A general approach for antiresonance assignment in undamped vibrating systems exploiting auxiliary systems

This paper proposes a method for antiresonance assignment in undamped vibrating systems, formulated as an inverse eigenvalue problem of the adjunct system. The method exploits both the addition of auxiliary systems, as in the well-known tuned mass damper, and modifications of the existing parameters. The approach handles arbitrary topology of modifications and provide a general formulation of the problem. Constraints on the feasible modifications can be included. The antiresonance assignment is solved exploiting the homotopy global optimization. The proposed method is validated on a continuum system.