 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A.N. Sirotin, "On the Differential Equation for the Square Modulus of the Extremal Angular Velocity Vector in the Least-Energy Reorientation Problem for a Circular Top," Mech. Solids. 53 (S1), 39-48 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S1 |
Pages |
39-48 |
| DOI |
10.3103/S0025654418030147 |
| Title |
On the Differential Equation for the Square Modulus of the Extremal Angular Velocity Vector in the Least-Energy Reorientation Problem for a Circular Top |
| Author(s) |
A.N. Sirotin (Moscow Aviation Institute (National Research University), Moscow, 125993 Russia, asirotin2@yandex.ru) |
| Abstract |
We investigate the optimal control problem for the reorientation of a perfectly rigid circular
top. For the criterion of the maneuver’s efficiency, we take the integral-square functional characterizing the total energy consumption. The control is the principal momentum of the applied external
forces. In this problem, we obtain (for the first time) a scalar nonlinear differential equation such that
its solution characterizes the second power of the absolute value of the extremal angular velocity vector. For polynomials depending on time, the family of solutions of the equation is considered. Numerical examples are provided. |
| Received |
08 May 2017 |
| Link to Fulltext |
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