P波作用下埋地管道的相互作用动力分析
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摘要
建立了波动理论计算公式,给出了地下管道在平面P波作用下动力响应问题的解析近似解答。对地下多管道体系的动力相互作用进行了分析。结果表明:当埋地管道之间的距离较近时,管道之间的波往复反射作用增强,相互作用明显,动应力集中具有显著的放大效应;随着管道中心距离的增加,动应力集中峰值振荡逐渐平稳;当中心距达到约100倍的管道内径时,相互作用消失,结果退化为单个管道的结果。
Dynamic responses of underground pipes were analyzed by wave theory formula.The analytical solution was obtained to study the interaction between pipes impacted by incident P-waves.It is shown from the computed results that the peak values of dynamic stress concentration are magnified greatly at close distances by to-and-fro wave reflections and calm down with farther distances of pipes.When the center distances are greater than nearly 100 times the inner radius of the pipe,the interaction between pipes is disappeared and the results degenerate to single pipe.
Dynamic responses of underground pipes were analyzed by wave theory formula.The analytical solution was obtained to study the interaction between pipes impacted by incident P-waves.It is shown from the computed results that the peak values of dynamic stress concentration are magnified greatly at close distances by to-and-fro wave reflections and calm down with farther distances of pipes.When the center distances are greater than nearly 100 times the inner radius of the pipe,the interaction between pipes is disappeared and the results degenerate to single pipe.
引文
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[2]Pao Y H,Mow C C.Diffraction of elastic waves and dynamics Stress Concentrations[M].New York:Crane,Russak&Company Inc.,1973.
[3]Cao H,Lee V W.Scattering and diffraction of plane p-waves by circular cylindrical canyons with variable depth-to-width ratio[J].Soil Dy-namics and Earthquake Engineering,1990,9(3):141-150.
[4]Lee V W,Karl J.On deformations of near a circular underground cavity subjected to incident plane P waves[J].European Journal of EarthquakeEngineering,1993(1):29-36.
[5]Davis C A,Lee V,Bardet J P.Transverse response of underground cavities and pipes to incident SVwaves[J].Earthquake Engineering and Struc-tural Dynamics,2001(30):383-410.
[6]纪晓东,梁建文,杨建江.地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解[J].天津大学学报,2006,39(5):511-517.
[7]梁建文,张浩,Lee V W.平面P波入射下地下洞室群动应力集中问题解析解[J].岩土工程学报,2004,26(6):815-819.
[8]梁建文,张浩,Lee V W.地下双洞室在SV波入射下动力响应问题解析解[J].振动工程学报,2004,17(2):132-140.
[9]房营光,孙钧.冲击环境下非线性岩土与相邻多个结构的相互作用[J].地震工程与工程振动,1993,13(2):38-47.
[2]Pao Y H,Mow C C.Diffraction of elastic waves and dynamics Stress Concentrations[M].New York:Crane,Russak&Company Inc.,1973.
[3]Cao H,Lee V W.Scattering and diffraction of plane p-waves by circular cylindrical canyons with variable depth-to-width ratio[J].Soil Dy-namics and Earthquake Engineering,1990,9(3):141-150.
[4]Lee V W,Karl J.On deformations of near a circular underground cavity subjected to incident plane P waves[J].European Journal of EarthquakeEngineering,1993(1):29-36.
[5]Davis C A,Lee V,Bardet J P.Transverse response of underground cavities and pipes to incident SVwaves[J].Earthquake Engineering and Struc-tural Dynamics,2001(30):383-410.
[6]纪晓东,梁建文,杨建江.地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解[J].天津大学学报,2006,39(5):511-517.
[7]梁建文,张浩,Lee V W.平面P波入射下地下洞室群动应力集中问题解析解[J].岩土工程学报,2004,26(6):815-819.
[8]梁建文,张浩,Lee V W.地下双洞室在SV波入射下动力响应问题解析解[J].振动工程学报,2004,17(2):132-140.
[9]房营光,孙钧.冲击环境下非线性岩土与相邻多个结构的相互作用[J].地震工程与工程振动,1993,13(2):38-47.
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