Shock and Vibration / 2017 / Article / Tab 15

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 15

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

(KW, KG)Boundary conditions
CCCCSDSDCFCCSCCE1E1E2CE2E1E1E1E2E2E2E3E3E3

Type 1-1 (2-2-1)
(10, 10)0.549.06735.09315.39739.72921.50147.29016.59845.63016.459
538.62927.66112.88831.18920.26137.84516.85737.11616.730
2036.77426.47312.54129.77220.05836.12616.90235.52216.779
(10, 100)0.561.88050.83227.16454.44525.23160.31116.69558.83216.695
555.30847.42726.21649.94324.80154.62317.34653.97817.345
2054.34847.09926.16149.40424.81553.78317.49753.25117.497
(100, 100)0.562.41151.46728.36655.04026.53660.85516.69559.38816.695
555.95648.17127.58350.65226.19455.27917.34654.64217.345
2055.02347.86627.56350.13525.91154.46517.49753.93917.497
Type 1-2 (2-2-1)
(10, 10)0.548.27336.21516.39940.32922.26846.82317.55545.44417.418
538.18728.86814.07532.35321.06537.57117.80936.98117.690
2033.68525.89812.88828.60120.24133.29917.56632.93017.463
(10, 100)0.562.58253.28428.60355.93025.79261.35917.55760.18917.557
556.71050.59927.83542.89623.94856.23018.02955.76718.029
2054.21149.20127.30938.46123.21353.91918.03553.63718.035
(100, 100)0.563.18453.97529.90256.09325.79261.97217.55760.81317.557
557.45251.41029.32542.89723.94856.97818.02956.52018.029
2055.00750.05828.86938.46123.21354.71918.03554.44018.035
Type 2-1 (2-2-1)
(10, 10)0.545.08532.20714.40136.41621.07343.76216.77942.54216.642
540.91429.47613.58633.16920.75040.00817.07339.18016.942
2040.37829.20313.54032.81320.75339.52817.16138.75017.031
(10, 100)0.559.24849.41126.79552.53325.07958.09016.98057.01416.978
556.87548.48126.70050.99225.15656.10217.40455.39217.400
2056.66648.51326.77450.87325.23855.94617.50155.28617.497
(100, 100)0.559.82250.08528.06153.16826.44458.67516.98057.61016.978
557.50849.24628.05051.66226.02956.74417.40456.04217.400
2057.31149.20528.14151.53625.82856.59917.50155.94717.497
Type 2-2 (2-2-1)
(10, 10)0.541.27629.75913.69033.48920.81340.34317.09139.48916.959
539.49229.10213.70232.50720.91938.75117.48638.06617.359
2039.07529.01413.74532.33720.94938.37517.57837.72317.454
(10, 100)0.557.14448.67226.77051.22325.19856.34717.40555.61317.402
556.67149.19927.21549.83925.07456.06617.79255.50517.788
2056.60349.07627.34648.22724.78956.03817.87055.51317.867
(100, 100)0.557.77549.39528.11751.89326.03356.98717.40556.26217.402
557.35449.95628.63150.04025.07656.75617.79356.20217.789
2057.30049.09628.78048.29524.79156.74217.87156.22417.867

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