Mathematical Problems in Engineering / 2017 / Article / Tab 7

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 7

Comparisons of frequencies (Hz) of the functionally graded spherical panels with different power-law index .

MethodMode number
123456789

0.6Ref [2]71.1294.44147.32173.88237.31315.92407.09412.60442.60
Ref [10]71.0194.37147.25173.87237.25315.55406.65412.62441.76
Present71.0994.36147.37174.05237.21315.66406.80412.48441.77
1Ref [2]70.7894.02146.63173.14236.17314.53405.19410.79440.35
Ref [10]70.6393.89146.47173.02235.96313.96404.50410.55439.17
Present70.7193.88146.59173.21235.91314.09404.67410.40439.17
5Ref [2]71.6896.03148.75177.58237.24321.15409.51420.41435.62
Ref [10]71.5495.89148.59177.46237.03320.58408.82420.09434.56
Present71.6295.88148.69177.67237.00320.69408.99420.00434.54
20Ref [2]70.5994.55146.50174.82233.56316.21403.23413.98428.88
Ref [10]70.5794.57146.59175.00233.75316.16403.21414.32428.53
Present70.6494.56146.69175.20233.71316.28403.37414.24428.51
50Ref [2]69.5492.95144.28171.59230.57310.83397.57406.64425.16
Ref [10]69.5793.01144.45171.87230.90310.98397.80407.27425.06
Present69.6492.98144.56172.07230.86311.10397.96407.60425.06

0.6Ref [2]70.5993.62146.22172.31235.55313.20403.88409.05439.88
Ref [10]70.8193.98146.83173.10236.58314.28405.31410.95441.00
Present70.8993.97146.96173.29236.55314.41405.48410.80441.02
1Ref [2]70.1292.99145.26171.15233.94311.11401.15406.32436.81
Ref [10]70.3993.41145.95172.05235.11312.37402.82408.46438.20
Present70.4893.40146.08172.21235.08312.48402.97408.30438.21
5Ref [2]71.0495.02147.45175.58235.02317.81405.72416.02432.13
Ref [10]71.3095.41148.12176.44236.12318.99407.26417.98433.45
Present71.3895.45148.23176.64236.10319.11407.43418.05433.45
20Ref [2]70.3394.13145.98174.00232.64314.84401.67412.16427.43
Ref [10]70.4794.36146.40174.57233.35315.49402.55413.44428.05
Present70.5594.37146.50174.77233.33315.61402.71413.34428.03
50Ref [2]69.4392.74144.04171.22230.16310.22396.86405.84424.51
Ref [10]69.5492.94144.41171.73230.79310.77397.61407.00424.96
Present69.6092.91144.48171.87230.69310.81397.66406.77424.84

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