MOTION OF AN AXISYMMETRIC RIGID BODY WITH VARIABLE INERTIA MOMENTS | ||
| The International Conference on Applied Mechanics and Mechanical Engineering | ||
| Article 78, Volume 16, 16th International Conference on Applied Mechanics and Mechanical Engineering., May 2014, Pages 1-8 PDF (127.89 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/amme.2014.35757 | ||
| Authors | ||
| A. N. Tyurekhojaev1; G. U. Mamatova2 | ||
| 1Prof. Dr., Institute of Industrial Engineering, Kazakh National Technical University after K.Satpaev, Almaty, the Republic of Kazakhstan. | ||
| 2Associate prof., Institute of Industrial Engineering, Kazakh National Technical University after K.Satpaev, Almaty, the Republic of Kazakhstan. | ||
| Abstract | ||
| ABSTRACT The problem of the motion of a rigid body with fixed point is one of the urgent problems of classical mechanics. The peculiarity of this problem is that, despite the important results achieved by outstanding mathematicians during more than the last two centuries, there is still no complete solution. In this paper, an analytical solution of the problem of motion of an axially symmetrical rigid body with variable inertia moments in resistant medium described by a system of nonlinear differential L. Euler equations, involving the method of partial discretization of nonlinear differential equations, built by A.N. Tyurekhodjaev on the basis of the theory of generalized functions [1]. | ||
| Keywords | ||
| Symmetrical rigid body; spherical motion; variable moment of inertia; medium with resistance | ||
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