远场压缩应力作用下方形地下结构地震内力的解析解  

Analytical Solution of Seismic Internal Force for Square Underground Structures Subjected to Far Field Compressive Stress

作　　者：刁玉红[1] 刘建峰 张运良[1] 

机构地区：[1]大连理工大学建设工程学部水利工程学院,辽宁大连116024 [2]中国水电顾问集团华东水利水电勘测设计研究院,浙江杭州310014

出　　处：《水电能源科学》2013年第12期87-89,97,共4页Water Resources and Power

基　　金：国家自然科学青年基金资助项目(50809013);中国水利水电科学研究院开放基金资助项目(IWHR02009019)

摘　　要：目前对地下结构在竖向传播的水平剪切S波作用下的地震内力及变形已给出了拟静力法闭合解析解,但对P波竖向压缩作用下的有关解答仍待探讨。对此基于拟静力法,采用平面弹性力学复变函数理论,推导出无限远处作用地震P波压缩应力时方形深埋地下结构内力的解析解,以便初步抗震设计时采用。通过算例验证,应用复变函数方法求得的位移解析解数值较大,偏于安全。At present, the closed form analytical pseudo-static solutions of seismic induced deformations and internal forces of underground structures subjected to far field shear stresses from vertically incident S wave has been presented in the literature. However, analytical solutions in the case of rectangular structure subjected to far field compressive stresses from P wave still need to be discussed. Based on the plane elasticity complex variable theory, relevant solutions of seismic internal forces are derived in this paper for deep-buried square structures subjected to far-field compression stresses from P wave, which is simple to use in elementary seismic design. Example results show that the analytical solutions of dis- placement using complex function method are larger and it is incline to be more safety.

关 键 词：方形地下结构 地震内力 P波 复变理论 拟静力法 

分 类 号：TV314[水利工程—水工结构工程]