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This paper presents a topology optimization framework for structural problemssubjected to transient loading. The mechanical model assumes a linear elasticisotropic material, infinitesimal strains, and a dynamic response. Theoptimization problem is solved using the gradient-based optimizer Method ofMoving Asymptotes (MMA) with time-dependent sensitivities provided via theadjoint method. The stiffness of materials is interpolated using the SolidIsotropic Material with Penalization (SIMP) method and the Heaviside ProjectionMethod (HPM) is used to stabilize the problem numerically and improve themanufacturability of the topology-optimized designs. Both static and dynamicoptimization examples are considered here. The resulting optimized designsdemonstrate the ability of topology optimization to tailor the transientresponse of structures.

Topology optimization for transient response of structures subjected to dynamic loads