Frequency window method for forced vibration of structures with connected substructures

K. W. Min, T. Igusa, J. D. Achenbach

Research output: Contribution to journalArticlepeer-review

Abstract

A novel method is presented to analyze the harmonic forced vibration of a main structure with multiple connected substructures. The response of the combined system is represented in terms of the uncoupled modes of the system components. Then, the response equations are given in terms of rational polynomial expansions for the main structure mobility, substructure impedances, and the forcing function. Next, the uncoupled modes with natural frequencies closest to the excitation frequency are isolated by a frequency window. The essential idea of the frequency window method is to retain full mathematical detail for these modes and to retain only the essential effects from all remaining modes. This results in both a reduction of complexity and computation effort. The method differs fundamentally from mode truncation and Taylor's series methods. Furthermore, the method gives parameters which provide insight into the coupling effects between the main structure and the substructures.

Original languageEnglish (US)
Pages (from-to)2726-2733
Number of pages8
JournalJournal of the Acoustical Society of America
Volume92
Issue number5
DOIs
StatePublished - Nov 26 1992
Externally publishedYes

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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