Table 1: Experimental and numerical values of natural frequencies for various crack depth ratios (uncorrected numerical values shown within brackets and corrected numerical results are shown with the asterisk). V: vertical and H: horizontal.

FrequencyCrack depth ratios
0.0%10%20%30%
VHVHVHVH

First34.134 (34.338) 34.338*43.633 (43.858) 43.858*34.125 (34.337) 34.262*43.515 (43.855) 43.550*33.816 (34.337) 34.286*43.363 (43.849) 43.046*33.778 (34.336) 34.176*43.343 (43.844) 42.570*

Second76.703 (78.269) 78.269*78.792 (80.436) 80.436*76.657 (78.265) 77.889*78.806 (80.425) 79.481*76.483 (78.266) 77.953*78.424 (80.408) 78.054*76.195 (78.260) 76.835*78.382 (80.392) 77.398*

Third191.652 (190.42) 190.42*199.499 (196.13) 196.13*191.491 (190.42) 189.99*199.204 (196.12) 195.04*191.256 (190.42) 190.05*199.069 (196.10) 193.47*190.859 (190.41) 189.42*199.006 (196.08) 192.17*

Fourth367.563 (366.26) 366.26*383.139 (382.40) 382.40*367.282 (366.26) 365.94*379.423 (382.39) 380.85*365.883 (366.26) 366.03*379.213 (382.36) 378.62*365.752 (366.26) 365.55*379.109 (382.33) 376.84*

FrequencyCrack depth ratios
40%50%60%70%
VHVHVHVH

First33.556 (34.334) 33.964*43.185 (43.841) 42.964*33.145 (34.329) 33.563*42.947 (43.841) 42.300*32.774 (34.320) 32.762*42.862 (43.841) 42.274*31.286 (34.300) 30.964*42.069 (43.837) 41.962*

Second75.572 (78.248) 76.240*78.298 (80.384) 76.412*74.553 (78.228) 74.743*78.214 (80.382) 76.151*73.401 (78.186) 71.921*77.644 (80.381) 76.059*69.774 (78.088) 67.206*75.896 (80.370) 75.361*

Third190.076 (190.40) 188.34*198.671 (196.07) 191.55*188.763 (190.38) 186.58*198.299 (196.07) 191.46*187.240 (190.33) 183.81*197.993 (196.06) 191.37*182.790 (190.22) 179.66*194.457 (196.05) 190.66*

Fourth363.809 (366.25) 364.68*378.435 (382.32) 376.03*359.989 (366.23) 363.21*377.565 (382.32) 375.98*355.839 (366.19) 360.84*376.664 (382.32) 375.92343.971 (366.10) 357.25*373.689 (382.30) 375.03*