Construction and analysis of mathematical models of hydrodynamic forces and moment on the ship's hull using multivariate regression analysis

• Autorzy: Kryvyi O. , Miyusov M. V.

Identyfikatory

DOI

10.12716/1001.15.04.18

• Języki publikacji: EN

Abstrakty

EN

To analyse the existing mathematical models of hydrodynamic forces and moment on the ship's hull and build new effective ones, an approach based on multivariate regression analysis is suggested. As factors (regressors), various dimensionless ratios of the geometric parameters of the vessel, such as length, breadth, draught, and block coefficient, were taken. When analysing existing mathematical models of hydrodynamic derivatives and building new ones, the value of the multiple correlation coefficient R and the value of standard errors were estimated. The significance of the models and the significance of all factors (regressors) included in the model were assessed using Fisher's and Student's criteria. As a result, new adequate mathematical models have been obtained for hydrodynamic constants with a high degree of correlation and an excellent level of significance of regressors.

Słowa kluczowe

EN

mathematical model; hydrodynamic forces; ship's hull; multivariate regression analysis; hydrodynamic moment; fisher's criteria; student's criteria; hydrodynamic characteristics

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2021
• Tom: Vol. 15 No. 4
• Strony: 854--864
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Kryvyi O.

• National University „Odessa Maritime Academy”, Odessa, Ukraine

autor

Miyusov M. V.

• National University „Odessa Maritime Academy”, Odessa, Ukraine

Bibliografia

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• 7. Kryvyi, O.F.: Methods of mathematical modelling in navigation. ONMA, Odessa, Ukraine (2015).
• 8. Kryvyi, O.F., Miyusov, M.V.: Mathematical Model of Hydrodynamic Characteristics on the Ship’s Hull for Any Drift Angles. In: Weintrit, A. and Neumann, T. (eds.) Advances in Marine Navigation and Safety of Sea Transportation. p. 160 CRC Press, London (2019). https://doi.org/10.1201/9780429341939-16.
• 9. Kryvyi, O.F., Miyusov, M.V.: Mathematical model of movement of the vessel with auxiliary wind-propulsors. Shipping & Navigation. 26, 110–119 (2016).
• 10. Kryvyi, O.F., Miyusov, M.V.: Mathematical models of hydrodynamic characteristics of the ship’s propulsion complex for any drift angles. Shipping & Navigation. 28, 110–119 (2018).
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• 12. Kryvyi, O.F., Miyusov, M.V.: The Creation of Polynomial Models of Hydrodynamic Forces on the Hull of the Ship with the help of Multi-factor Regression Analysis. In: 8 International Maritime Science Conference. IMSC 2019. pp. 545–555 , Budva, Montenegro (2019). https://doi.org/10.1201/9780429341939-16.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).