Vibration analysis of distributed-lumped rotor systems

Majid Aleyaasin, M Ebrahimi, R Whalley

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In this paper a distributed-lumped model for the analysis of the flexural vibrations of a rotor-bearing system is considered. A general formula for the determinant of the tri-diagonal partitioned matrix description of the system is derived. This enables the irrational characteristic determinant of, the system model to be obtained by the dynamic stiffness matrix method. The results obtained are compared to those acquired from the transfer matrix method. The error source in the computation of the natural frequencies by the dynamic stiffness matrix method is discussed. It is shown that by implementing the transfer matrix method the natural frequencies obtained are of greater accuracy. A numerical example illustrating the two methods, is presented and the results achieved are commented upon. (C) 2000 Elsevier Science S.A. All rights reserved.

Original languageEnglish
Pages (from-to)545-558
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume189
Issue number2
Publication statusPublished - 2000

Keywords

  • BEARING SYSTEMS

Cite this

Vibration analysis of distributed-lumped rotor systems. / Aleyaasin, Majid; Ebrahimi, M ; Whalley, R .

In: Computer Methods in Applied Mechanics and Engineering, Vol. 189, No. 2, 2000, p. 545-558.

Research output: Contribution to journalArticle

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AB - In this paper a distributed-lumped model for the analysis of the flexural vibrations of a rotor-bearing system is considered. A general formula for the determinant of the tri-diagonal partitioned matrix description of the system is derived. This enables the irrational characteristic determinant of, the system model to be obtained by the dynamic stiffness matrix method. The results obtained are compared to those acquired from the transfer matrix method. The error source in the computation of the natural frequencies by the dynamic stiffness matrix method is discussed. It is shown that by implementing the transfer matrix method the natural frequencies obtained are of greater accuracy. A numerical example illustrating the two methods, is presented and the results achieved are commented upon. (C) 2000 Elsevier Science S.A. All rights reserved.

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