Discussers (Hariri-Ardebili and Sattar) address the paper “Seismic assessment of deep water bridges in reservoir considering hydrodynamic effects using endurance time analysis” written by the coauthors of this response. They present the fundamental assumptions on the generation of Endurance Time Excitation Functions (ETEFs) and the derivation of fragility functions by Endurance Time Analysis (ETA). Since the fragility functions of bridge piers derived in the discussed paper are based on a deterministic fragility dispersion $\zeta$, discussers criticize that the record-to-record variability ${\beta }_{RTR}$ of ground motions and fragility dispersion $\zeta$ cannot be captured by ETA, which can be affected by many factors (e.g. damage states, Intensity Measures (IMs) and levels of Engineering Demand Parameters (EDPs)), and, consequently, consider it inappropriate for deriving the fragility curves by assuming a constant $\zeta$. The discussers also provide a probabilistic ETEF approach to estimate the ${\beta }_{RTR}$. Coauthors appreciate the discussions on the determination of the fragility dispersion $\zeta$ for ETA-based fragility analysis and welcome the new approach to estimate fragility dispersions for ETA but disagree with the discussers’ characterization of fragility dispersions and consider that it is appropriate to develop the ETA-based fragility curves by assuming a constant $\zeta$ for a specified type of structures as presented in the discussed paper.

讨论者（Hariri-Ardebili和Sattar）发表了由该响应的共同作者撰写的论文“考虑水动力效应的水库深水桥梁的地震分析，使用了耐力时间分析”。他们提出了有关耐力时间激发函数（ETEF）生成和通过耐力时间分析（ETA）推导易碎性函数的基本假设。由于讨论的论文中得出的桥墩的脆性函数基于确定性脆性弥散$\zeta$，讨论者批评记录之间的差异 ${\beta }_{\mathrm{[R}Ť\mathrm{[R}}$ 地震动和脆性扩散 $\zeta$ 不能被ETA捕获，而ETA可能会受到许多因素的影响（例如，损坏状态，强度度量（IM）和工程需求参数（EDP）的水平），因此，认为通过假设常数不适合得出易碎性曲线 $\zeta$。讨论者还提供了概率ETEF方法来估计${\beta }_{\mathrm{[R}Ť\mathrm{[R}}$。合著者赞赏有关确定脆性弥散的讨论$\zeta$ 用于基于ETA的脆性分析，并欢迎采用新方法来估算ETA的脆性分散度，但不同意讨论者对脆性分散性的描述，并认为通过假设一个常数来建立基于ETA的脆性曲线是合适的 $\zeta$ 讨论的论文中介绍的特定类型的结构。