衬砌洞室群在平面SV波多角度入射下动应力集中问题研究
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摘要
采用波函数展开法给出了半空间中衬砌洞室群在平面SV波入射下动应力集中问题的一个级数解析解。在满足一定的精度要求下,对无穷级数进行截断数值计算。衬砌分为刚性衬砌、无衬砌、柔性衬砌3种。计算结果表明:不同的入射角度对动应力集中系数具有重要的影响;洞室间距对动应力集中系数也有重要影响,当洞室之间距离较近时,洞室之间的相互作用对地下洞室群的动应力集中具有显著的放大作用;衬砌刚度对动应力集中问题也具有显著的影响,其中,刚性衬砌的动应力集中系数最大,无衬砌次之,柔性衬砌最小。
An analytical series solution for dynamic stress concentration of lined cavities in a half space under incident plane SV waves was given by using wave function expansion method.The infinite series was cut and calculated under the required precision.The linings include rigid lining,unlined cavities and flexible lining.The numerical result shows that(1) incident angle has great effect on the dynamic stress concentration coefficient;(2) the distance between two cavities has great effect on the dynamic stress concentration coefficient too,and the interaction between two cavities can greatly amplify the dynamic stress concentration when the distance between cavities is closer;(3)the rigidity of lining also has great effect on the dynamic stress concentration which is highest for the rigid lining,second for unlined cavities and lowest for the flexible lining.
An analytical series solution for dynamic stress concentration of lined cavities in a half space under incident plane SV waves was given by using wave function expansion method.The infinite series was cut and calculated under the required precision.The linings include rigid lining,unlined cavities and flexible lining.The numerical result shows that(1) incident angle has great effect on the dynamic stress concentration coefficient;(2) the distance between two cavities has great effect on the dynamic stress concentration coefficient too,and the interaction between two cavities can greatly amplify the dynamic stress concentration when the distance between cavities is closer;(3)the rigidity of lining also has great effect on the dynamic stress concentration which is highest for the rigid lining,second for unlined cavities and lowest for the flexible lining.
引文
[1]DOWDING C D,ROZAN A.Damage to Rock Tunnels fromEarthquake Shaking[J].Journal of Geotechnical Engineer-ing,1978,104:175-191.
[2]郑永来,杨林德.地下结构震害与抗震对策[J].工程抗震,1999(4):23-28.ZHENG Yonglai,YANG Linde.The Underground Seismic Dam-age and Aseismic Measures[J].Earthquake Resistant Engineer-ing,1999(4):23-28.
[3]朱永全.109号隧道地震灾害与加固处理的思考[J].国防交通工程与技术,2008(4):1-4.ZHU Yongquan.Our Reflection on the Earthquake Damage tothe No.109 Tunnel and Our Consolidating Treatment[J].Traffic Engineering and Technology for National Defence,2008(4):1-4.
[4]张晟,王朝贵.宝成线109号隧道震害抢险加固[J].铁道建筑,2008(12):55-56.ZHANG Cheng,WANG Chaogui.The Consolidating Treatmentfor No.109 Tunnel of Baocheng Railway[J].Railway Con-struction,2008(12):55-56.
[5]PAO Y H,MOW C C.Diffraction of Elastic Waves and Dy-namic Stress Concentrations[M].New York:Crane,Rus-sak&Company Inc.,1973.
[6]LEE V W,TRIFUNAC M D.Response of Tunnels to IncidentSH-wave[J].Journal of the Engineering Mechanics Division,1979,105(4):643-659.
[7]DATTA S K,SHAH A H.Scattering of SH-wave by Embed-ded Cavities[J].Wave Motion,1982(4):265-283.
[8]SHAH A H,WONG K C,DATTA S K.Diffraction of PlaneSH-wave in a Half Space[J].Earthquake Engineering andStructural Dynamics,1982(10):519-528.
[9]BALENDRA T,THAMBIRATNAM D P,CHAN G K,et al.Dynamic response of twin circular tunnels due to incident SH-wave[J].Earthquake Engineering and Structural Dynamics,1984(12):181-201.
[10]LEE V W,CAO H.Diffraction of SV Wave by Circular Cylin-drical Canyons of Various Depths[J].Journal of the Engi-neering Mechanics Division,1989,115(9):2035-2056.
