中文摘要：

采用Hilbert-Huang变换的波谱分析技术,对输入地震波进行波谱分析;并根据能量原理,推导损伤状态下的能量反应方程.基于损伤能量方程对隧道结构进行非线性地震反应分析,讨论了隧道结构的抗震薄弱部位及其渐近破坏过程.研究结果表明：隧道衬砌拱肩和墙脚是隧道抗震的薄弱部位,在一些强震作用下,仰拱也会出现破坏,隧道抗震设计应加强这些部位的抗震措施.研究结果可为隧道结构抗震设计提供依据和指导.

英文摘要：

Spectrum analysis of input earthquake waves is conducted by Hilbert-Huang transform technology,and energy response equation under damage condition is deduced based on energy principle.Damage index and energy index for nonlinear seismic response of tunnel structures are proposed,by which the seismic vulnerable area and progressive damage process of tunnels can be obtained.The experimental results show that the shoulder and the basement of the tunnel are the two seismic vulnerable areas.Furthermore,in the inverted arch of the tunnel damage would appear under some strong earthquakes.Aseismic measures should be reinforced in these vulnerable areas.The research results may be used as a reference to seismic design of tunnel structures.