Matrix method for describing positions in analytical tasks of ship hull modelling

Authors: M.A. Budnichenko, D.V. Kuzmin, A.Yu. Spiridonov

Abstract

The article demonstrates the applicability of analytical methods in mathematic modelling of ship hull formation. It has been determined that the problems of positioning hull structures during assembly and erection are similar to those of manipulators with a large number of degrees of freedom. Applicability of robot kinematics algorithms has also been demonstrated. These algorithms are based on matrix method which describes positions in development of analytical models to investigate the process of ship hull formation meeting particular requirements for accuracy of its geometric dimensions and forms. Through the analytical model of the system made up by two interconnected cylindrical unit modules constructed as per matrix method the functions that link together the positions of reference points of the unit modules in the slipway coordinate system and their angular misalignment have been derived. These functions make it possible to position one unit module against the other with the accuracy defined by angular misalignment tolerances.

Keywords: shipbuilding, hull structures, interchangeability, accuracy, matrix method, analytical models, automation.

References

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About authors:

М.А. Budnichenko - PhD, JSC "PO "Sevmash", Severodvinsk, e-mail: smp@sevmash.ru

D.V. Kuzmin - PhD, associate professor, JSC "PO "Sevmash", Severodvinsk, e-mail: dymitr72@bk.ru

A.Yu. Spiridonov - JSC "PO "Sevmash", Severodvinsk, e-mail: smp@sevmash.ru

Issue: 58/59 (2020)

For citation: M.A. Budnichenko, D.V. Kuzmin, A.Yu. Spiridonov. Matrix method for describing positions in analytical tasks of ship hull modelling. Research Bulletin by Russian Maritime Register of Shipping. 2020, No. 58/59, pp. 107-113.

UDC 67.02

Pp: 107-113