考虑土层切向剪力作用的大直径竖井结构水平地震响应解析解
Analytical solution of horizontal seismic response of large-diameter shaft structure considering soil tangential shear force
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摘要: 已有震害经验表明,地下竖井结构遭受地震威胁且出现了严重的震害实例,为了得到竖井结构地震响应,基于Pasternak地基和Timoshenko梁理论,在已有考虑场地土层与竖井结构法向土压力作用的基础上,进一步考虑了场地土层与竖井结构的切向剪力作用,采用“梁⁃弹簧”模型建立了大直径竖井⁃场地土层动力相互作用系统分析模型,研究水平向地震作用下大直径竖井地震响应解析解。分别从竖井长径比、内外径比、竖井与场地弹性模量比值和竖井底部边界条件的角度出发,对竖井沿深度方向的峰值地震响应进行分析,结果发现竖井长径比减小会导致竖井沿深度方向内力峰值响应增大;竖井内外径比的增大会使竖井沿深度方向峰值内力响应减小;随着竖井与场地弹性模量比值的增大,竖井沿深度方向内力峰值响应会逐渐增大;弹性土层地基下的竖井位移响应比嵌岩型地基大,沿竖井深度方向嵌岩型地基下的剪力响应显著大于弹性土层地基,在底部位置处嵌岩型竖井的弯矩峰值响应较大。Abstract: Seismic experience has shown that underground shaft structures are subjected to seismic threats and severe examples of damage have occurred. In order to obtain the seismic response of the shaft, the ‘beam-spring’ model was used to establish a system analysis model for the dynamic interaction between the large-diameter shaft and the soil based on the Pasternak foundation and the Timoshenko beam theory. On the basis of considering the normal earth pressure of site soil layer and shaft structure, the tangential shear force of site soil layer and shaft structure is further considered. The analytical solution of seismic response of large diameter shaft under horizontal earthquake was studied. The peak seismic response of the shaft along the depth direction is analyzed from the aspects of the ratio of the length to diameter of the shaft, the ratio of the inner and outer diameters, the ratio of the elastic modulus of the shaft to the site and the boundary conditions at the bottom of the shaft. The results show that the decrease of the ratio of the length to diameter of the shaft will lead to the increase of the peak response of the internal force of the shaft along the depth direction. The increase of the inner and outer diameter ratio of the shaft will reduce the peak internal force response of the shaft along the depth direction. With the increase of the ratio of the elastic modulus of the shaft to the site, the peak response of the internal force of the shaft along the depth direction will gradually increase. The displacement response of the shaft under the elastic soil foundation is larger than that of the rock-socketed foundation. The shear response under the rock-socketed foundation along the depth direction of the shaft is significantly larger than that of the elastic soil foundation, and the bending moment peak response of the rock-socketed shaft at the bottom position is larger.
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