22 J. Brunetti et al. 50 100 150 200 a 102 101 100 10−1 10−2 Frequency [Hz] 50 100 150 200 Frequency [Hz] 50 100 150 200 Frequency [Hz] 50 100 150 200 Frequency [Hz] 50 100 150 200 Frequency [Hz] 50 100 150 200 Frequency [Hz] |FRF| d 101 100 10−1 10−2 10−3 10−4 |FRF| e 102 101 100 10−1 10−2 10−3 10−4 |FRF| f 100 10−1 10−2 10−3 10−4 10−5 |FRF| b 101 100 10−2 10−1 10−3 |FRF| c 101 100 10−2 10−1 10−3 |FRF| IN22D1,N39D1 IN39D1,N22D1 IN22D1,N61D1 IN61D1,N22D1 IN22D3,N61D3 IN61D3,N22D3 IN61D1,N61D3 IN61D3,N61D1 IN39D1,N61D3 IN61D3,N39D1 IN39D1,N61D1 IN61D1,N39D1 Fig. 2.5 Reciprocal terms of the measured inertance matrix for the two bladed turbine subsystem. (a) FRFs between 22x-39x. (b) FRFs between 22x-61x. (c) FRFs between 22z-61z. (d) FRFs between 39x-61x. (e) FRFs between 39x-61z. (f) FRFs between 61x-61z (Color figure online) 20 40 60 80 100 120 140 20 25 30 35 40 45 50 o o o o o v s s s s s s s s s o v s s s v o v s s s v o v s s so s s s s sv s o s s s sv s o s s s sv s v s s s ss s o o s s sv s o o s s sv s o o s s sv s ov s s s sv s sv s s s sv s ov v s s sv s ov v s s sv s ov s s s sv s ov s s s sv s sv s s s s s v v s s s s o s s s sv s sv s s s sv s vv o s s sv s ov o s s sv s os o s s sv s ov o s s sv s ov s s s sv s os o s s sv s sv v s s s o s sv v s s s v s Frequency [Hz] Model Order 3 4 5 6 7 8 9 Log Σ |FRF| 10−1 100 101 102 |H2z,2x| 20 40 60 80 100 120 140 −2 0 2 Frequency [Hz] a b phase(H2z,2x) Experimental Fitting Fig. 2.6 Modal identification of the mass loaded blade subsystem. (a) Stabilization plot of the Ploy-LSCF. (b) Identification results From the theory, the complete vector of modal participation factors fLgr is proportional to the corresponding eigenvector f gr. For each reference DoFn, a complex proportionality constant cn can be defined as: cn D QLn;r n;r (2.16)
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