Abstract
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.
Highlights
E 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. erefore, 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; the simulation of the whole dynamic damage evolution is worthy of investigation of the dam body and dam foundation
Erefore, the main-aftershock sequence relationship in this paper mainly considers the influence of the largest aftershock after the main shock. is paper combines the statistical results of the main shock and aftershock and attenuation relation of aftershock ground motion, introducing transcendental probability function to express statistical characteristics of aftershock intensity
On the basis of the previous research results and with the randomness of ground motion taken into consideration, a new method for main-aftershock sequence construction based on probability is proposed in this paper, which is intended for the seismic analysis under different main-aftershock ground motion sequences with different aftershock transcendence probabilities. e integral damage model of the dam system is established, with the theory of plastic damage mechanics applied for the analysis of the rock material
Summary
The main-aftershock (mainshock-aftershock) sequence is defined as the combination of the largest aftershock after the main shock and the main shock; that is, the sequence of two shocks is superimposed. ere will be dozens or even hundred of aftershocks after the strong main shocks; some scholars have found that smaller aftershocks have less impact on the further damage of the dam. Is paper combines the statistical results of the main shock and aftershock and attenuation relation of aftershock ground motion, introducing transcendental probability function to express statistical characteristics of aftershock intensity. (2) Choose the appropriate attenuation relationship of aftershock ground motion according to the magnitude, the epicenter distance, and site characteristics of the main shock. (3) According to the magnitude and the epicenter distance of the main shock and aftershock obtained, determine the duration and intensity envelope functions. Us, the statistical law of aftershock intensity expressed by the peak acceleration transcendence probability P of aftershock is proposed in this paper when constructing the parameters of aftershock ground motion. E probability density function equation (4) and cumulative distribution function equation (5) of relative peak acceleration ∇PGA of the main shock and aftershock ground motions can be obtained by calculation. Peak acceleration of vertical seismic wave takes 2/3 of horizontal
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