埋地双排复合式管体结构在SH波作用下的动力分析
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摘要
以波动理论为基础,采用复变函数法,给出了地下双排复合式管体结构在SH波作用下的解析解。分析了入射波角度、频率变化,管体埋深、内管的厚度变化等参数对管体动应力集中的影响。结果表明:复合式管体内侧的动应力集中峰值明显高于外侧;高频入射时,双排管体在给定距离之间的相互影响较大,动应力集中峰值向邻侧偏移;复合式管体内管越薄,动应力集中峰值越大;垂直入射时,动应力集中峰值受埋深的影响呈周期性变化。
Based on the wave motion theory,analytical solution for twin underground composite pipe structures under incident SH waves was found by the method of complex function.The solution was utilized to analyze the effects of incident wave angle,wave frequency,depth of structures and thickness of inside structures on the dynamic stress concentration.It was shown that the peak dynamic stress values of inside structure were distinctly higher than that of the outside;the great effect of one of double pipes can be indicated and the peak dynamic stress value line is excursive to the other nearby for high frequency incidence;the thinner for inside structure,the higher the peak dynamic stress value and the depth of structures influences the peak dynamic stress value periodically.
Based on the wave motion theory,analytical solution for twin underground composite pipe structures under incident SH waves was found by the method of complex function.The solution was utilized to analyze the effects of incident wave angle,wave frequency,depth of structures and thickness of inside structures on the dynamic stress concentration.It was shown that the peak dynamic stress values of inside structure were distinctly higher than that of the outside;the great effect of one of double pipes can be indicated and the peak dynamic stress value line is excursive to the other nearby for high frequency incidence;the thinner for inside structure,the higher the peak dynamic stress value and the depth of structures influences the peak dynamic stress value periodically.
引文
[1]王铎,汪越胜.界面动力学研究近况[J].上海力学,1993,14(4):1-15.
[2]于翔,陈启亮,赵跃堂,等.地下结构抗震研究方法及其现状[J].解放军理工大学学报,2000,1(5):63-69.
[3]Liu Diankui,Gai Bingzheng,Tao Guiyuan.Applications of the method of complex function to dynamic Stress Concentration[J].Wave Motion.1982,5(4):293~304.
[4]Pao YH.Applied mechanics in science and engineering[J].Applied mechanics Review,1998,51(2):141-153.
[5]王艳,刘殿魁.SH波入射时浅埋衬砌结构的动力分析[J].哈尔滨工程大学学报,2002,23(6):43-47.
[6]梁建文,纪晓东,Vincent W Lee.地下圆形衬砌隧道对沿线地震动的影响(I):级数解[J].岩土力学,2005,26(4):521-524.
[7]孙国富,孙国仓,盖京波.浅埋相邻多个圆形衬砌与SH波的相互作用[J].山东建筑工程学院学报,2006,21(1):19-25.
[8]周德良,翁智远.弹性半空间中相邻两结构在SH波作用下的动力响应[J].固体力学学报,1992,13(3):244-248.
[9]齐辉,王艳,刘殿魁.半无限空间界面附近SH波对圆形衬砌的散射[J].地震工程与工程振动,2003,23(3):41-46.
[10]鲍亦兴,毛昭宙.弹性波的衍射与动应力集中[M].刘殿魁,苏先樾译.北京:科学出版社,1993.
[2]于翔,陈启亮,赵跃堂,等.地下结构抗震研究方法及其现状[J].解放军理工大学学报,2000,1(5):63-69.
[3]Liu Diankui,Gai Bingzheng,Tao Guiyuan.Applications of the method of complex function to dynamic Stress Concentration[J].Wave Motion.1982,5(4):293~304.
[4]Pao YH.Applied mechanics in science and engineering[J].Applied mechanics Review,1998,51(2):141-153.
[5]王艳,刘殿魁.SH波入射时浅埋衬砌结构的动力分析[J].哈尔滨工程大学学报,2002,23(6):43-47.
[6]梁建文,纪晓东,Vincent W Lee.地下圆形衬砌隧道对沿线地震动的影响(I):级数解[J].岩土力学,2005,26(4):521-524.
[7]孙国富,孙国仓,盖京波.浅埋相邻多个圆形衬砌与SH波的相互作用[J].山东建筑工程学院学报,2006,21(1):19-25.
[8]周德良,翁智远.弹性半空间中相邻两结构在SH波作用下的动力响应[J].固体力学学报,1992,13(3):244-248.
[9]齐辉,王艳,刘殿魁.半无限空间界面附近SH波对圆形衬砌的散射[J].地震工程与工程振动,2003,23(3):41-46.
[10]鲍亦兴,毛昭宙.弹性波的衍射与动应力集中[M].刘殿魁,苏先樾译.北京:科学出版社,1993.
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