Polygonal multiresolution topology optimization of multi-material structures subjected to dynamic loads

Topology optimization of multi-material structures under dynamic loads is implemented to minimizing compliance on polygonal finite element meshes with multiple volume constraints. A multiresolution scheme is introduced to obtain high resolution de-signs for structural dynamics problems with less computational burden. This multiresolution scheme employs a coarse finite element mesh to fulfil the dynamic analysis, a refined density variable mesh for optimization and a density variable mesh overlapping with the density variable mesh for design configuration representation. To obtain the dynamic response, the HHT-α method is employed. A ZPR (Zhang-Paulino-Ramos Jr.) update scheme is used to update the design variables in association to multiple volume constraints by a sensitivity separation technique. Several numerical examples are presented to demonstrate the effectiveness of the method to solve the topology optimization problems for mul-ti-material structures under dynamic loads.