Research Article
New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency
Table 2
The numerical solutions
, , and their derivatives.
| t | | | | |
| 0 | 1.5 | 11.06602 | 0.8164966 | 8.60977E − 05 | 10 | 2.018441 | 8.279626 | 0.6022035 | −7.341455 | 20 | 2.361096 | 1.324263 | 0.3354649 | −10.9858 | 30 | 2.498125 | −6.297489 | 0.03951085 | −9.098105 | 40 | 2.417592 | −10.74771 | −0.2598841 | −2.629244 | 50 | 2.126513 | −9.78573 | −0.5366458 | 5.163152 | 60 | 1.650237 | −3.896276 | −0.7666712 | 10.3552 | 70 | 1.030242 | 3.954753 | −0.9299275 | 10.33263 | 80 | 0.3205241 | 9.813907 | −1.012197 | 5.107155 | 90 | −0.4171081 | 10.73098 | −1.006314 | −2.68967 | 100 | −1.118414 | 6.244486 | −0.9127917 | −9.131646 | 110 | −1.722318 | −1.38609 | −0.739775 | −10.97505 | 120 | −2.176226 | −8.318236 | −0.5023316 | −7.291935 | 130 | −2.440607 | −11.06137 | −0.2211403 | 0.06275124 | 140 | −2.492436 | −8.234457 | 0.07930994 | 7.385382 | 150 | −2.3272 | −1.261325 | 0.372853 | 10.9887 | 160 | −1.959289 | 6.346504 | 0.6339244 | 9.058519 | 170 | −1.420744 | 10.75812 | 0.8397874 | 2.567106 | 180 | −0.7584675 | 9.752295 | 0.9725135 | −5.216549 | 190 | −0.03013661 | 3.835833 | 1.020544 | −10.37296 | 200 | 0.7008187 | −4.011765 | 0.9796954 | −10.30583 | 210 | 1.37074 | −9.83878 | 0.8535257 | −5.049277 | 220 | 1.921283 | −10.71119 | 0.6530228 | 2.749476 | 230 | 2.304503 | −6.190003 | 0.3956484 | 9.163264 | 240 | 2.487025 | 1.44783 | 0.1038172 | 10.96256 | 250 | 2.452952 | 8.356145 | −0.1970554 | 7.24163 | 260 | 2.205252 | 11.05635 | −0.4807664 | −0.1255394 | 270 | 1.765499 | 8.189053 | −0.7226074 | −7.429035 | 280 | 1.171988 | 1.198392 | −0.9015169 | −10.99124 | 290 | 0.4764102 | −6.395274 | −1.001913 | −9.018668 | 300 | −0.2606581 | −10.76818 | −1.015054 | −2.504935 |
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