 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| A.V. Chernyshov and S.A. Chernyshova, "Improving the Phase Plane Method to Study the Influence of the "Bifurcation Memory" Effect on Ship Dynamics," Mech. Solids. 59 (1), 85-92 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
85-92 |
| DOI |
10.1134/S0025654423600691 |
| Title |
Improving the Phase Plane Method to Study the Influence of the "Bifurcation Memory" Effect on Ship Dynamics |
| Author(s) |
A.V. Chernyshov (Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, 603155 Russia, andrey.chernyshov5@gmail.com)
S.A. Chernyshova (Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, 603155 Russia, sofya.chernyshova99@gmail.com) |
| Abstract |
The study of the “bifurcation memory” effect plays an important role in the study of
dynamic features of real systems. Practical interest lies in studying the possibility of predicting a temporary decrease in response to control, which can significantly improve navigation safety. The effect
of “bifurcation memory” is a temporary decrease in the phase velocity of the imaging point when passing through a certain area (“phase spot”) on the phase plane. A “phase spot” appears near the equilibrium state that disappeared during bifurcation. Over the almost half-century history of studying this
dynamic feature, very few methods have been proposed that make it possible to unambiguously and
with sufficient accuracy identify the “bifurcation memory” effect. This article proposes an improved
phase plane method, which consists in constructing a phase velocity hodograph. A distinctive feature
of the proposed method is not only that it surpasses previously developed methods in accuracy, but
also covers both phase coordinates, and also gives an adequate result for any initial conditions. The
method is quite universal and can be used to study the effect of “bifurcation memory” in various
dynamic systems. Information about the boundary values of the parameter - the rudder angle, at which
the effect of “bifurcation memory” begins (ends) to manifest itself can be used, for example, in the
problem of optimizing the design of the hull and rudders or when creating control algorithms. |
| Keywords |
bifurcation memory, phase spot, phase plane method, phase velocity hodograph |
| Received |
27 February 2023 | Revised |
24 April 2023 | Accepted |
27 April 2023 |
| Link to Fulltext |
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