Shock and Vibration / 2017 / Article / Tab 5

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 5

Fundamental frequency parameter Ω for Type 1-1 annular sector plate with various boundary conditions ( = 0.5, = 0.2, , and = 120°).

SchemeBoundary conditions
CCCCCSDCSDCFCFSSSSCE1E1E1E2SE2SE1E1E1E1E2E2E2E2E3E3E3E3

1-0-10.583.74282.84281.11855.34934.04777.25119.65577.93419.545
557.99557.39156.21636.93828.43655.62320.46156.13120.360
2052.50551.93350.85235.16227.74750.69820.55751.17820.462
1-1-10.587.60586.66184.85458.11234.92480.21019.39380.91119.284
568.13067.45066.06241.72529.79764.33819.96664.90319.857
2064.14163.50562.19939.00629.01260.93620.07961.47019.972
2-2-10.588.64487.68585.85559.03335.22681.02119.34581.72719.236
571.26470.54969.10045.06630.50066.98819.88667.58319.777
2067.60066.92865.55543.30629.72663.90819.99964.47619.891
1-2-10.589.85788.88387.02459.99435.53681.93519.26882.64519.160
574.87174.11272.58546.57831.23669.93519.72370.55019.614
2071.36270.64869.19243.81530.39567.02819.81567.61519.706
1-8-10.594.45593.41491.44364.30136.96485.46219.04486.18818.944
588.81687.86386.03258.66435.09081.07219.25381.77619.145
2087.42486.49284.69457.33234.65279.98119.30080.67819.191

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