Nonlinear hysteretic isolators are widely applied in the field of vibration isolation due to their excellent energy dissipation capacity. However, the dynamic response prediction of nonlinear hysteretic isolators highly depends on accurate modeling methods for nonlinear hysteresis under varying conditions. This paper proposes a dynamic response prediction model based on quasi-static characteristics to precisely characterize the dynamic properties of nonlinear hysteretic isolators. The model employs a normalized Bouc-Wen framework, extended by polynomials, to describe the possible nonlinear stiffness and asymmetric hysteretic behaviors under quasi-static loading conditions. Additionally, global nonlinear elastic and damping terms are introduced to further capture the dynamic hysteretic characteristics over a wider range of operating velocities. The model parameters can be identified through quasi-static cyclic loading experiments and dynamic sinusoidal experiments. Then, the parametric model representing the restoring force is integrated into the dynamic equation for dynamic response prediction of the isolation object. The effectiveness of the proposed model is experimentally validated using an assembled hysteretic isolator. With limited testing data at specific amplitudes and frequencies, the resonance frequencies under steady-state excitations and the root mean square values under stochastic excitations are predicted with average accuracies of 97.40% and 97.09%, respectively.

中文翻译：

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基于准静态特性和动态补偿的非线性磁滞隔振器动态响应预测模型


非线性磁滞隔振器因其优异的耗能能力而被广泛应用于隔振领域。然而，非线性磁滞隔振器的动态响应预测在很大程度上依赖于不同条件下非线性磁滞的精确建模方法。本文提出了一种基于准静态特性的动态响应预测模型，以精确表征非线性磁滞隔振器的动态特性。该模型采用归一化 Bouc-温 框架，由多项式扩展，以描述准静态载荷条件下可能的非线性刚度和不对称滞后行为。此外，还引入了全局非线性弹性和阻尼项，以进一步捕获更宽工作速度范围内的动态滞后特性。模型参数可以通过准静态循环载荷实验和动态正弦实验来确定。然后，将表示恢复力的参数模型集成到动力学方程中，用于隔振对象的动态响应预测。使用组装的磁滞隔离器对所提出模型的有效性进行了实验验证。在特定振幅和频率下的测试数据有限的情况下，稳态激励下的谐振频率和随机激励下的均方根值预测平均精度分别为 97.40% 和 97.09%。