Optimum design of dynamic absorber for pattern formation phenomena generated in contact rotating systems (3rd report, in the case of a multi-degree-of-freedom system)

Research output: Contribution to journalArticle

Abstract

Pattern formation phenomena often occur in contact rotating systems. In a previous report, a countermeasure employing a dynamic absorber was suggested and optimized for a single-DOF system. When a similar design is applied to a multi-DOF system, some additional difficulties arise. Due to different natural modes, multiple dynamic absorbers are required. As a result, the calculation effort increases significantly due to the dramatic increase in the number of design parameters when all of the absorbers are designed simultaneously. Additionally, as the modes are somewhat interdependent, it is difficult to design appropriate dynamic absorbers for a multi-DOF. In order to overcome these difficulties, a systematic mode-by-mode design approach is proposed. Meanwhile, a criterion clarifying the relativity of unstable vibration modes before and after adding the dynamic absorbers is derived by using the stability analysis developed in earlier studies. The effectiveness of the proposed method is then verified with results calculated numerically from an example 5-DOF system.

Original languageEnglish
Pages (from-to)3608-3620
Number of pages13
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume77
Issue number782
Publication statusPublished - 2011

Fingerprint

Relativity
Optimum design

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials
  • Industrial and Manufacturing Engineering

Cite this

@article{a4cd8e3d4dca4e5997bfa7482b970fdb,
title = "Optimum design of dynamic absorber for pattern formation phenomena generated in contact rotating systems (3rd report, in the case of a multi-degree-of-freedom system)",
abstract = "Pattern formation phenomena often occur in contact rotating systems. In a previous report, a countermeasure employing a dynamic absorber was suggested and optimized for a single-DOF system. When a similar design is applied to a multi-DOF system, some additional difficulties arise. Due to different natural modes, multiple dynamic absorbers are required. As a result, the calculation effort increases significantly due to the dramatic increase in the number of design parameters when all of the absorbers are designed simultaneously. Additionally, as the modes are somewhat interdependent, it is difficult to design appropriate dynamic absorbers for a multi-DOF. In order to overcome these difficulties, a systematic mode-by-mode design approach is proposed. Meanwhile, a criterion clarifying the relativity of unstable vibration modes before and after adding the dynamic absorbers is derived by using the stability analysis developed in earlier studies. The effectiveness of the proposed method is then verified with results calculated numerically from an example 5-DOF system.",
author = "Nobuyuki Sowa and Takahiro Kondou",
year = "2011",
language = "English",
volume = "77",
pages = "3608--3620",
journal = "Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "The Japan Society of Mechanical Engineers",
number = "782",

}

TY - JOUR

T1 - Optimum design of dynamic absorber for pattern formation phenomena generated in contact rotating systems (3rd report, in the case of a multi-degree-of-freedom system)

AU - Sowa, Nobuyuki

AU - Kondou, Takahiro

PY - 2011

Y1 - 2011

N2 - Pattern formation phenomena often occur in contact rotating systems. In a previous report, a countermeasure employing a dynamic absorber was suggested and optimized for a single-DOF system. When a similar design is applied to a multi-DOF system, some additional difficulties arise. Due to different natural modes, multiple dynamic absorbers are required. As a result, the calculation effort increases significantly due to the dramatic increase in the number of design parameters when all of the absorbers are designed simultaneously. Additionally, as the modes are somewhat interdependent, it is difficult to design appropriate dynamic absorbers for a multi-DOF. In order to overcome these difficulties, a systematic mode-by-mode design approach is proposed. Meanwhile, a criterion clarifying the relativity of unstable vibration modes before and after adding the dynamic absorbers is derived by using the stability analysis developed in earlier studies. The effectiveness of the proposed method is then verified with results calculated numerically from an example 5-DOF system.

AB - Pattern formation phenomena often occur in contact rotating systems. In a previous report, a countermeasure employing a dynamic absorber was suggested and optimized for a single-DOF system. When a similar design is applied to a multi-DOF system, some additional difficulties arise. Due to different natural modes, multiple dynamic absorbers are required. As a result, the calculation effort increases significantly due to the dramatic increase in the number of design parameters when all of the absorbers are designed simultaneously. Additionally, as the modes are somewhat interdependent, it is difficult to design appropriate dynamic absorbers for a multi-DOF. In order to overcome these difficulties, a systematic mode-by-mode design approach is proposed. Meanwhile, a criterion clarifying the relativity of unstable vibration modes before and after adding the dynamic absorbers is derived by using the stability analysis developed in earlier studies. The effectiveness of the proposed method is then verified with results calculated numerically from an example 5-DOF system.

UR - http://www.scopus.com/inward/record.url?scp=84859614918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859614918&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84859614918

VL - 77

SP - 3608

EP - 3620

JO - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 782

ER -