Mathematical Problems in Engineering / 2017 / Article / Tab 6

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 6

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

MethodMode number
12345678

0.6Ref [1]208.92208.92230.11230.11284.73284.74321.51321.51
Ref [29]208.75208.75229.96229.96284.60284.60321.33321.33
Ref [11]208.58208.58230.06230.06284.67284.67321.28321.28
Present208.78208.78230.06230.06284.92284.92321.32321.32
5Ref [1]204.81204.81223.84223.84275.52275.53316.64316.64
Ref [29]204.25204.25223.36223.36275.02275.02315.94315.94
Ref [11]203.36203.36223.72223.72275.26275.26315.48315.48
Present204.28204.28223.46223.46275.35275.35315.93315.93
20Ref [1]204.89204.89227.33227.33282.68282.69312.50312.50
Ref [29]204.27204.27226.78226.78282.10282.10311.71311.71
Ref [11]203.29203.29227.17227.17282.35282.35311.15311.15
Present204.30204.30226.88226.88282.42282.42311.71311.71

0.6Ref [1]208.49208.49229.65229.65284.17284.17321.18321.18
Ref [29]208.54208.54229.70229.70284.25284.25321.30321.30
Ref [11]208.74208.74229.61229.61284.21284.21321.33321.33
Present208.57208.57229.80229.80284.58284.58321.30321.30
5Ref [1]202.87202.87221.78221.78273.02273.02315.18315.18
Ref [29]203.30203.30222.16222.16273.47273.47315.81315.81
Ref [11]204.15204.15221.67221.67273.14273.14315.72315.72
Present203.34203.34222.26222.26273.80273.80315.81315.81
20Ref [1]202.60202.60224.87224.87279.65279.66310.83310.83
Ref [29]203.09203.09225.30225.30280.17280.17311.53311.53
Ref [11]203.98203.98224.73224.73279.80279.80311.39311.39
Present203.12203.12225.40225.40280.49280.49311.53311.53

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