Shock and Vibration / 2017 / Article / Tab 14

Research Article

Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Table 14

Fundamental frequency parameter Ω for annular sector plate with various boundary conditions and material types ( = 0.5, = 120°, = 0.2, and ).

(KW, KG)Boundary conditions
CCCCCSDCSDCFCFCSCSCE1CE1E2SE2SE1E1E1E1E2E2E2E2E3E3E3E3

Type 1-1 (2-2-1)
(10, 10)0.590.52289.56787.63289.67489.04283.01219.38083.71319.380
573.83573.12071.54473.19272.94669.64220.16670.23520.090
2070.37069.69968.19169.76469.56366.75620.32067.32320.234
(10, 100)0.5105.518104.589101.772104.683103.06698.76619.38099.42519.380
593.19192.49189.84192.54691.15889.50220.17390.07420.173
2090.87690.21787.58490.26588.88087.71120.36688.26320.365
(100, 100)0.5105.831104.904102.099104.997103.38999.09719.38099.75519.380
593.57692.87890.24392.93391.55589.89920.17390.47120.173
2091.28090.62288.00590.66989.29688.12520.36688.67720.365
Type 1-2 (2-2-1)
(10, 10)0.583.22782.29180.35482.39781.47778.02220.44478.69420.444
565.09864.39362.80964.47263.87362.57921.18663.13421.186
2057.95057.34555.94157.41357.00356.13121.26656.62621.193
(10, 100)0.5101.277100.37397.371100.46098.36696.74720.44497.38720.444
585.86585.39674.55385.41175.64485.31821.18785.83921.187
2077.05976.69666.90176.70168.09876.69721.30577.05621.305
(100, 100)0.5101.652100.74997.521100.83598.44197.13520.44497.77520.444
585.86585.40474.55485.42075.64485.34821.18785.83921.187
2077.05976.69766.90176.70168.09876.69721.30577.05621.305
Type 2-1 (2-2-1)
(10, 10)0.584.17483.31481.54483.38782.96178.14519.71978.85019.717
576.29475.52073.95375.56475.31071.88620.23072.58120.219
2074.89874.13072.59974.16973.93170.75720.35271.45420.340
(10, 100)0.5100.68199.82197.13899.87498.44595.28019.72295.98619.721
595.10994.25691.77494.27293.03191.12420.24791.92920.243
2094.22693.33790.91693.34692.14990.44520.37291.30220.368
(100, 100)0.5101.020100.16197.492100.21498.79595.63319.72296.33919.721
595.48894.63292.17194.64793.42491.51020.24792.31920.244
2094.61493.72091.32293.72892.55190.83820.37291.70120.369
Type 2-2 (2-2-1)
(10, 10)0.576.76175.97974.39476.02675.74572.27920.23472.97320.225
571.04770.27468.80570.31370.02467.59520.74868.29120.739
2069.48268.71367.25568.75368.43566.27420.86866.96020.860
(10, 100)0.595.50694.65492.14094.67393.38991.46620.24892.25820.246
592.11990.90585.32990.90787.24388.70020.77189.85120.767
2091.24989.71282.23189.73083.97187.81620.89189.20220.888
(100, 100)0.595.88495.03092.53695.04893.78091.85320.24992.64720.246
592.53891.28785.38991.29187.27988.82220.77190.28020.768
2091.68190.05782.26490.08383.99088.19420.89189.64220.888

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