Mathematical and geometric modeling improve holding power in ship anchors, suggesting new engineering approaches.
Development and modernization of existing ship anchors, such as SPEK, DELTA, LWT, Danforth, AC-14, Hall, Matrosov, to meet modern requirements of design and engineering organizations requires a well-founded approach, which is carried out by introducing into the design process a mathematical description of the main properties and further three-dimensional modeling in one of the computer packages. The anchor's mathematical model is represented by a set of equations and inequalities reflecting the mass balance of parts and the anchor as a whole, the chemical composition of the material, technological and strength requirements for individual elements of the structure, the quality of the anchor in the form of its holding force. All geometric characteristics in the development of three-dimensional digital twins of the product are parametrically dependent on the main dimensions standardized by standards, the distribution of which from the mass is represented as a power function with the values of the obtained regression coefficients given in the work. The features of creating digital twins of a ship's anchor are considered based on modeling its most complex part - the fluke, which is realized in the form of elementary geometric figures: a parallelepiped, a prism, a cone, etc. All this allows us to develop and model modern ship anchors with increased holding power that meet the new wishes of customers.
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Kosterina et al. (2025) studied this question.
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