The high and slender historical masonry minarets are vulnerable to the static and dynamic loads. Performance analyses of minarets are implemented using three-dimensional numerical models in recent years. However, the complex and inhomogeneous nature of historical structures increases the likelihood of incorrect creation of numerical models. For that reason, it is important to know the experimental dynamic characteristics of masonry minarets to update the numerical models accordingly. However, it is very difficult and costly to conduct in-situ tests for every minaret. The present paper aims to develop a simplified fundamental frequency formula based on in-situ ambient vibration tests for historical masonry stone cylindrical minarets. Nineteen historical masonry stone cylindrical minarets are chosen for this purpose. Firstly, experimental frequencies, mode shapes and damping ratios of the selected minarets are determined and evaluated using the experimental measurements. Enhanced Frequency Domain Decomposition (EFDD) technique is used to obtain the experimental dynamic characteristics. Based on the obtained experimental natural frequencies, the correlation of the first natural frequency with various geometrical parameters of minaret is demonstrated by the regression analyses. In order to verify numerical models of the masonry stone cylindrical minarets, a simplified fundamental natural frequency formula based on the minaret geometrical dimensions is proposed using the experimental natural frequencies. In addition, coefficients for estimating the second and third frequencies are also presented. It has been observed that the proposed formula gives very consistent results with the measurement and literature data.

历史悠久的砖石尖塔高而纤细，易受静态和动态载荷的影响。宣礼塔的性能分析是近年来使用三维数值模型进行的。但是，历史结构的复杂性和非均质性增加了错误创建数值模型的可能性。因此，重要的是要知道砌体尖塔的实验动态特性，以相应地更新数值模型。但是，对每个尖塔进行原位测试非常困难且成本很高。本文旨在为原石砌石圆柱尖塔开发基于现场环境振动测试的简化基频公式。为此选择了十九个历史砌石圆柱尖塔。首先，使用实验测量值确定并评估所选尖塔的实验频率，振型和阻尼比。增强的频域分解（EFDD）技术用于获得实验动态特性。基于获得的实验固有频率，通过回归分析证明了第一固有频率与尖塔各种几何参数的相关性。为了验证砖石圆柱尖塔的数值模型，提出了基于尖塔几何尺寸的简化基本固有频率公式，并使用了实验固有频率。另外，还提出了用于估计第二和第三频率的系数。