Determination of system vibratory response characteristics applying a spectral-based inverse sub-structuring approach. Part I: analytical formulation

Jiantie Zhen, Teik C. Lim, Guangqing Lu

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57 Scopus citations

Abstract

The frequency response functions of discretely connected structures, such as a vehicle system, are determined by inverting the spectral-based sub-structuring equation in dynamic compliance form, which is classically used to compute coupled system response in terms of the characteristics of the free sub-structures. The resulting formulation backs out the response spectra of the free sub-structures including the dynamic stiffness terms of the coupling elements. When analysing the vibration response of one sub-structure due to an externally applied harmonic excitation on an adjacent sub-structure, the proposed theory can express the force transmissibility and structural path contribution functions directly in terms of the coupled system response. This provides a convenient way to identify the critical elements of a physical structure containing multiple coupling points without having to disconnect the individual sub-structures. The salient features of this approach are demonstrated using an idealized lumped parameter dynamic system.

Original languageEnglish (US)
Pages (from-to)1-30
Number of pages30
JournalInternational Journal of Vehicle Noise and Vibration
Volume1
Issue number1-2
DOIs
StatePublished - 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Automotive Engineering
  • Mechanical Engineering

Keywords

  • frequency response functions
  • inverse sub-structuring
  • response theory

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