The following plots, Figures 5 and 6, are a presentation of the statistical distribution of the pole information for the two clusters (pseudo-repeated root) shown in Figure 4. In Figures 5 and 6, the black stars are the original pole estimates and the red star represents the mean pole calculated from this cluster of pole estimates. The large red circle is the one standard deviation radius. The green square is the indvidual standard deviations for the frequency and the damping. The blue circle is the pole as estimated from the pole weighted (state extended) vector. Note that the scaling for the two different mode clusters in Figure 5 is consistent so that larger diameter circles will represent more variability. 362 362.5 363 363.5 364 364.5 −4 −3.5 −3 −2.5 Pole Surface Consistency Imaginary (Hz) Real (Hz) cluster pole & vector pole frequency conjugate non realistic 1/condition Figure 4. C-Plate Example: Zoomed Pole Clusters - Damping Hz 362 362.2 362.4 362.6 362.8 363 −3.6 −3.5 −3.4 −3.3 −3.2 −3.1 −3 −2.9 −2.8 −2.7 Frequency [Hz] Damping [Hz] Pole Cluster (N = 16) 363.4 363.6 363.8 364 364.2 364.4 −4 −3.9 −3.8 −3.7 −3.6 −3.5 −3.4 −3.3 −3.2 −3.1 Frequency [Hz] Damping [Hz] Pole Cluster (N = 16) Figure 5. C-Plate Example: 362.6 Hz and 363.9 Hz Pole Clusters - Statistics 391
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