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 .

MethodMode numbers
123456789

0Ref [52]61.0294.82153.13241.39275.83291.45355.14450.76511.92
Ref [8]61.0694.92153.11241.75276.37291.94355.07450.82512.48
Present61.0294.82153.12241.60276.22291.64355.09450.72512.31
0.6Ref [52]59.2493.14148.51234.79267.06287.85343.22443.06495.89
Ref [8]59.1393.03148.14234.60266.97287.63342.38442.09495.31
Present59.0992.93148.15234.45266.83287.34342.39441.99495.15
1Ref [52]58.9692.65147.94233.64265.86286.16342.08440.72493.67
Ref [8]58.8292.48147.49233.31265.61285.77341.04439.49492.80
Present58.7892.38147.50233.16265.47285.48341.05439.39492.63
5Ref [52]60.0991.69152.02236.75272.42279.34354.89436.34505.35
Ref [8]59.9691.54151.57236.42272.19279.06353.83435.18504.56
Present59.9291.44151.59236.29272.04278.78353.84435.09504.37
20Ref [52]59.1990.29149.49233.27268.37275.23348.80429.63497.87
Ref [8]59.1690.30149.29233.32268.57275.41348.32429.19497.87
Present59.1290.20149.30233.20268.43275.13348.33429.10497.69
50Ref [52]58.2089.55146.55229.79263.58273.98341.04425.83489.06
Ref [8]58.2189.60146.45230.00263.95274.32340.79425.66489.36
Present58.1789.51146.46229.87263.81274.04340.80425.57489.19

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