Research Article
Time Period Analysis of Orthotropic Skew Plate with 2-D Circular Thickness and 1-D Circular Density
Table 1
Time period of the orthotropic parallelogram plate at
, and
edge conditions corresponding to both tapering parameters
and
.
| | | = 0.2, = 0.4 | = 0.0 | = 0.2 | = 0.4 | = 0.6 | = 0.8 | = 1.0 | | | | | | | | | | | | |
| CCCC | 0.0 | 0.16309 | 0.62562 | 0.15807 | 0.60548 | 0.15315 | 0.58591 | 0.14831 | 0.56693 | 0.14362 | 0.54865 | 0.13905 | 0.53102 | 0.2 | 0.15367 | 0.59097 | 0.14909 | 0.57262 | 0.14457 | 0.55471 | 0.14013 | 0.53734 | 0.13581 | 0.52059 | 0.13160 | 0.50445 | 0.4 | 0.14441 | 0.55792 | 0.14022 | 0.54114 | 0.13608 | 0.52474 | 0.13201 | 0.50884 | 0.12803 | 0.49345 | 0.12416 | 0.47862 | 0.6 | 0.13551 | 0.52688 | 0.13167 | 0.51155 | 0.12788 | 0.49650 | 0.12415 | 0.48192 | 0.12049 | 0.46778 | 0.11692 | 0.45412 | 0.8 | 0.12710 | 0.49816 | 0.12358 | 0.48403 | 0.12010 | 0.47020 | 0.11667 | 0.45676 | 0.11330 | 0.44372 | 0.11001 | 0.43109 | 1.0 | 0.11926 | 0.47168 | 0.11603 | 0.45864 | 0.11282 | 0.44586 | 0.10965 | 0.43345 | 0.10654 | 0.42135 | 0.10351 | 0.40966 |
| CCCF | 0.0 | 0.18375 | 0.59876 | .17094 | 0.56505 | 0.15918 | 0.53461 | 0.14848 | 0.50709 | 0.13883 | 0.48205 | 0.13011 | 0.45921 | 0.2 | 0.17587 | 0.56935 | 0.16385 | 0.53834 | 0.15277 | 0.51026 | 0.14266 | 0.48465 | 0.13350 | 0.46128 | 0.12522 | 0.43992 | 0.4 | 0.16788 | 0.54054 | 0.15665 | 0.51218 | 0.14625 | 0.48629 | 0.13673 | 0.46254 | 0.12808 | 0.44083 | 0.12024 | 0.42085 | 0.6 | 0.15993 | 0.51293 | 0.14948 | 0.48695 | 0.13976 | 0.46310 | 0.13082 | 0.44114 | 0.12267 | 0.42094 | 0.11527 | 0.40228 | 0.8 | 0.15215 | 0.48676 | 0.14245 | 0.46295 | 0.13338 | 0.44095 | 0.12501 | 0.42063 | 0.11735 | 0.40181 | 0.11036 | 0.38441 | 1.0 | 0.14465 | 0.46219 | 0.13564 | 0.44033 | 0.12719 | 0.42000 | 0.11936 | 0.40115 | 0.11216 | 0.38365 | 0.10559 | 0.36741 |
| CFCF | 0.0 | 0.36163 | 0.78754 | 0.34906 | 0.74915 | 0.33628 | 0.71107 | 0.32349 | 0.67419 | 0.31091 | 0.63900 | 0.29866 | 0.60589 | 0.2 | 0.34291 | 0.72835 | 0.33134 | 0.69379 | 0.31947 | 0.65955 | 0.30755 | 0.62625 | 0.29574 | 0.59442 | 0.28419 | 0.56439 | 0.4 | 0.32421 | 0.67356 | 0.31352 | 0.64252 | 0.30249 | 0.61164 | 0.29132 | 0.58157 | 0.28022 | 0.55286 | 0.26933 | 0.52565 | 0.6 | 0.30590 | 0.62420 | 0.29599 | 0.59612 | 0.28567 | 0.56819 | 0.27519 | 0.54111 | 0.26474 | 0.51507 | 0.25444 | 0.49040 | 0.8 | 0.28826 | 0.58016 | 0.27902 | 0.55474 | 0.26934 | 0.52945 | 0.25948 | 0.50489 | 0.24959 | 0.48129 | 0.23985 | 0.45892 | 1.0 | 0.27148 | 0.54123 | 0.26282 | 0.51811 | 0.25372 | 0.49512 | 0.24440 | 0.47275 | 0.23504 | 0.45129 | 0.22581 | 0.43090 |
| CSCF | 0.0 | 0.37061 | 0.76699 | 0.35126 | 0.70598 | 0.33276 | 0.65188 | 0.31529 | 0.60416 | 0.29896 | 0.56194 | 0.28379 | 0.52462 | 0.2 | 0.35541 | 0.70202 | 0.33697 | 0.64698 | 0.31925 | 0.59800 | 0.30253 | 0.55471 | 0.28689 | 0.51638 | 0.27234 | 0.48242 | 0.4 | 0.33964 | 0.64252 | 0.32201 | 0.59291 | 0.30508 | 0.54871 | 0.28907 | 0.50950 | 0.27409 | 0.47473 | 0.26014 | 0.44391 | 0.6 | 0.32358 | 0.58971 | 0.30674 | 0.54491 | 0.29051 | 0.50501 | 0.27515 | 0.46948 | 0.26079 | 0.43800 | 0.24743 | 0.41001 | 0.8 | 0.30755 | 0.54353 | 0.29139 | 0.50310 | 0.27581 | 0.46694 | 0.26106 | 0.43480 | 0.24726 | 0.40621 | 0.23445 | 0.38070 | 1.0 | 0.29174 | 0.50354 | 0.27620 | 0.46694 | 0.26121 | 0.43417 | 0.24703 | 0.40492 | 0.23379 | 0.37888 | 0.22149 | 0.35560 |
| SFSF | 0.0 | 0.29229 | 1.6282 | 0.28379 | 1.5506 | 0.27512 | 1.4737 | 0.26640 | 1.3990 | 0.25774 | 1.3275 | 0.24924 | 1.2597 | 0.2 | 0.27132 | 1.5574 | 0.26415 | 1.4821 | 0.25676 | 1.4077 | 0.24927 | 1.3356 | 0.24179 | 1.2666 | 0.23439 | 1.2013 | 0.4 | 0.25116 | 1.4899 | 0.24510 | 1.4165 | 0.23879 | 1.3442 | 0.23236 | 1.2744 | 0.22589 | 1.2078 | 0.21944 | 1.1449 | 0.6 | 0.23233 | 1.4263 | 0.22716 | 1.3545 | 0.22175 | 1.2840 | 0.21619 | 1.2162 | 0.21056 | 1.1517 | 0.20492 | 1.0910 | 0.8 | 0.21506 | 1.3666 | 0.21059 | 1.2962 | 0.20590 | 1.2274 | 0.20106 | 1.1614 | 0.19612 | 1.0989 | 0.19117 | 1.0401 | 1.0 | 0.19938 | 1.3107 | 0.19549 | 1.2416 | 0.19137 | 1.1744 | 0.18711 | 1.1101 | 0.18275 | 1.0493 | 0.17836 | 0.99243 |
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