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

Authors: Jiantie Zhen, Teik C. Lim, Guangqing Lu

Addresses: TRI Technical Center USA, Inc., Novi, MI 48375, USA. ' Mechanical Industrial and Nuclear Engineering, University of Cincinnati, 598 Rhodes Hall, P.O. Box 210072, Cincinnati, OH 45221, USA. ' Mechanical Engineering, University of Alabama, Tuscaloosa, AL 35487, USA

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 idealised lumped parameter dynamic system.

Keywords: inverse sub-structuring; frequency response functions; response theory.

DOI: 10.1504/IJVNV.2004.004066

International Journal of Vehicle Noise and Vibration, 2004 Vol.1 No.1/2, pp.1 - 30

Available online: 29 Mar 2004 *

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