Abstract Hysteretic damping model is consistent with experiment results within a wide frequency range, and is usually employed in structural dynamic analysis. However, hysteretic damping time-domain model has the two shortcomings, namely damped natural frequency increases with the increase of structural loss factor and the vibration response is non-causal. In order to overcome the two shortcomings, an improved hysteretic damping time-domain model based on frequency-dependent loss factor (IHDT) is proposed. Combined with strain energy method, a mode superposition method based on IHDT is further proposed, then an approximately linear time-domain calculation method (RIHDT) can be realized for multi-degree-of freedom hysteretic damped system. Shaking table test is conducted for cantilever plates composed of host and damping layers to validate the proposed method. Structural vibration responses under random excitations are obtained in the test, which are compared with the corresponding simulation results obtained by RIHDT and the time-domain method based on Rayleigh damping model (RT), respectively. The calculation results of RIHDT and RT are both similar to the test results under external excitation within low vibration frequencies. However, compared with RT, the calculation results of RIHDT are unique and the problem of choosing reasonable modes is avoided. For the test results of external excitation within high vibration frequencies, the computational accuracy of RIHDT is higher than the corresponding one of RT, since the contributions of higher vibration modes are not underestimated by RIHDT. Besides, RIHDT is based on the damping properties of materials, which makes the calculation process simple.

中文翻译：

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基于频率相关损耗因子的改进迟滞阻尼系统时域计算方法

摘要 滞回阻尼模型在较宽的频率范围内与实验结果一致，常用于结构动力分析。然而，滞回阻尼时域模型存在两个缺点，即阻尼固有频率随着结构损耗因子的增加而增加和振动响应是非因果关系的。为了克服这两个缺点，提出了一种改进的基于频率相关损耗因子（IHDT）的迟滞阻尼时域模型。结合应变能法，进一步提出了一种基于IHDT的模态叠加法，从而实现了多自由度滞回阻尼系统的近似线性时域计算方法(RIHDT)。对由主体层和阻尼层组成的悬臂板进行了振动台试验，以验证所提出的方法。试验中获得了随机激励下的结构振动响应，分别与RIHDT和基于瑞利阻尼模型（RT）的时域方法获得的相应仿真结果进行了比较。RIHDT和RT的计算结果均与低振动频率外激励下的试验结果相似。然而，与RT相比，RIHDT的计算结果是独一无二的，避免了选择合理模式的问题。对于高振动频率下外部激励的测试结果，RIHDT的计算精度高于RT的相应计算精度，因为 RIHDT 并没有低估更高振动模式的贡献。此外，RIHDT 是基于材料的阻尼特性，这使得计算过程变得简单。