Guyed towers are slender vertical structures stabilized by stay cables (Fig. 1a), commonly used in engineering applications. Their pronounced slenderness, combined with the complex interaction between the central mast and the cable system, leads to a highly nonlinear response dominated by geometric effects [1, 2]. The structure is represented by a simplified three-dimensional discrete model with two degrees of freedom [2]. Special attention is devoted to modeling the unilateral contact in the cable system, which restricts the cables to carrying tension only. The resonance curves, Figs. 1b and 1c, show that incorporating unilateral contact strongly affects its resonance curves, emerging several unstable equilibrium paths (red curves in Fig. 1c) instead of stable equilibrium (blue curves in Figs. 1b and 1c). These findings emphasize the need to account for both geometric nonlinearities and the unilateral characteristics of the cable system from the earliest design stages to obtain accurate and safe structural assessments. [1] Silva, Fernanda N., Silva, Frederico M. A. (2024). Discrete mechanical model for nonlinear dynamical analysis of planar guyed towers considering the unilateral contact of cables. International Journal of Non-Linear Mechanics 167: 104875. [2] Silva, Fernanda N., Silva, Frederico M. A., Orlando, Diego. (2025). Nonlinear vibration analysis of a 3D discrete model for guyed towers with unilateral contact restrictions in cables. In: Ibero-Latin American Congress on Computational Methods in Engineering (CILAMCE).