Linearization of the ship equations of motion

• Autorzy: Mielewczyk A.
• Języki publikacji: EN

Abstrakty

EN

In real systems are non-linear mathematical description. The exact solution can not be determined, and then look for approximate methods. Important is the type of nonlinearity, solutions and error method approximation. Linearization is an essential part of creating a model of the selected process. Ship resistance is a function of power with exponent two and higher. Model motion of the ship must have a solution in terms of maneuverability speed and speed of the sea. The solution must be well reproduce the actual path of the transition and the transition time of the ship. Nonlinear solution method determines the accuracy of the answers. Has presented the revised approach to solve the nonlinear differential equation of parabolic function. Linearization has been made in the selected range, and not where you want it to work and solve the error estimate. Range of solutions selected by external priorities adopted. Before the solution is estimated response error. The error value determines whether the selected interval will apply. If the problem solution is unacceptable, it will increase the accuracy of the result of the narrow scope of the work. The new scope of work should also be reassessed a solution error. This type of approach correlates with fuzzy logic, where we use the value of the Boolean variable with the function of belonging. The combination of classical methods of solving differential equations of the theory of fuzzy sets can bring new benefits. Such a solution must have the function of the accuracy of the answers. The linearization method meets this requirement.

Słowa kluczowe

EN

transport; mechanical engineering; Maritime Engineering; nonlinear differential equations; linearization; resistance of hull; error solutions

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2013
• Tom: Vol. 20, No. 2
• Strony: 269--275
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Mielewczyk A.

• Gdynia Maritime University, Faculty of Marine Engineering Morska Street 81-87, 81-225 Gdynia, Poland tel.:[phone], fax: [phone]

Bibliografia

• [1] Dudziak, T., Teoria okrętu, WDG Drukarnia w Gdyni, 2008.
• [2] Jordan, A., Nowacki, J. P., Global Linearization of Non-Linear State Equations. International Journal of Applied Electromagnetics and Mechanics, Vol. 19, No. 4, pp. 637-642, 2004.
• [3] Kaczorek, T., Teoria sterowania i systemów, Wydawnictwo Naukowe PWN, Warszawa 1999.
• [4] Kaczorek, T., Dzieliński, A., Dąbrowski, W., Łopatka, R., Podstawy Teorii Sterowania, WNT, Warszawa 2005.
• [5] Kowal, J., Podstawy automatyki T1, Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH, Kraków 2004.