半空间饱和土中输水管道对瑞利波的散射
|
摘要
根据Biot波动理论和弹性波传播理论,采用复变函数理论,研究了饱和半空间中输水管道对入射瑞利波作用的散射问题,得出了饱和土中输水管道在不同条件下管道周边的动应力集中系数分布和变化情况。研究结果表明:管道埋深对其散射效应影响明显,随着管道埋深的增加,输水管道周边动应力集中系数显著减小,其影响深度大约为1.5倍瑞利波波长;随着入射瑞利波频率增加,输水管道周边动应力集中系数最大值逐渐减小,同时,输水管道周边动应力集中系数与无水管道周边动应力集中系数存在一定差异,并且这种差异随着入射瑞利波频率增加而变得明显;输水管道的刚度和厚度对入射瑞利波的散射有一定影响,增加管道的厚度、减小管道的刚度有利于减少管道周边的动应力集中系数。
Based on the Biot wave theory and elastic wave theory and by using combined the complex function method,the scattering of underground water-filled pipe in half saturated space impacted by Rayleigh waves was studied and the variation of the dynamic stress concentration factors at boundaries of the water-filled pipe was discussed with different conditions.The results showed that,the influence of the pipe buried depth on the dynamic response is apparent,and with the increase of buried depth of pipeline,the dynamic stress concentration factor of the pipe decreases.The effect depth is about 1.5 times the Rayleigh wave wavelength.As the incident Rayleigh wave frequency added,the maximum of dynamic stress concentration factor decreases gradually.At the same time,the dynamic stress concentration factor distribution of water-filled pipe and empty pipe have some differences,and with the increase of incident Rayleigh wave frequency this difference becomes apparent.The stiffness and thickness of the water-filled pipe on the incident Rayleigh wave scattering has certain effect,and the increase of the pipe thickness and decrease of the pipe stiffness is beneficial to reducing the dynamic stress concentration factor.
Based on the Biot wave theory and elastic wave theory and by using combined the complex function method,the scattering of underground water-filled pipe in half saturated space impacted by Rayleigh waves was studied and the variation of the dynamic stress concentration factors at boundaries of the water-filled pipe was discussed with different conditions.The results showed that,the influence of the pipe buried depth on the dynamic response is apparent,and with the increase of buried depth of pipeline,the dynamic stress concentration factor of the pipe decreases.The effect depth is about 1.5 times the Rayleigh wave wavelength.As the incident Rayleigh wave frequency added,the maximum of dynamic stress concentration factor decreases gradually.At the same time,the dynamic stress concentration factor distribution of water-filled pipe and empty pipe have some differences,and with the increase of incident Rayleigh wave frequency this difference becomes apparent.The stiffness and thickness of the water-filled pipe on the incident Rayleigh wave scattering has certain effect,and the increase of the pipe thickness and decrease of the pipe stiffness is beneficial to reducing the dynamic stress concentration factor.
引文
[1]Yue Qingxia,Li Jie.Response analysis of utility tunnel inearthquake of approximate Rayleigh waves[J].Journal ofDisaster Prevention and Mitigation Engineering,2008,25(4):409-416.[岳庆霞,李杰.近似Rayleigh地震波作用下地下综合管廊响应分析[J].防灾减灾工程学报,2008,25(4):409-416.]
[2]Wang Tiecheng,Wang Hui.Dynamic analysis of interactiveunderground pipes impacted by P-waves[J].Journal ofEarthquake Engineering and Engineering Vibration,2009,29(4):155-163.[王铁成,王卉.P波作用下埋地管道的相互作用动力分析[J].地震工程与工程振动,2009,29(4):155-163.]
[3]Liang Jianwen,Ji Xiaodong,Lee V W.Effects of an under-ground lined tunnel on ground motion(II):Numerical results[J].Rock and Soil Mechanics,2005,26(5):687-692.[梁建文,纪晓东,Lee V W.地下圆形衬砌隧道对沿线地震动的影响(II):数值结果[J].岩土力学,2005,26(5):687-692.]
[4]Liang Jianwen,Ji Xiaodong.Amplification of Rayleigh wavesdue to underground lined cavities[J].Earthquake Engineer-ing and Engineering Vibration,2006,26(4):24-31.[梁建文,纪晓东.地下衬砌洞室对Rayleigh波的放大作用[J].地震工程与工程振动,2006,26(4):24-31.]
[5]Shi Wenpu,Liu Diankui,Lin Hong,et al.Scattering of stead-y P-wave around a circular lining in half space[J].Earth-quake Engineering and Engineering Vibration,2002,22(3):19-26.[史文谱,刘殿魁,林宏,等.半无限空间中稳态P波在衬砌周围的散射[J].地震工程与工程振动,2002,22(3):19-26.]
