Research Article
Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints
Table 7
Nondimensional frequency parameter Ω of porous rectangular plates with different aspect ratios (CCCC) (e = 0.2 and h/b = 0.2).
| Type | Mode no. | Aspect ratio a/b | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 |
| I | 1 | 0.6238 | 0.3112 | 0.2455 | 0.2258 | 0.2181 | 0.2144 | 0.2124 | 2 | 0.7756 | 0.5429 | 0.3558 | 0.2841 | 0.2522 | 0.2362 | 0.2274 | 3 | 0.9708 | 0.5429 | 0.5002 | 0.3811 | 0.3130 | 0.2763 | 0.2551 | 4 | 1.0097 | 0.7207 | 0.5186 | 0.4855 | 0.3971 | 0.3346 | 0.2967 | 5 | 1.1906 | 0.7207 | 0.5559 | 0.4867 | 0.4493 | 0.4081 | 0.3511 |
| II | 1 | 0.6292 | 0.3160 | 0.2496 | 0.2296 | 0.2218 | 0.2180 | 0.2160 | 2 | 0.7823 | 0.5493 | 0.3612 | 0.2887 | 0.2564 | 0.2402 | 0.2312 | 3 | 0.9709 | 0.5493 | 0.5063 | 0.3869 | 0.3181 | 0.2809 | 0.2594 | 4 | 1.0178 | 0.7208 | 0.5254 | 0.4855 | 0.4032 | 0.3400 | 0.3016 | 5 | 1.1977 | 0.7208 | 0.5559 | 0.4926 | 0.4493 | 0.4144 | 0.3568 |
| III | 1 | 0.6220 | 0.3101 | 0.2446 | 0.2249 | 0.2172 | 0.2136 | 0.2115 | 2 | 0.7735 | 0.5412 | 0.3545 | 0.2830 | 0.2512 | 0.2353 | 0.2265 | 3 | 0.9695 | 0.5412 | 0.4986 | 0.3796 | 0.3118 | 0.2752 | 0.2541 | 4 | 1.0071 | 0.7197 | 0.5169 | 0.4848 | 0.3956 | 0.3333 | 0.2955 | 5 | 1.1882 | 0.7197 | 0.5551 | 0.4851 | 0.4487 | 0.4066 | 0.3498 |
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