Rotational dynamics for the spherical body with displaced center of mass
In the article has been considered the theoretical description of the rotational mechanics for the spherical body with displaced center of mass (SBDCM). In terms of the general equations for dynamics of a rigid body the equations of translational and rotational motion for SBDCM was constructed. The...
Збережено в:
| Дата: | 2015 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Ukrainian |
| Опубліковано: |
Journal of Mechanical Engineering
2015
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| Теми: | |
| Онлайн доступ: | https://journals.uran.ua/jme/article/view/51280 |
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| Назва журналу: | Journal of Mechanical Engineering |
Репозитарії
Journal of Mechanical Engineering| Резюме: | In the article has been considered the theoretical description of the rotational mechanics for the spherical body with displaced center of mass (SBDCM). In terms of the general equations for dynamics of a rigid body the equations of translational and rotational motion for SBDCM was constructed. The solution of these equations near turning-over point has been analyzed. In particular, has shown that the parameter x, that describe dependence of rotation frequency on the inclination angle, evolves from the initial value x0 = Сn0 through the oscillations near value x–. When angle increases q, the amplitude of oscillation decreases. Near state q = p the amplitude of oscillation will increase again. The critical rotation frequency, when body turning from stable state to unstable was calculated too. |
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