[6]Jiang Lingfa,Wang Jianhua,Zhou Xianglian.Scattering ofsteady shear waves around a circular cavity in half-space ofsaturated soil[J].Chinese Journal of Geotechnical Engineer-ing,2007,29(3):366-371.[姜领发,王建华,周香莲.半空间饱和土中的圆形孔洞对稳态剪切波的散射[J].岩土工程学报,2007,29(3):366-371.]
[7]Wang J H,Zhou X L,Lu J F.Dynamic stress concentrationaround elliptic cavities in saturated poroelastic soil underharmonic plane waves[J].International Journal of solids andStructures,2005,42:4295-4310.
[8]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solidⅠ:Low frequency range[J].Journalof the Acoustical Society of America,1956,28:168-178.
[9]鲍亦兴,毛昭宙.弹性波的衍射与动应力集中[M].北京:科学出版社,1993.
[10]Xia Tangdai,Yan Kezhen,Sun Mingyu.Propagation of Ray-leigh wave in saturated soil layer[J].Journal of HydraulicEngineering,2004,24(11):81-85.[夏唐代,颜可珍,孙鸣宇.饱和土层中瑞利波的传播特性[J].水利学报,2004,24(11):81-85.]
[11]Liu Zhongxian,Liang Jianwen,Zhang He.Scattering ofplane P and SV waves by a lined tunnel in elastic half space(II):Numerical results[J].Journal of Natural Disasters,2010,19(4):77-88.[刘中宪,梁建文,张贺.弹性半空间中衬砌洞室对平面P波和SV波的散射(II):数值结果[J].自然灾害学报,2010,19(4):77-88.]
[2]Wang Tiecheng,Wang Hui.Dynamic analysis of interactiveunderground pipes impacted by P-waves[J].Journal ofEarthquake Engineering and Engineering Vibration,2009,29(4):155-163.[王铁成,王卉.P波作用下埋地管道的相互作用动力分析[J].地震工程与工程振动,2009,29(4):155-163.]
[3]Liang Jianwen,Ji Xiaodong,Lee V W.Effects of an under-ground lined tunnel on ground motion(II):Numerical results[J].Rock and Soil Mechanics,2005,26(5):687-692.[梁建文,纪晓东,Lee V W.地下圆形衬砌隧道对沿线地震动的影响(II):数值结果[J].岩土力学,2005,26(5):687-692.]
[4]Liang Jianwen,Ji Xiaodong.Amplification of Rayleigh wavesdue to underground lined cavities[J].Earthquake Engineer-ing and Engineering Vibration,2006,26(4):24-31.[梁建文,纪晓东.地下衬砌洞室对Rayleigh波的放大作用[J].地震工程与工程振动,2006,26(4):24-31.]
[5]Shi Wenpu,Liu Diankui,Lin Hong,et al.Scattering of stead-y P-wave around a circular lining in half space[J].Earth-quake Engineering and Engineering Vibration,2002,22(3):19-26.[史文谱,刘殿魁,林宏,等.半无限空间中稳态P波在衬砌周围的散射[J].地震工程与工程振动,2002,22(3):19-26.]
[6]Jiang Lingfa,Wang Jianhua,Zhou Xianglian.Scattering ofsteady shear waves around a circular cavity in half-space ofsaturated soil[J].Chinese Journal of Geotechnical Engineer-ing,2007,29(3):366-371.[姜领发,王建华,周香莲.半空间饱和土中的圆形孔洞对稳态剪切波的散射[J].岩土工程学报,2007,29(3):366-371.]
[7]Wang J H,Zhou X L,Lu J F.Dynamic stress concentrationaround elliptic cavities in saturated poroelastic soil underharmonic plane waves[J].International Journal of solids andStructures,2005,42:4295-4310.
[8]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solidⅠ:Low frequency range[J].Journalof the Acoustical Society of America,1956,28:168-178.
[9]鲍亦兴,毛昭宙.弹性波的衍射与动应力集中[M].北京:科学出版社,1993.
[10]Xia Tangdai,Yan Kezhen,Sun Mingyu.Propagation of Ray-leigh wave in saturated soil layer[J].Journal of HydraulicEngineering,2004,24(11):81-85.[夏唐代,颜可珍,孙鸣宇.饱和土层中瑞利波的传播特性[J].水利学报,2004,24(11):81-85.]
[11]Liu Zhongxian,Liang Jianwen,Zhang He.Scattering ofplane P and SV waves by a lined tunnel in elastic half space(II):Numerical results[J].Journal of Natural Disasters,2010,19(4):77-88.[刘中宪,梁建文,张贺.弹性半空间中衬砌洞室对平面P波和SV波的散射(II):数值结果[J].自然灾害学报,2010,19(4):77-88.]
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心