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Wyświetlanie 1-2 z 2
Tytuł:
Solutions for conservative nonlinear oscillators using an approximate method based on Chebyshev series expansion of the restoring force
Autorzy:
Beléndez, A.
Hernández, A.
Beléndez, T.
Pascual, C.
Alvarez, M.
Arribas, E.
Powiązania:
https://bibliotekanauki.pl/articles/1075577.pdf
Data publikacji:
2016-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Hq
02.30.Mv
05.45.-a
Opis:
Approximate solutions for small and large amplitude oscillations of conservative systems with odd nonlinearity are obtained using a "cubication" method. In this procedure, the Chebyshev polynomial expansion is used to replace the nonlinear function by a third-order polynomial equation. The original second-order differential equation, which governs the dynamics of the system, is replaced by the Duffing equation, whose exact frequency and solution are expressed in terms of the complete elliptic integral of the first kind and the Jacobi elliptic function cn, respectively. Then, the exact solution for the Duffing equation is the approximate solution for the original nonlinear differential equation. The coefficients for the linear and cubic terms of the approximate Duffing equation - obtained by "cubication" of the original second-order differential equation - depend on the initial oscillation amplitude. Six examples of different types of common conservative nonlinear oscillators are analysed to illustrate this scheme. The results obtained using the cubication method are compared with those obtained using other approximate methods such as the harmonic, linearized and rational balance methods as well as the homotopy perturbation method. Comparison of the approximate frequencies and solutions with the exact ones shows good agreement.
Źródło:
Acta Physica Polonica A; 2016, 130, 3; 667-678
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Basin-Wide Maritime Awareness From Multi-Source Ship Reporting Data
Autorzy:
Greidanus, H.
Alvarez, M.
Eriksen, T. K.
Argentieri, P.
Cokacar, T.
Pesaresi, A.
Falchetti, S.
Nappo, D.
Mazzarella, F.
Alessandrini, A.
Powiązania:
https://bibliotekanauki.pl/articles/116214.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
marine traffic
Ship Reporting
Maritime Situational Picture
Opis:
A system was set up to ingest automatic ship position reports (terrestrial and satellite AIS, LRIT) and fuse these into a Maritime Situational Picture, tracking the ships within an ocean basin‐wide area of interest in real time. Trial runs were made over several months, collecting reporting data from a number of different sources, over the Gulf of Aden and the Western Indian Ocean. Also satellite radar surveillance was carried out in order to sample the presence of non‐reporting ships. The trial showed that satellite AIS is a powerful tool for basin‐wide ship traffic monitoring; that multiple AIS satellites are needed for sufficient completeness and update rate; and that coastal AIS and LRIT still provide essential complements to the satellite AIS data. The radar survey showed that about half of the radar‐detected ships are not seen in the reporting data. The ultimate purpose of this work is to support the countries around the Horn of Africa in the fight against piracy and to help build their capacity to deliver maritime security and safety.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2013, 7, 2; 185-192
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-2 z 2

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