Grammatical evolution of shape and its application to structural shape optimisation

Grammatical evolution of shape and its application to structural shape optimisation

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Article ID: iaor20133781
Volume: 48
Issue: 1
Start Page Number: 187
End Page Number: 199
Publication Date: Jul 2013
Journal: Structural and Multidisciplinary Optimization
Authors: , ,
Keywords: heuristics: genetic algorithms
Abstract:

We propose an automated shape generative framework, which provides an alternative way of exploring the design space in a structural mechanics context. The framework presented uses ‘blind’ evolutionary intelligence to synthesise shape grammar sentences i.e. Grammatical Evolution (GE), where rules are selected by a Genetic Algorithm (GA). This is a novel approach to automate the Shape Grammar (SG) formalism. We then present an application of a grammar based shape generative framework to solve a 2D design optimisation problem. This involves synthesis of parametric 2D curves where the shape grammar primitives are introduced as arcs represented by rotation and a radius. The efficacy of the proposed shape generative framework is then compared with that of Non‐Uniform Rational B‐Splines (NURBS) parametrisation for structural optimisation.

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