The traditional linear elastic and Drucker–Prager (DP) models cannot truly reflect the strong nonlinear characteristics of the concrete and rock foundation of the dam under earthquake. Therefore, for comprehensive evaluation of the cumulative damage of the gravity dam structure caused by aftershock, the dynamic damage of the dam body concrete is analyzed by many scholars through the plastic damage mechanics method, but there is little research on rock material at the dam foundation with the method utilized; thus, the simulation of the whole dynamic damage evolution is worthy of investigation of the dam body and dam foundation. According to the randomness of ground motion, the transcendental probability (P) is introduced to express the statistical characteristics of aftershock intensity, and a new method for constructing main-aftershock sequences of ground motion is proposed in this paper. And then, the law of the damage evolution and energy characteristics of the concrete gravity dam under the combined action of the main shock and aftershock sequences is studied. The results are shown as follows: the smaller aftershocks do not cause further damage to the dam; as the aftershock intensity increases, the energy characteristics of the dam body and foundation have shown different changing rules; when the ratio of peak aftershock acceleration to peak main shock acceleration (∇PGA) approximately equals 0.68, the aftershock will cause larger secondary damage to the dam.

中文翻译：

---

主余震序列构造的新方法及其在重力坝整体破坏累积效应分析中的应用

传统的线性弹性和Drucker-Prager（DP）模型无法真实反映地震作用下大坝混凝土和岩石基础的强烈非线性特征。因此，为全面评估余震对重力坝结构的累积损伤，许多学者通过塑性损伤力学方法对坝体混凝土的动力损伤进行了分析，但对坝基岩石材料的研究很少。使用的方法 因此，对整个动态损伤演化的模拟值得对坝体和坝基进行研究。根据地面运动的随机性，引入先验概率（P）来表达余震强度的统计特征，提出了一种构造地震动主余震序列的新方法。然后，研究了主冲击和余震序列共同作用下混凝土重力坝的破坏演化和能量特性规律。结果如下：较小的余震不会对大坝造成进一步破坏；随着余震强度的增加，坝体和地基的能量特性表现出不同的变化规律。当余震峰值加速度与主冲击峰值加速度（∇PGA）之比大约等于0.68时，余震将对大坝造成更大的二次破坏。研究了主冲击和余震序列共同作用下混凝土重力坝的破坏演化和能量特性规律。结果如下：较小的余震不会对大坝造成进一步破坏；随着余震强度的增加，坝体和地基的能量特性表现出不同的变化规律。当余震峰值加速度与主冲击峰值加速度（∇PGA）之比大约等于0.68时，余震将对大坝造成更大的二次破坏。研究了主冲击和余震序列共同作用下混凝土重力坝的破坏演化和能量特性规律。结果如下：较小的余震不会对大坝造成进一步破坏；随着余震强度的增加，坝体和地基的能量特性表现出不同的变化规律。当余震峰值加速度与主冲击峰值加速度（∇PGA）之比大约等于0.68时，余震将对大坝造成更大的二次破坏。