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

IF 1.7 4区工程技术 Q3 ENGINEERING, CIVIL

Iranian Journal of Science and Technology, Transactions of Civil Engineering Pub Date : 2024-07-10 DOI:10.1007/s40996-024-01512-8

Carlos N. Zenatti, Guilherme S. Silveira, Gustavo M. S. Gidrão, Paulo Rogério Novak, Rúbia Mara Bosse, Laura Silvestro, Lara K. Marcos

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Abstract

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.

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空心板固有频率的分析评估：土木工程应用的实用方法

本研究提出了一种预测空心芯楼板固有频率的分析方法，解决了结构工程中的一项重要研究和应用需求。研究建议通过 ANSYS 软件利用有限元法（FEM）进行数值-实验校准，以评估根据文献研究验证的空心板模态响应。通过开发 Irvine 方程，本研究提出了一种确定板固有频率的简化方法。板被建模为简支梁，欧文方程被用于简化多个自由度结构（SDOF）并确定不同跨度的固有频率。数值-实验模型的验证结果表明，第三振动模式的最大误差为 8.32%，证明了所提出的分析方法的准确性和实用性。这种方法可用于确定《巴西混凝土结构设计标准程序》中提出的振动适用性。它可以帮助工程师和制造商估算结构顺应性和振动适用性。

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来源期刊

Iranian Journal of Science and Technology, Transactions of Civil Engineering ENGINEERING, CIVIL-

CiteScore

3.30

自引率

11.80%

发文量

203

期刊介绍： The aim of the Iranian Journal of Science and Technology is to foster the growth of scientific research among Iranian engineers and scientists and to provide a medium by means of which the fruits of these researches may be brought to the attention of the world’s civil Engineering communities. This transaction focuses on all aspects of Civil Engineering and will accept the original research contributions (previously unpublished) from all areas of established engineering disciplines. The papers may be theoretical, experimental or both. The journal publishes original papers within the broad field of civil engineering which include, but are not limited to, the following: -Structural engineering- Earthquake engineering- Concrete engineering- Construction management- Steel structures- Engineering mechanics- Water resources engineering- Hydraulic engineering- Hydraulic structures- Environmental engineering- Soil mechanics- Foundation engineering- Geotechnical engineering- Transportation engineering- Surveying and geomatics.