Mathematical Problems in Engineering / 2017 / Article / Tab 14

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 14

First six frequency parameters Ω of the functionally graded spherical shells with different boundary conditions.

Mode numberBoundary condition
CCCSCFSFCE1SE3E1E1E2E2E3E3

112.29311.7271.74331.44326.553111.9705.622610.03612.242
212.29311.7271.74331.44326.553111.9706.319710.83812.242
312.55211.9182.79862.27957.237012.2336.319910.83812.488
412.55211.9182.79862.27958.252912.2337.691112.06012.488
513.31612.8553.09603.05098.252912.9927.691212.06013.286
613.31612.8553.09603.051010.39312.9928.663812.14113.286

112.28411.7601.74061.42466.548112.0025.620410.03212.238
212.28411.7601.74061.42466.548112.0026.314510.83312.238
312.53911.9462.79742.23967.233112.2516.314510.83312.481
412.53911.9462.79742.23968.245212.2517.683512.05512.481
513.31012.8993.08963.04398.245213.0327.683512.05513.285
613.31012.8993.08963.043910.38113.0328.663312.13213.285

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