ABSTRACT Historical masonry stone mosques with timber truss roofs were widely constructed all over the world. Due to the complex structural behaviors of this type of building, it is difficult to determine natural frequencies during the seismic safety evaluations numerically. The article aims to develop simplified natural frequency formulas based on ambient vibrations for the historical masonry stone mosques with timber truss roofs. Fourteen masonry stone mosques with timber truss roofs built in the Eastern Black Sea Region of Turkey are selected for the study. Experimental natural frequencies, mode shapes and damping ratios of the selected mosques under ambient vibrations are determined using the Operational Modal Analyses. Ambient vibration-based simplified natural frequency formulas based on the geometrical dimensions for the masonry stone mosques with timber truss roofs are obtained by using the statistical regression analysis. The proposed formulas for the first three frequencies are verified with the control data.

中文翻译：

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具有木桁架屋顶的历史砖石清真寺的基于环境振动的简化频率公式

摘要 具有木桁架屋顶的历史悠久的砖石清真寺在世界各地广泛建造。由于这类建筑物的结构行为复杂，在地震安全性评价中很难用数值方法确定固有频率。本文旨在为具有木桁架屋顶的历史砖石清真寺开发基于环境振动的简化自然频率公式。研究选择了在土耳其东部黑海地区建造的十四座带有木桁架屋顶的砖石清真寺。所选清真寺在环境振动下的实验固有频率、振型和阻尼比是使用操作模态分析确定的。通过统计回归分析，得到了基于几何尺寸的木桁架顶砌石清真寺的基于环境振动的简化固有频率公式。前三个频率的建议公式用控制数据进行了验证。