Research Article
Time Period of the Vibration of the Circular Plate with Circular Variation Both in Thickness and Density
Table 1
Time period
of clamped and simply supported circular plates vs. tapering parameter
.
| | | | | | | | | | |
| Clamped | 0.0 | 0.039 83 | 0.098 67 | 0.291 13 | 0.045 83 | 0.103 51 | 0.308 45 | 0.2 | 0.040 40 | 0.106 16 | 0.314 57 | 0.047 03 | 0.111 64 | 0.332 60 | 0.4 | 0.040 80 | 0.114 16 | 0.343 00 | 0.047 97 | 0.120 81 | 0.361 94 | 0.6 | 0.041 03 | 0.122 23 | 0.377 53 | 0.048 63 | 0.130 56 | 0.397 82 | 0.8 | 0.041 11 | 0.129 78 | 0.418 08 | 0.049 02 | 0.140 17 | 0.440 80 |
| Simply supported | 0.0 | 0.041 07 | 0.110 52 | 0.441 02 | 0.040 24 | 0.121 79 | 0.463 17 | 0.2 | 0.045 79 | 0.115 31 | 0.464 45 | 0.045 67 | 0.126 09 | 0.487 83 | 0.4 | 0.050 91 | 0.122 15 | 0.490 88 | 0.052 04 | 0.131 82 | 0.515 35 | 0.6 | 0.055 95 | 0.132 37 | 0.521 69 | 0.059 08 | 0.140 33 | 0.546 92 | 0.8 | 0.060 25 | 0.147 54 | 0.560 30 | 0.066 05 | 0.153 70 | 0.585 19 |
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