VIBRATION ANALYSIS OF ANNULAR PLATES USING MODE SUBTRACTION METHOD

In this paper, a mode subtraction method is presented to investigate the sensitivity of changes in displacement mode shape of annular plates relative to the hole size. It is proved that the displacement modes are sensitive to the presence of a hole in a plate. Jump phenomena are observed in the “residual mode shape”, and the number and locations of peaks are determined based upon the displacement modal analysis. Numerical analyses of the changes in displacement mode shapes for different boundary conditions (C–F, S–F, F–F) and relative hole sizes are given. Experimental tests show good agreement with the numerical results.