  This paper presents a topology optimization framework for structural problems
subjected to transient loading. The mechanical model assumes a linear elastic
isotropic material, infinitesimal strains, and a dynamic response. The
optimization problem is solved using the gradient-based optimizer Method of
Moving Asymptotes (MMA) with time-dependent sensitivities provided via the
adjoint method. The stiffness of materials is interpolated using the Solid
Isotropic Material with Penalization (SIMP) method and the Heaviside Projection
Method (HPM) is used to stabilize the problem numerically and improve the
manufacturability of the topology-optimized designs. Both static and dynamic
optimization examples are considered here. The resulting optimized designs
demonstrate the ability of topology optimization to tailor the transient
response of structures.
