ISSN 2083-6473
ISSN 2083-6481 (electronic version)




Associate Editor
Prof. Tomasz Neumann

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
www http://www.transnav.eu
e-mail transnav@umg.edu.pl
Construction and Analysis of Mathematical Models of Hydrodynamic Forces and Moment on the Ship's Hull Using Multivariate Regression Analysis
ABSTRACT: 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.
Draper, N.R., Smith, H.: Applied Regression Analysis. Wiley (1981).
Furukawa, Y., Ibaragi, H., Nakiri, Y., Kijima, K.: Shallow Water Effects on Longitudinal Components of Hydrodynamic Derivatives. In: Uliczka, K., Böttner, C.-U., Kastens, M., Eloot, K., Delefortrie, G., Vantorre, M., Candries, M., and Lataire, E. (eds.) 4th MASHCON - International Conference on Ship Manoeuvring in Shallow and Confined Water with Special Focus on Ship Bottom Interaction. pp. 295–303 Bundesanstalt für Wasserbau (2016). - doi:10.18451/978-3-939230-38-0_33
Inoue, S., Hirano, M., Kijima, K.: Hydrodynamic derivatives on ship manoeuvring. International Shipbuilding Progress. 28, 321, 112–125 (1981). - doi:10.3233/ISP-1981-2832103
Japan Society of Naval Architects and Ocean Engineers: Report of Research committee on standardization of mathematical model for ship maneuvering predictions (P-29).
Kijima, K., Katsuno, T., Nakiri, Y., Furukawa, Y.: On the manoeuvring performance of a ship with theparameter of loading condition. Journal of the Society of Naval Architects of Japan. 1990, 168, 141–148 (1990). - doi:10.2534/jjasnaoe1968.1990.168_141
Kijima, K., Nakiri, Y.: Prediction Method of Ship Manoeuvrability in Deep and Shallow Waters. Presented at the MARSIM & ICSM 90, Intl. Conference, Marine Simulation and Ship Manoeuvrability , Tokyo, Japan (1990).
Kryvyi, O.F.: Methods of mathematical modelling in navigation. ONMA, Odessa, Ukraine (2015).
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). - doi:10.1201/9780429341939-16
Kryvyi, O.F., Miyusov, M.V.: Mathematical model of movement of the vessel with auxiliary wind-propulsors. Shipping & Navigation. 26, 110–119 (2016).
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).
Kryvyi, O.F., Miyusov, M.V.: New mathematical models of longitudinal hydrodynamic forces on the ship’s hull. Shipping & Navigation. 30, 88–89 (2020).
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). - doi:10.1201/9780429341939-16
Miyusov, M.V.: Modes of operation and automation of motor vessel propulsion unit with wind propulsors. ONMA, Odessa, Ukraine (1996).
Pershytz, R.Y.: Dynamic control and handling of the ship. , Sudostroenie, Leningrad (1983).
Sobolev, G.C.: Dynamic control of ship and automation of navigation. , Sudostroenie, Leningrad (1976).
Voytkunskiy, Ya.I.: Handbook of the ship theory. , Sudostroenie, Leningrad (1985).
Yasukawa, H., Yoshimura, Y.: Introduction of MMG standard method for ship maneuvering predictions. Journal of Marine Science and Technology. 20, 1, 37–52 (2015). - doi:10.1007/s00773-014-0293-y
Yoshimura, Y., Masumoto, Y.: Hydrodynamic Database and Manoeuvring Prediction Method With Medium High-Speed Merchant Ships And Fishing. Presented at the International Conference on Marine Simulation and Ship Manoeuvrability (MARSIM 2012) (2012). - doi:10.1007/s00773-014-0293-y
Citation note:
Kryvyi O., Miyusov M.V.: Construction and Analysis of Mathematical Models of Hydrodynamic Forces and Moment on the Ship's Hull Using Multivariate Regression Analysis. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 15, No. 4, doi:10.12716/1001.15.04.18, pp. 853-864, 2021

Other publications of authors:

File downloaded 56 times

Important: TransNav.eu cookie usage
The TransNav.eu website uses certain cookies. A cookie is a text-only string of information that the TransNav.EU website transfers to the cookie file of the browser on your computer. Cookies allow the TransNav.eu website to perform properly and remember your browsing history. Cookies also help a website to arrange content to match your preferred interests more quickly. Cookies alone cannot be used to identify you.
Akceptuję pliki cookies z tej strony