METHODS FOR COMBINATORIAL CONSTRAINT IN TOPOLOGY OPTIMIZATION USING SHAPE TRANSFORMATION

摘要

Methods for combinatorial choice in topology optimization are disclosed. In one embodiment, a method of performing combinatorial choice in a non-linear programming problem for designing a structure includes establishing, by one or more processors, a set of K variables, wherein the set of K variables defines an K-dimensional unit cube in a normal coordinate system. The K-dimensional unit cube includes a plurality of desired vertices representing a plurality of desired combinations that satisfy a constraint and a plurality of undesired vertices representing a plurality of undesired combinations that do not satisfy the constraint. The method further includes transforming the K-dimensional unit cube into a transformed shape in a transformed coordinate system using a shape function. Values of the set of K variables cannot have a combination represented by the plurality of undesired combinations.