A Multi-Point Force Appropriation Method Based Upon a Singular Value Decomposition Approach

[+] Author and Article Information
Jer-Nan Juang

NASA Langley Research Center, Hampton, VA 23665

J. R. Wright

Department of Engineering, University of Manchester, Manchester, England

J. Vib. Acoust 113(2), 176-181 (Apr 01, 1991) (6 pages) doi:10.1115/1.2930166 History: Received October 01, 1989; Online June 17, 2008


Force appropriation methods aim to provide an estimate for the force pattern required to excite a “pure” normal mode in a vibration test where multiple exciters are available. In this paper, a new method based upon a Singular Value Decomposition approach is presented. The appropriated force vector which minimizes the in-phase response components while maximizing the required quadrature components is found, subject to a fixed force norm. The method can accommodate more transducers than exciters and also more exciters than effective degrees of freedom. The method is demonstrated upon a six degree of freedom theoretical model and it is shown that an estimate for the effective degrees of freedom can be obtained.

Copyright © 1991 by The American Society of Mechanical Engineers
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