| Autor: |
Ershkov, Sergey V., Leshchenko, Dmytro, Giniyatullin, Ayrat R. |
| Předmět: |
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| Zdroj: |
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Jan2021, Vol. 31 Issue 1, pN.PAG-N.PAG, 12p |
| Abstrakt: |
We present a new solving procedure in this paper for Kelvin–Kirchhoff equations, considering the dynamics of a falling rigid rotating torus in an ideal incompressible fluid, assuming additionally the dynamical symmetry of rotation for the rotating body, I 1 = I 2 . The fundamental law of angular momentum conservation is used for the aforementioned solving procedure. The system of Euler equations for the dynamics of torus rotation is explored for an analytic way of presentation of the approximated solution (where we consider the case of laminar flow at slow regime of torus rotation). The second finding is that the Stokes boundary layer phenomenon on the boundaries of the torus also assumed additionally at the formulation of basic Kelvin–Kirchhoff equations (for which the analytical expressions for the components of fluid's torque vector { T 2 , T 3 } were obtained earlier). The results for calculating the components of angular velocity { Ω i } should then be used for full solving the momentum equation of Kelvin–Kirchhoff system. The trajectories of motion can be divided into, preferably, three classes: zigzagging, helical spiral motion, and the chaotic regime of oscillations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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