Dynamic phenomena in coupled problems are of major importance in many multi-physics applications in industry and academia. Their modeling and simulation in the transient or frequency domain are notoriously challenging, even more so in the context of optimization. One must balance the accuracy and complexity of the models with the computational cost of the solvers, enabling compatibility with classical optimization techniques. The aim of this minisymposium is to gather researchers from both industry and academia to review recent advanced developments around two key points: 1. The modeling of the involved linear or non-linear dynamic multi-physics phenomena, including the efficient numerical treatment ranging from suitable finite element technologies, coupling strategies to reduced-order models of the coupled system. 2. The development of multi-objective and/or constrained optimizations in this physical context such as parametric, shape and/or topological optimizations applied to deterministic and/or stochastic settings. Multi-fidelity approaches and surrogate-based techniques are welcome in this minisymposium, as well as methods of gradients computation based on adjoint problems. With respect to applications, coupled/multi-physics systems are, for example, expected in the following non-exhaustive list of fields: • Fluid-structure interaction (vibroacoustics, sloshing, aeroelasticity, etc.) • Coupled structures incorporating viscoelastics, porous materials, etc. • Coupled structures with smart electric devices such as piezoelectric patches. • Design of multi-physics dynamic systems such as electrical machines.