Topology optimisation of damped structures subjected to harmonic excitations with stress constraints

The paper proposes a sequential coupling framework combining density-based and level set-based parametrisation methods for the topology optimisation of damped structures subjected to harmonic excitations. The optimisation problem is formulated as the minimisation of dynamic compliance under volume and stress constraints to reduce vibration amplitudes while ensuring structural reliability. The proposed approach first employs density-based parametrisation to efficiently explore the design space and identify a near-optimal topology, which is subsequently refined using level set-based parametrisation to obtain smooth and binary designs. By leveraging the complementary strengths of both methods, the framework combines topological flexibility with geometric accuracy. Its effectiveness is demonstrated through two-dimensional and three-dimensional stress-constrained topology optimisation benchmark problems.