Analytical Evaluation of Natural Frequencies in Hollow-Core Slabs: A Practical Methodology for Civil Engineering Applications

This study presents an analytical methodology for predicting the natural frequencies of hollow-core slab panels, addressing a significant research and application need in structural engineering. The study suggests a numerical–experimental calibration utilizing the Finite Element Method (FEM) via ANSYS software to assess the modal response of hollow-core slabs validated according to literature study. Through the development of Irvine’s equation, this research proposes a simplified methodology for determining the natural frequency of slabs. The slabs were modeled as simply supported beams, and Irvine’s equations have been applied to simplify several degrees of freedom structure (SDOF) and determine the natural frequencies for various spans. The validation of the numerical–experimental model indicates a maximum error of 8.32% in the third vibration mode, demonstrating the accuracy and practicality of the proposed analytical method. This approach could be useful in determining the vibration serviceability presented in Brazilian Standard Procedure for the Design of Concrete Structures. It can help engineers and manufacturers to estimate structural compliance and vibration serviceability.