Linear Forced Vibration Analysis of Two- and Three-dimensional Tree Structures by the Transfer Influence Coefficient Method

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Abstract

An algorithm for free vibration analysis of a tree structure formulated in the previous reports by applying the transfer influence coefficient method is extended in order to analyze forced vibration of a tree structure which is mainly found in pipeline systems. The tree structure has some crooked parts and subsystems but has no closed loop in the systems. It is modeled as a distributed mass system with consideration of structural damping, and the present algorithm is formulated for both two- and three-dimensional tree structures. It is theoretically confirmed that some merits of the transfer influence coefficient method for free vibration analysis, for example, excellence in both computation accuracy and speed are also realized for the forced vibration analysis. Moreover, the present algorithm enables us to easily analyze a vibrating system excited by forced displacement by changing the corresponding spring constants conveniently.

Original languageEnglish
Pages (from-to)1159-1166
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series C
Volume60
Issue number572
DOIs
Publication statusPublished - Jan 1 1994
Externally publishedYes

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Vibration analysis
Pipelines
Damping

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "Linear Forced Vibration Analysis of Two- and Three-dimensional Tree Structures by the Transfer Influence Coefficient Method",
abstract = "An algorithm for free vibration analysis of a tree structure formulated in the previous reports by applying the transfer influence coefficient method is extended in order to analyze forced vibration of a tree structure which is mainly found in pipeline systems. The tree structure has some crooked parts and subsystems but has no closed loop in the systems. It is modeled as a distributed mass system with consideration of structural damping, and the present algorithm is formulated for both two- and three-dimensional tree structures. It is theoretically confirmed that some merits of the transfer influence coefficient method for free vibration analysis, for example, excellence in both computation accuracy and speed are also realized for the forced vibration analysis. Moreover, the present algorithm enables us to easily analyze a vibrating system excited by forced displacement by changing the corresponding spring constants conveniently.",
author = "Takumi Inoue and Atsuo Sueoka and Takahiro Kondou",
year = "1994",
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AU - Inoue, Takumi

AU - Sueoka, Atsuo

AU - Kondou, Takahiro

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N2 - An algorithm for free vibration analysis of a tree structure formulated in the previous reports by applying the transfer influence coefficient method is extended in order to analyze forced vibration of a tree structure which is mainly found in pipeline systems. The tree structure has some crooked parts and subsystems but has no closed loop in the systems. It is modeled as a distributed mass system with consideration of structural damping, and the present algorithm is formulated for both two- and three-dimensional tree structures. It is theoretically confirmed that some merits of the transfer influence coefficient method for free vibration analysis, for example, excellence in both computation accuracy and speed are also realized for the forced vibration analysis. Moreover, the present algorithm enables us to easily analyze a vibrating system excited by forced displacement by changing the corresponding spring constants conveniently.

AB - An algorithm for free vibration analysis of a tree structure formulated in the previous reports by applying the transfer influence coefficient method is extended in order to analyze forced vibration of a tree structure which is mainly found in pipeline systems. The tree structure has some crooked parts and subsystems but has no closed loop in the systems. It is modeled as a distributed mass system with consideration of structural damping, and the present algorithm is formulated for both two- and three-dimensional tree structures. It is theoretically confirmed that some merits of the transfer influence coefficient method for free vibration analysis, for example, excellence in both computation accuracy and speed are also realized for the forced vibration analysis. Moreover, the present algorithm enables us to easily analyze a vibrating system excited by forced displacement by changing the corresponding spring constants conveniently.

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