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Vehicle structure crashworthiness design is one of the most challenging problems in product development and it has been studied for decades. Challenges still remain, which include developing a reliable and systematic approach for general crashworthiness design problems, which can be used to design an optimum vehicle structure in terms of topology, shape, and size, and for both structural layout and material layout. In this paper, an advanced and systematic approach is presented, which is called Magic Cube (MQ) approach for crashworthiness design. The proposed MQ approach consists of three major dimensions: Decomposition, Design Methodology, and General Considerations. The Decomposition dimension is related to the major approaches developed for the crashworthiness design problem, which has three layers: Time (Process) Decomposition, Space Decomposition, and Scale Decomposition.

The objective of this research is to verify the optimum design obtained from a topology optimization process. The verification is through both numerical analysis and physical test. It will be shown that the optimum topology obtained from an example topology optimization process is independent of the material used and the dimension/size of the structure. This important feature is then proved for more general cases through theoretical analyses, numerical simulations, and physical experiments. The result extends the applicability of the optimum design and simplifies the prototyping and test process thus will result in significant cost saving in building full-size prototypes and performing expensive tests. This work is a combined effort with theoretical, numerical and experimental methods. A multi-domain multi-step topology optimization technique [1] will be utilized to find the optimum structural design.