An Inverse Method for the Assignment of Vibration Nodes
JE Mottershead, C Mares (Liverpool University) & MI Friswell (University of Wales Swansea)
Mechanical Systems and Signal Processing, Vol. 15, No. 1, January 2001, pp. 87-100
An inverse method for the assignment of natural frequencies and nodes of normal modes of vibration by the addition of grounded springs and conentrated masses is presented. The method relies entirely on measured receptances at the coordinates of the nodes and the modifications. Measurements at other locations are not needed, neither is there any need for an analytical model. The stiffness and mass parameters are determined by an analysis of the null space of a matrix containing the measured receptances. Example problems are used to illustrate the application of the technique.
This material has been published in the Mechanical Systems and Signal Processing, Vol. 15, No. 1, January 2001, pp. 87-100, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Academic Press. This material may not be copied or reposted without explicit permission.
Download PDF file (154K)
Link to paper using doi:10.1006/mssp.2000.1353
Mechanical Systems and Signal Processing on ScienceDirect