Open AccessHydrodynamic surfaces with midsection in the form of Lame curve
Author(s) -
Valery V. Karnevich
Publication year - 2021
Publication title -
vestnik rossijskogo universiteta družby narodov. seriâ inženernye issledovaniâ
Language(s) - English
Resource type - Journals
eISSN - 2312-8151
pISSN - 2312-8143
DOI - 10.22363/2312-8143-2021-22-4-323-328
Subject(s) - hull , perpendicular , plane (geometry) , geometry , surface (topology) , representation (politics) , mathematics , vertical plane , plane symmetry , mathematical analysis , structural engineering , engineering , marine engineering , law , politics , political science
General representation of ship geometry is given by the method of slicing the ship hull by three mutually perpendicular planes: vertical symmetry plane which runs along the middle of hull width, horizontal plane which divides the hull into underwater and abovewater parts, and vertical plane perpendicular to the other two which coincides with midsection. By taking the same three predefined sections of the theoretical hull shape, it is possible to obtain three algebraic surfaces of different order, which are called hydrodynamic in this article. By introducing alphabetic parameters to signify orders of ship skeleton main curves and then by giving them various numerical values, it is possible to consider a large number of hull shapes, having only three explicit surface equations. Method of deriving the equations, obtained by other authors, using only three explicit algebraic equations is demonstrated. The proposed technique is illustrated on six new ship hull shapes.