Solving the problem of moving a solid body around a fixed point in a resisting medium

G. U. Mamatova, B. Hamzina, A. О. Kabdoldina, А. K. Sugirbekova, R. A. Berkutbaeva
2020 Vibroengineering PROCEDIA  
In this paper, we consider the problem of motion of an axisymmetric solid around a fixed point in a resistive medium, described by nonlinear dynamic Euler equations. An analytical solution to the problem when the moments of external resistance forces are proportional to the corresponding projections of the angular velocity of the body is obtained by partial discretization of nonlinear differential equations based on the theory of generalized functions. Curves of angular velocity change are
more » ... ity change are constructed and graphs of comparison of these curves with previously known exact solutions are given.
doi:10.21595/vp.2020.21453 fatcat:dsjuqrbbqrb4rhehwo627gzyka