Topology optimization considering dynamic problems currently is a challenging topic. It demonstrates wide prospects and great values in engineering application covering high-end equipment, aeronautical and aerospace structure designs. This work is focused on the structural topology optimization methods related to dynamic responses under harmonic base acceleration excitations for large-scale problems. We propose using the large mass method (LMM) in which artificial large mass values are attributed to each driven nodal degree of freedom (DOF), which can thus transform the base acceleration excitations into force excitations. Mode acceleration method (MAM) is then used to calculate the harmonic displacement response and the accuracy of dynamic response is verified by several numerical examples. A density based optimization model is established, which the relative displacement amplitude at the concerned location of a structure is defined as the objective function subjected to the volume constraint. Numerical examples are finally presented to demonstrate the validity of the proposed method in improving dynamic performance.
