Shock and Vibration / 2017 / Article / Tab 2

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 2

Convergence of frequency parameters for clamped annular sector plate and circular sector plate (, = 120°, = 0.2, and ).

Mode number
12348101216

Annular sector plate: Type 1-1 (2-2-1)
4 × 493.796103.03120.55187.65245.38294.84351.42379.08
5 × 593.758102.74119.84146.16238.17267.17332.81376.02
6 × 693.680102.66119.30144.14238.15266.69295.52373.65
7 × 793.674102.60119.23143.62229.48244.89294.36351.15
8 × 893.656102.58119.10143.44229.47244.72266.02351.11
9 × 993.655102.56119.08143.29229.43244.68265.83326.85
10 × 1093.649102.55119.04143.25229.42244.61265.81326.66
12 × 1293.646102.54119.00143.17229.40244.56265.73326.36
14 × 1493.645102.53118.99143.14229.40244.53265.69326.25
16 × 1693.644102.53118.99143.13229.39244.52265.67326.19
18 × 1893.644102.53118.99143.13229.39244.51265.66326.16
Circular sector plate: Type 1-1 (2-2-1)
4 × 441.67968.05491.458100.58184.45221.56243.92302.38
5 × 541.61767.66591.38699.181171.33201.68221.52257.70
6 × 641.58567.57591.11498.546169.74184.82214.70249.33
7 × 741.57467.49691.10198.424168.53184.81212.39243.85
8 × 841.56567.47791.04098.282167.86184.81208.42243.85
9 × 941.56267.45291.03798.255167.61184.81207.67243.85
10 × 1041.55967.44791.01798.208167.40184.80207.22243.85
12 × 1241.55767.43591.00798.179167.24184.80206.88243.84
14 × 1441.55667.43091.00398.167167.18184.80206.75243.84
16 × 1641.55567.42791.00198.160167.15184.80206.69243.84
18 × 1841.55567.42691.00198.159167.15184.80206.66243.84

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