Identification of frame geometry and boundary conditions from free-vibration modal signatures

This study presents an innovative approach for unveiling the hidden relationships between natural frequency patterns and structural parameters in grid-form frames. By analyzing vibrational characteristics, we determine key features, namely the number of vertical beams, boundary conditions, and aspect ratios. Extensive finite element analysis generates a dataset, mapping the natural frequencies as features against structural parameters as labels reveals distinct, streamlined clusters in the feature hyperspace, highlighting an underlying order in the system's dynamics. An advanced classification and interpolation model navigates these spectral trajectories to predict structural parameters accurately, even in the presence of damage or different materials. This study offers new insights into the intrinsic dynamics of complex structures, inviting further exploration into the subtle interplay between vibrational characteristics and structural identity. These findings open new avenues for research, potentially transforming the understanding of structural behavior in practical engineering applications.