中文摘要：

对径向谐和激励下圆形隧道的动力稳定性进行了研究,从动荷载下衬砌结构的振动方程出发,得到了隧道衬砌动力失稳临界频率计算公式,对可能影响隧道衬砌动力稳定性的因素进行了参数分析,探讨了系统参数,如地基土的性质、衬砌径厚比、外激励的性质以及系统的阻尼对衬砌动力稳定性的影响.计算结果表明：隧道周围土体的性质以及系统阻尼对衬砌的动力稳定性影响不大;相反,衬砌的厚度和外激励特性对衬砌的动力不稳定区域影响较大.

英文摘要：

An analytical procedure was presented to evaluate the dynamic stability of circular tunnel linings subjected to radial harmonic stresses.Considering the dynamic interaction between the linings and the surrounding soil,the calculation of critical exciting frequency of linings was derived.A parametric study was performed to investigate the effects of some key parameters of the linings-soil system on the dynamic stability of the circular linings,such as the foundation＇s properties,ratio of the lining＇s radius and thickness,the exciting stresses,and the damp of the system.Numerical results demonstrate that the properties of the surrounding soil and the damp of the soil-lining system barely affect the dynamic stability of the lining.Whereas,the thickness of the lining and the input exitation have a considerable influence on the dynamic instable area of the lining.