Accurate calculation of the additional damping ratio provided by the damper to the structure is a necessary parameter for evaluating and selecting the optimal damping design scheme. At present, bilinear model is usually adopted to calculate the additional damping ratio of buckling‐restrained brace (BRB) and metal damper, but this method is not accurate. The hysteretic characteristics of the dampers can be simulated accurately by Bouc–Wen model. However, the traditional expression of Bouc–Wen model is implicit, and its energy dissipation cannot directly be quantified. In view of this, the explicit analysis of Bouc–Wen model is carried out, and the analytical solution of energy dissipation of this model is proposed. Furthermore, the formula for calculating the additional damping ratio is obtained. The correctness of the analytical solution is verified by numerical examples, and compared with the bilinear model, the superiority of the proposed method in the calculation accuracy is proved. The effect of the Bouc–Wen model parameters on the additional damping ratio is studied. The difference between Bouc–Wen model and bilinear model with various earthquake excitations is proved by finite element method, and the difference of dynamic response between the damping structures based on different damper models is shown and compared.

中文翻译：

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基于Bouc–Wen模型的附加阻尼比的解析表达式和性能评估

减震器提供给结构的附加减震比的准确计算是评估和选择最佳减震设计方案的必要参数。目前，通常采用双线性模型来计算屈曲约束支撑（BRB）和金属阻尼器的附加阻尼比，但这种方法并不准确。Bouc–Wen模型可以精确地模拟阻尼器的滞后特性。但是，Bouc-Wen模型的传统表达式是隐式的，其能量耗散无法直接量化。有鉴于此，对Bouc–Wen模型进行了显式分析，并提出了该模型的能量耗散解析解。此外，获得了用于计算附加阻尼比的公式。通过数值算例验证了所提方法的正确性，并与双线性模型进行了比较，证明了所提方法在计算精度上的优越性。研究了Bouc–Wen模型参数对附加阻尼比的影响。通过有限元方法证明了具有不同地震激励的Bouc–Wen模型与双线性模型之间的差异，并显示并比较了基于不同阻尼器模型的阻尼结构之间动力响应的差异。