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

01.511.066020.81649668.60977E − 05
102.0184418.2796260.6022035−7.341455
202.3610961.3242630.3354649−10.9858
302.498125−6.2974890.03951085−9.098105
402.417592−10.74771−0.2598841−2.629244
502.126513−9.78573−0.53664585.163152
601.650237−3.896276−0.766671210.3552
701.0302423.954753−0.929927510.33263
800.32052419.813907−1.0121975.107155
90−0.417108110.73098−1.006314−2.68967
100−1.1184146.244486−0.9127917−9.131646
110−1.722318−1.38609−0.739775−10.97505
120−2.176226−8.318236−0.5023316−7.291935
130−2.440607−11.06137−0.22114030.06275124
140−2.492436−8.2344570.079309947.385382
150−2.3272−1.2613250.37285310.9887
160−1.9592896.3465040.63392449.058519
170−1.42074410.758120.83978742.567106
180−0.75846759.7522950.9725135−5.216549
190−0.030136613.8358331.020544−10.37296
2000.7008187−4.0117650.9796954−10.30583
2101.37074−9.838780.8535257−5.049277
2201.921283−10.711190.65302282.749476
2302.304503−6.1900030.39564849.163264
2402.4870251.447830.103817210.96256
2502.4529528.356145−0.19705547.24163
2602.20525211.05635−0.4807664−0.1255394
2701.7654998.189053−0.7226074−7.429035
2801.1719881.198392−0.9015169−10.99124
2900.4764102−6.395274−1.001913−9.018668
300−0.2606581−10.76818−1.015054−2.504935