ANÁLISE NUMÉRICA DAS VIBRAÇÕES DO SINO VOX PATRIS POR MEIO DE SOFTWARE DE ELEMENTOS FINITOS E SUA PROPAGAÇÃO DE ONDA NO NOVO SANTUÁRIO DO DIVINO PAI ETERNO EM TRINDADE – GO.

Abstract

The study of sound propagation from intense acoustic sources, such as large bells, is fundamental for urban planning and building engineering. The main objective of this work is to determine the maximum audibility distance of the Vox Patris bell at the New Sanctuary of the Divine Eternal Father in Trindade-GO, through numerical simulation. To this end, a methodology was developed using the Abaqus finite element software, employing a 2D axial-symmetric model to represent an ideal open field. A steady-state dynamics analysis was applied using the bell's principal frequency (92.5 Hz), a parameter obtained from a technical report (Perlikowski, 2018). The acoustic pressure (POR) data generated by the simulation were then processed and converted to Sound Pressure Level (dB). The analysis of the results was performed by plotting the Sound Pressure Level (dB) against the Logarithm of the Distance, which allowed the generation of a highly reliable linear trend line (𝑅𝑅2≈0,9495), validating that the model correctly simulated the physical attenuation of the wave. Extrapolation of this trend line to the hearing threshold (0 dB) demonstrated that the maximum theoretical propagation distance of the bell, in an idealized scenario without background noise, is approximately 7.64 kilometers. The study concludes that, considering the simulated free-field conditions, the results indicate that this value represents an estimate of the range in an idealized scenario. Thus, the work contributes by establishing a numerical model that can be refined in future studies.