Robust optimization of energy absorption ability with variance of crash

In this paper, we investigate the crash robust characteristics of half cut type side member structure by optimal design method to improve average value of absorbed energy and standard deviations. We propose a robust optimal design method that needs to solve three optimal design subproblems, the first one is to maximize the average value of absorbed energy, the second one is to minimize the standard deviation of absorbed energy, and the last is multi-objective optimal design for maximum average value and minimum standard deviation of absorbed energy. As the numerical results, taking into account of standard deviation of absorbed energy, the minimum energy absorbed by the optimal side member structure with half cut type is 1.45 times more than the maximum energy absorbed by the original rectangular cross sectional side member structure with half cut type which is generally used.