In this paper, an analytical model representing the human–structure interaction (HSI) system of steel–concrete composite floors under human vibrations is described and discussed. In the theoretical analysis, the human and composite floor are idealized as the subsystems represented by a linear oscillator model and the anisotropic rectangular plate, respectively. The analytical formula for the natural frequency and acceleration response of a steel–concrete composite floor with various boundary conditions and HSI is proposed. For analyzing the natural frequencies, the human subsystem can be treated as a structural system with added mass, damping, and stiffness. The proposed analytical solution on the acceleration response is based on the combined weighted residual and perturbation method, which is simple to be implemented and can avoid the cumbersome numerical calculations. The theoretical solutions are validated with the experimental results. A sensitivity study utilizing the analytical solution was also conducted to investigate the effects of walking frequency, occupant weight, sprung mass, equivalent damping ratio, occupant natural frequency, and occupant spacing on the natural frequency and peak acceleration.

中文翻译：

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人与结构相互作用的公式，用于钢混凝土复合地板的振动实用性

在本文中，描述和讨论了代表钢-混凝土复合地板在人为振动下的人-结构相互作用（HSI）系统的分析模型。在理论分析中，将人为地板和复合地板理想化为分别由线性振荡器模型和各向异性矩形板表示的子系统。提出了具有不同边界条件和HSI的钢-混凝土组合楼板固有频率和加速度响应的解析公式。为了分析固有频率，可以将人类子系统视为具有附加质量，阻尼和刚度的结构系统。所提出的加速度响应分析解决方案基于加权残差和摄动组合方法，它易于实现，并且可以避免繁琐的数值计算。实验结果验证了理论解的正确性。还使用分析解决方案进行了敏感性研究，以研究步行频率，乘员重量，簧载质量，等效阻尼比，乘员固有频率和乘员间距对固有频率和峰值加速度的影响。