346 E. Orlowitz and A. Brandt The estimated natural frequencies and damping ratios for the four simulation cases are presented in Table 36.2 together with the ‘true’ values from the experimental test reprinted for completeness. In addition, the deviations of the simulation results from the ‘true’ values too are stated in Table 36.2 and so also cross-MAC values calculated with respect to the ‘true’ mode shapes. Stability diagrams for the simulations are shown in Fig. 36.8. Table 36.2 Estimated natural frequency and damping for the four simulation cases and their deviation from the true values fn [Hz] Diff. fn [%] n [%] Diff. n [%] MAC Mode1 Experimental 140:533 – 3:479 – – Sim1 140:147 0:275 3:178 8:631 0:877 Sim2 140:929 0:282 3:613 3:871 0:993 Sim3 140:848 0:224 3:654 5:041 0:973 Sim4 140:623 0:064 3:456 0:658 0:966 Mode2 Experimental 141:588 – 3:335 – – Sim1 142:055 0:330 3:555 6:610 0:884 Sim2 141:928 0:241 3:548 6:391 0:976 Sim3 141:678 0:063 3:508 5:202 0:992 Sim4 141:680 0:065 3:418 2:484 0:963 Mode3 Experimental 319:717 – 3:013 – – Sim1 319:708 0:003 3:042 0:963 1:000 Sim2 319:779 0:019 2:985 0:940 1:000 Sim3 319:948 0:072 3:004 0:294 1:000 Sim4 319:754 0:012 2:991 0:744 1:000 Mode4 Experimental 388:531 – 3:034 – – Sim1 388:502 0:008 3:036 0:065 0:999 Sim2 388:488 0:011 3:013 0:682 1:000 Sim3 388:581 0:013 2:974 1:972 1:000 Sim4 388:574 0:011 2:981 1:748 1:000 Mode5 Experimental 405:072 – 2:708 – – Sim1 405:118 0:011 2:668 1:476 1:000 Sim2 405:116 0:011 2:715 0:251 1:000 Sim3 405:113 0:010 2:700 0:282 1:000 Sim4 405:175 0:025 2:673 1:297 1:000 Mode6 Experimental 500:982 – 2:551 – – Sim1 501:090 0:022 2:552 0:070 1:000 Sim2 501:052 0:014 2:534 0:647 1:000 Sim3 501:194 0:042 2:537 0:552 1:000 Sim4 501:087 0:021 2:528 0:877 1:000 Mode7 Experimental 580:990 – 3:286 – – Sim1 581:209 0:038 3:262 0:747 1:000 Sim2 581:054 0:011 3:277 0:290 1:000 Sim3 580:848 0:024 3:248 1:174 1:000 Sim4 580:841 0:026 3:315 0:884 1:000 Mode8 Experimental 711:052 – 2:298 – – Sim1 711:129 0:011 2:305 0:304 1:000 Sim2 711:168 0:016 2:308 0:470 1:000 Sim3 711:037 0:002 2:284 0:595 1:000 Sim4 710:972 0:011 2:299 0:040 1:000
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