采用复变函数法研究了地下输流管道在平面P波作用下的动应力集中问题.建立了地下输流管道的流固耦联波函教,求解了地下输流管道在地震波作用下的波函数动力学方程.研究表明:流体作用对管道内的径向动应力集中分布的影响较大;无量纲的空间频率显示,在低频P波作用下,管内流体所产生的径向动应力集中沿管周呈均匀分布,当空间频率加大时,管道内流体震荡增强,影响了管道的应力分布形态;低频域下管道的环向动应力集中峰值点较多,随着入射波空间频率的增加,应力集中程度呈衰减趋势.
Dynamic stress concentration response of an underground liquid-filled pipe impaeted by plane P waves was analyzed by complex function. The liquid-solid wave function of pipe in half-space was obtained and the dynamical equation of wave function was calculated under wave incidence. The analytical results show that liquid has great effects on radial dynamic stress concentration in pipe. Revealed by dimensionless spacial frequency, radial dynamic stress concentration occurs at surrounding of pipe under low frequency of incident P waves. Liquid vibration in the pipe increases with the increase of spacial frequency, which affects the distribution of dynamic stress in the pipe. There are many peak spots of hoop dynamic stress concentration under low spacial incident frequency; while dynamic stress concentration tends to attenuate with the increase of spacial incident frequency.