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.
International Journal of Vehicle Noise and Vibration, 2004 Vol.1 No.1/2, pp.1 - 30
Available online: 29 Mar 2004 *Full-text access for editors Access for subscribers Purchase this article Comment on this article