Research Article
Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection
Table 8
The dependence of the first nondimensional frequency of the FGM beam on
L/h and
, n = 0.2,
= 0.5,
= 5,
= 10
−3, and
r/
L = 1.
| BC | | L/h | 5 | 10 | 20 | 40 | 60 | 80 |
| S-S | 0 | 0.9198 | 0.5099 | 0.3079 | 0.2274 | 0.2089 | 0.2036 | 0.1 | 0.9224 | 0.5113 | 0.3087 | 0.2285 | 0.2105 | 0.2057 | 0.2 | 0.9255 | 0.5130 | 0.3097 | 0.2297 | 0.2124 | 0.2083 | 0.3 | 0.9292 | 0.5150 | 0.3109 | 0.2312 | 0.2146 | 0.2114 | 0.4 | 0.9337 | 0.5174 | 0.3124 | 0.2331 | 0.2175 | 0.2152 | 0.5 | 0.9393 | 0.5205 | 0.3142 | 0.2355 | 0.2210 | 0.2201 | C-C | 0 | 1.8663 | 1.0958 | 0.6052 | 0.3653 | 0.2990 | 0.2722 | 0.1 | 1.8805 | 1.1039 | 0.6094 | 0.3680 | 0.3016 | 0.2751 | 0.2 | 1.8975 | 1.1135 | 0.6145 | 0.3712 | 0.3047 | 0.2785 | 0.3 | 1.9181 | 1.1253 | 0.6207 | 0.3751 | 0.3084 | 0.2826 | 0.4 | 1.9437 | 1.1399 | 0.6283 | 0.3799 | 0.3132 | 0.2878 | 0.5 | 1.9764 | 1.1585 | 0.6382 | 0.3862 | 0.3192 | 0.2945 |
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