Geometric modeling in design of naval elements
Ruíz S., Óscar E.
Leiceaga Baltar, Xoán
Rodrígez Pérez, Manuel
Prieto Villar, José
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Boundary Representations (B-Reps) of actual solid parts are correct from the geometrical and topological points of view -- However, when the solid to model has extreme slender ratios, the rigid rules of the B-Rep force a large number of finite elements required to model the solid interior of a closed shell (also called a 2-manifold without border) -- In the practice, modelling is then pursued by using only a partial shell (2-manifold with border), excluding the “interior” of it -- For the same reasons, other slender elements (trusses or beams) must be modelled as 1-dimensional wires (1-manifolds with border) -- Assumptions are made in both cases to replace the solid model information left aside -- The scenarios in which both 2-manifolds and 1-manifolds must coexist are undesirable from the mathematical point of view, since they render flawed topologies and geometries -- However, in the engineering domain, they are required, and enabled, by replacing the information lost in the modelling with additional kinematic and structural constraints -- These constraints force the 1-manifolds and 2-manifolds to intervene together in the numerical solution, therefore rendering realistic results, without actually coexisting in the geometric model -- These techniques are discussed here and applied to examples of shipbuilding industry, where slender forms and extremely large models are ubiquitous