In this paper, optimization of volume fraction distribution in a thick hollow heterogeneous cylinder subjected to impulsive internal pressure is considered. Dynamic behavior and wave propagation are considered in radial and axial directions. Volume fractions of constituent materials on a finite number of design points are taken as design variables and the volume fractions at any arbitrary point in the cylinder are obtained via cubic spline interpolation functions. The objectives are to minimize the amplitude of stress waves propagating through the structure during a specified time interval, while the total mass of the structure is also minimized. Minimizing the displacement amplitude of the outer surface of the cylinder will also be considered as another objective function. Multi-objective Genetic Algorithm jointed with interior penalty-function method for implementing constraints is effectively employed to find the global solution of the optimization problem. Obtained results indicates that by using the mentioned objective functions, considerably more efficient usage of materials can be achieved compared with the common power law volume fraction distribution. Based on our results, the proposed methodology provides a framework for designing functionally graded structures with optimum material tailoring.
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