Dimensional Variable Expansion—A formal approach to innovative design
A methodology called Dimensional Variable Expansion (DVE) is presented to formalize the process of design space expansion and design innovation. Unlike parametric design, where the structure of the design is specified and only the parameters are allowed to vary, DVE creates new structures, including new variables, constraints, and a reformulation of the objective function. Via DVE, a body is expanded into multiple regions by dividing along a dimensional variable, and then each region is permitted independent properties. Optimality conditions are used to determine which variables to expand and which regions should be subject to property modifications. With DVE the degrees-of-freedom of a design can be expanded and designs with unique features can be derived.
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