Mathematical Problems in Engineering / 2017 / Article / Tab 3 / Research Article
The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition Table 3 Comparison of the first nine frequencies (Hz) of functionally graded cylindrical panels with different power-law index
.Method Mode numbers 1 2 3 4 5 6 7 8 9 0 Ref [52 ] 61.02 94.82 153.13 241.39 275.83 291.45 355.14 450.76 511.92 Ref [8 ] 61.06 94.92 153.11 241.75 276.37 291.94 355.07 450.82 512.48 Present 61.02 94.82 153.12 241.60 276.22 291.64 355.09 450.72 512.31 0.6 Ref [52 ] 59.24 93.14 148.51 234.79 267.06 287.85 343.22 443.06 495.89 Ref [8 ] 59.13 93.03 148.14 234.60 266.97 287.63 342.38 442.09 495.31 Present 59.09 92.93 148.15 234.45 266.83 287.34 342.39 441.99 495.15 1 Ref [52 ] 58.96 92.65 147.94 233.64 265.86 286.16 342.08 440.72 493.67 Ref [8 ] 58.82 92.48 147.49 233.31 265.61 285.77 341.04 439.49 492.80 Present 58.78 92.38 147.50 233.16 265.47 285.48 341.05 439.39 492.63 5 Ref [52 ] 60.09 91.69 152.02 236.75 272.42 279.34 354.89 436.34 505.35 Ref [8 ] 59.96 91.54 151.57 236.42 272.19 279.06 353.83 435.18 504.56 Present 59.92 91.44 151.59 236.29 272.04 278.78 353.84 435.09 504.37 20 Ref [52 ] 59.19 90.29 149.49 233.27 268.37 275.23 348.80 429.63 497.87 Ref [8 ] 59.16 90.30 149.29 233.32 268.57 275.41 348.32 429.19 497.87 Present 59.12 90.20 149.30 233.20 268.43 275.13 348.33 429.10 497.69 50 Ref [52 ] 58.20 89.55 146.55 229.79 263.58 273.98 341.04 425.83 489.06 Ref [8 ] 58.21 89.60 146.45 230.00 263.95 274.32 340.79 425.66 489.36 Present 58.17 89.51 146.46 229.87 263.81 274.04 340.80 425.57 489.19