## 5 Results
### Ambient Vibration Results for 2022-2023
Therefore, a reduction in the sampling frequency to 30 Hz could be more appropriate for capturing the significant dynamic behavior of the structure, while also requiring less processing. Next, the results of ambient vibration recordings for the 2022-2023 period are presented after applying downsampling to 30 Hz. This step was carried out with the aim of reducing the frequency range analyzed and focusing on the frequencies that are more relevant to the structural dynamics. Unlike the previous analysis of the raw data, this time, both the X and Y directions of the building were considered to observe possible variations in the identified frequencies along both directions. Figure 8 presents the results of the downsampling data analysis for both the X and Y directions, considering the two frequencies with the highest modal participation, provided they have a participation percentage greater than 10%. The figure on the left corresponds to the frequencies identified in the X direction, while the figure  
Although similarities in frequency concentrations are observed in both graphs, there are also some notable differences. For example, in the Y direction, frequencies higher than 10 Hz show greater dispersion compared to the X direction, where the concentration is denser. In the frequency range shown (up to 15 Hz), there is a higher concentration of points at lower frequencies, indicating the relevance of these frequencies in the structural dynamics. As the frequency increases, the point density decreases and dispersion increases, especially above approximately 13 Hz, suggesting that lower frequencies are usually more representative of the natural vibration modes in structures of this type. In summary, the analysis reveals two dominant frequency ranges around 2.5 Hz and 10 Hz that are common in both directions, indicating relevant modes for the structure. The difference in dispersion between the two directions and the lack of concentration at higher frequencies highlight the importance of these dominant modes, while higher frequencies seem to be less significant for the structural dynamics. Based on these initial results, the analysis was centered on the identified frequency range around 2.5 Hz. A band-pass filter was applied to the original data sampled at 400 Hz, specifically targeting this frequency of interest. In Figure 9 the analysis focused on 2.5 Hz is presented, considering the two frequencies with the highest participation per analysis and those with a participation factor greater than 10%. This approach allows for a more detailed and precise study of the predominant components in the structure, aligned with the previously described methodology. Figure 8: Stable frequencies per order in the X and Y directions (downsampling to 30 Hz, >10% participation) for 2022–2023 ambient vibration. (**a**) X direction: \(f_{tol}=\zeta_{tol}=MAC_{tol}=0.01\). (**b**) Y direction: \(f_{tol}=\zeta_{tol}=MAC_{tol}=0.01\). The presence of these frequency groups within the same order reinforces the idea that there may be different dynamic modes that are coupled or have a predominant influence in the X direction of the building. The persistence of certain groups across multiple orders suggests that these modes are relevant to the structure and may be exhibiting consistent responses through the model. This differentiation between groups could indicate a significant interaction of these modes with the structure or the manifestation of structural modes influencing different directions or components of the system. Based on the boundaries identified through the clustering analysis, and with the purpose of analyzing the concentration of data by order, a threshold of 2.5 Hz was established for constructing boxplots for each order. This approach allows for a detailed observation of the dispersion and variability of frequencies. This threshold serves as a differentiating point between frequencies that could be associated with distinct dynamic modes or coupled influences within the structure.