibration
modal analysis
transfer function
resonance placement
url https://www.jstage.jst.go.jp/article/transjsme/87/902/87_21-00160/_pdf/-char/en
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AT donghunhwang placementofmultipleloworderresonancefrequenciesduetorigidcouplingofarigidandsmallsubsystemtoamainsystem