[11]LEE V W,KARL J.Diffraction of SV Wave by Underground,Circular,Cylindrical Cavities[J].Soil Dynamics and Earth-quake Engineering,1992(11):445-456.
[12]DAVIS C A,LEE V W,BARDET J P.Transverse Responseof Underground Cavities and Pipes to Incident SV Waves[J].Earthquake Engineering and Structural Dynamics,2001(30):383-410.
[13]LUCO J E,WONG H L,BARRORS F C P.Three-dimen-sional Response of a Cylindrical Canyon in a Layered Half-space[J].Earthquake Engineering and Structural Dynamics,1990,19:799-817.
[14]LUCO J E,BARRORS F C P.Dynamic Displacements andStresses in the Vicinity of a Cylindrical Cavity Embedded in aHalf-space[J].Earthquake Engineering and Structural Dy-namics,1994,23:321-340.
[15]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.LIANG Jianwen,ZHANG Hao,LEE V W.An Analytical So-lution for Dynamic Stress Concentration of Underground TwinCavities due to Incident SV Waves[J].Journal of VibrationEngineering,2004,17(2):132-140.
[2]郑永来,杨林德.地下结构震害与抗震对策[J].工程抗震,1999(4):23-28.ZHENG Yonglai,YANG Linde.The Underground Seismic Dam-age and Aseismic Measures[J].Earthquake Resistant Engineer-ing,1999(4):23-28.
[3]朱永全.109号隧道地震灾害与加固处理的思考[J].国防交通工程与技术,2008(4):1-4.ZHU Yongquan.Our Reflection on the Earthquake Damage tothe No.109 Tunnel and Our Consolidating Treatment[J].Traffic Engineering and Technology for National Defence,2008(4):1-4.
[4]张晟,王朝贵.宝成线109号隧道震害抢险加固[J].铁道建筑,2008(12):55-56.ZHANG Cheng,WANG Chaogui.The Consolidating Treatmentfor No.109 Tunnel of Baocheng Railway[J].Railway Con-struction,2008(12):55-56.
[5]PAO Y H,MOW C C.Diffraction of Elastic Waves and Dy-namic Stress Concentrations[M].New York:Crane,Rus-sak&Company Inc.,1973.
[6]LEE V W,TRIFUNAC M D.Response of Tunnels to IncidentSH-wave[J].Journal of the Engineering Mechanics Division,1979,105(4):643-659.
[7]DATTA S K,SHAH A H.Scattering of SH-wave by Embed-ded Cavities[J].Wave Motion,1982(4):265-283.
[8]SHAH A H,WONG K C,DATTA S K.Diffraction of PlaneSH-wave in a Half Space[J].Earthquake Engineering andStructural Dynamics,1982(10):519-528.
[9]BALENDRA T,THAMBIRATNAM D P,CHAN G K,et al.Dynamic response of twin circular tunnels due to incident SH-wave[J].Earthquake Engineering and Structural Dynamics,1984(12):181-201.
[10]LEE V W,CAO H.Diffraction of SV Wave by Circular Cylin-drical Canyons of Various Depths[J].Journal of the Engi-neering Mechanics Division,1989,115(9):2035-2056.
[11]LEE V W,KARL J.Diffraction of SV Wave by Underground,Circular,Cylindrical Cavities[J].Soil Dynamics and Earth-quake Engineering,1992(11):445-456.
[12]DAVIS C A,LEE V W,BARDET J P.Transverse Responseof Underground Cavities and Pipes to Incident SV Waves[J].Earthquake Engineering and Structural Dynamics,2001(30):383-410.
[13]LUCO J E,WONG H L,BARRORS F C P.Three-dimen-sional Response of a Cylindrical Canyon in a Layered Half-space[J].Earthquake Engineering and Structural Dynamics,1990,19:799-817.
[14]LUCO J E,BARRORS F C P.Dynamic Displacements andStresses in the Vicinity of a Cylindrical Cavity Embedded in aHalf-space[J].Earthquake Engineering and Structural Dy-namics,1994,23:321-340.
[15]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.LIANG Jianwen,ZHANG Hao,LEE V W.An Analytical So-lution for Dynamic Stress Concentration of Underground TwinCavities due to Incident SV Waves[J].Journal of VibrationEngineering,2004,17(2):132-140.
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