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Graph Based Topology Optimization of Crashworthiness Structures

Today, crashworthiness optimization limits to sizing and shape optimization. Topology optimization in crashworthiness design has been withstanding until today any attempt of finding efficient solution algorithms. This is basically due to the high computational effort and the inherent sensitivity of crash simulation responses to design scatterings. In this work, the topology optimization problem shall be addressed with a new approach, in such a way as mathematical graphs are used to describe the optimization sequence (including geometry, loads, design variables and responses, etc.). This design conception is a good advance in topological model flexibility and allows for the application of new (e.g. rule–based) topology optimization algorithms. In this contribution a description of a crashworthiness topology optimization problem based on such graphs is proposed along with a truss framework optimization example using common CAD software and explicit finite element code. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)