Understanding seismic energy input and dissipation mechanism is necessary for energy-based seismic design of complex underground structures. Due to the intrinsic uncertainty of ground motion, stochastic methods are usually needed. In this paper, we study the seismic energy input and dissipation mechanism in an underground structure using the probability density evolution method (PDEM). It is found that the cumulative hysteretic energy dissipation (Eh) of the underground structure is reduced by 55% compared with the above-ground structure due to soil constraint. The columns, walls and slabs at the bottom of the underground structure have a high demand for Eh, which are vulnerable spots of the structure.

中文翻译：

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基于概率密度演化法的地铁站结构地震输入能量特征

了解地震能量输入和耗散机制对于复杂地下结构的能量抗震设计是必要的。由于地震动的内在不确定性，通常需要随机方法。在本文中，我们使用概率密度演化方法（PDEM）研究了地下结构中的地震能量输入和耗散机制。发现累积滞后能量耗散（乙H)受土壤约束，地下结构比地上结构减少 55%。地下结构底部的柱、墙和楼板对结构的要求很高乙H，这是结构的脆弱点。