Mathematical Problems in Engineering / 2017 / Article / Tab 5

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 5

Comparison of the first nine frequencies (Hz) of the functionally graded conical panels with different power-law index .

MethodMode number
123456789

0.6Ref [3]80.10110.93158.60195.20259.10273.52321.39360.77396.83
Ref [10]80.15111.03158.61195.49259.31273.52321.38361.16397.06
Present80.14110.95158.62195.57259.18273.62321.42361.38397.12
1Ref [3]79.89110.56158.15194.72258.36272.88320.38359.84395.97
Ref [10]79.91110.62158.10194.94258.48272.82320.28360.10396.11
Present79.91110.54158.11195.02258.36272.91320.31360.33396.18
5Ref [3]78.92108.45156.07192.86254.58270.76315.52356.30393.68
Ref [10]78.86108.39155.87192.87254.45270.51315.12356.20393.55
Present78.86108.31155.88192.95254.33270.60315.16356.42393.62
20Ref [3]77.81106.72153.93190.43250.80267.51311.11351.98389.27
Ref [10]77.83106.78153.90190.65250.92267.46311.03352.24389.42
Present77.83106.70153.91190.73250.80267.56311.07352.46389.48
50Ref [3]76.57105.58151.56187.03247.32262.39306.75345.73381.29
Ref [10]76.63105.69151.60187.34247.57262.43306.81346.17381.56
Present76.63105.62151.61187.43247.45262.53306.85346.39381.63

0.6Ref [3]79.87110.71158.27194.75258.47272.88320.85360.10395.93
Ref [10]80.03110.96158.48195.29258.99273.14321.24360.94396.49
Present80.03110.88158.49195.37258.86273.23321.27361.16396.56
1Ref [3]79.54110.22157.64194.02257.39271.89319.56358.81394.58
Ref [10]79.73110.51157.90194.63257.99272.21320.05359.76395.23
Present79.73110.43157.91194.71257.86272.31320.08359.98395.30
5Ref [3]78.23107.82155.00191.47252.65268.67313.79354.27390.76
Ref [10]78.49108.21155.40192.25253.46269.17314.54355.53391.65
Present78.49108.13155.41192.33253.34269.26314.58355.75391.71
20Ref [3]77.49106.44153.43189.81249.93266.54310.31351.07387.92
Ref [10]77.67106.70153.67190.37250.47266.83310.75351.94388.52
Present77.66106.63153.68190.45250.35266.92310.78352.16388.59
50Ref [3]76.43105.46151.35186.76246.94261.96306.41345.34380.70
Ref [10]76.56105.66151.50187.22247.36262.15306.69346.04381.16
Present76.56105.59151.52187.30247.25262.25306.73346.26381.24

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