地下结构波动法与振动法的对比
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摘要
介绍了波动法和振动法的计算原理和使用方法,用这两种方法计算人工地震波,分析两种方法的区别。结果表明:波动法和振动法的计算数值和变化规律基本一致;波动法可以反映波动传播的时间效应,振动法不能反映波动传播的时间效应,但振动法计算步骤简便,精度可以满足要求;建议在地下结构动力分析中使用振动法。
Calculation theories and methods are introduced respectively in this paper;artificial seismic wave was calculated by wave method and vibration method respectively and the difference of these two methods has been analyzed.The analytical results indicate that: the calculating values and changing rules of wave method and vibration method are almost accordant;the wave method can reflect the time effects for the transition of wave while the vibration method cannot;the vibration method has the following advantages: its calculating steps are simple;its calculating precision can meet the needs.Therefore,vibration method is suggested to be used for the dynamical analysis of underground structure.
Calculation theories and methods are introduced respectively in this paper;artificial seismic wave was calculated by wave method and vibration method respectively and the difference of these two methods has been analyzed.The analytical results indicate that: the calculating values and changing rules of wave method and vibration method are almost accordant;the wave method can reflect the time effects for the transition of wave while the vibration method cannot;the vibration method has the following advantages: its calculating steps are simple;its calculating precision can meet the needs.Therefore,vibration method is suggested to be used for the dynamical analysis of underground structure.
引文
[1]严松宏.地下结构随机地震响应分析及其动力可靠度研究[D].成都:西南交通大学,2003.
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[5]姜艳,黄荣富,刘殿魁,等.SH波在浅埋多个圆孔处的散射与地震动[J].地震工程与工程振动,2004,24(1):7-14.Jiang Yan,Huang Rongfu,Liu Diankui,et al.Scattering of SH-waveby shallow fill multiple circular cavities and the ground motion[J].Earthquake Engineering and Engineering Vibration,2004,24(1):7-14.
[6]刘晶波,王振宇,杜修力,等.波动问题中的三维时域黏弹性人工边界[J].工程力学,2005,22(6):46-51.Liu Jingbo,Wang Zhenyu,Du Xiuli,et al.There-dimensional visco-elastic artifical boundaries in time domain for wave motion problems[J].Engineering Mechanics,2005,22(6):46-51.
[7]潘旦光,楼梦麟,董聪.P、SV波作用下层状土层随机波动分析[J].工程力学,2006,23(2):66-71.Pan Danguang,Lou Menglin,Dong Cong.Random Wave-theory a-nalysis of layered soil sites under P-and SV-wave excitations[J].Engineering Mechanics,2006,23(2):66-71.
[8]黄胜,陈卫忠,伍国军,等.地下工程抗震分析中地震动输入方法研究[J].岩石力学与工程学报,2010,29(6):1254-1262.Huang Sheng,Chen Weizhong,Wu Guojun,et al.Research on seis-mic wave input with three-dimensional viscoelastic artificial bound-ary[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(6):1254-1262.
[9]李辉,刘立平,赖明.基于地面地震反应输入的自由场地震反应分析[J].四川建筑科学研究,2004,30(3):94-97.Li Hui,Hiu Liping,Lai Ming.The analytical model of free fieldground action as the inputing strong motion record getting from thesurface[J].Sichuan Building Science,2004,30(3):94-97.
[10]刘如山,胡少卿,石宏彬.地下结构抗震计算中拟静力法的地震荷载施加方法研究[J].岩土工程学报,2007,29(2):237-242.Liu Rushan,Hu Shaoqing,Shi Hongbin.Study on seismic loading ofpseudo-static approach used in the seismicdesign of undergroundstructure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237-242.
[11]胡世丽,李贵荣.振动力学和波动力学的讨论[J].采矿技术,2010(7):115-116.Hu Shili,Li Guirong.Discussion of vibration mechanics and wavemechanics[J].Mining Technology,2010(7):115-116.
[12]St john C M,Zahrah T F.Aseismic design of underground struc-tures[J].Tunnelling and Underground Space Technology,1987,2(2):165-197.
[13]吕斌,李杰.确定性波动输入条件下的地震动场数值模拟[J].工程力学,2002,19(增刊1):74-79.Lv Bing,Li Jie.Numerical simulation for seismic field at the condi-tion of inputting earthquake ensurely[J].Engineering Mechanics,2002,19(supp1):74-79.
[14]廖振鹏.工程波动理论导论[M].北京:科学出版社,2004:5-10.
[15]吕彦东.结构-地基动力相互作用分析方法的研究[D].北京:清华大学,1997.
[16]胡聿贤.地震工程学[M].北京:地震出版社,1988:129-160.
[17]克拉夫.结构动力学[M].王光远,译.北京:科学出版社,1981:362-363.
[18]陈伯望,孟茁超.结构地震反应分析方法的对比研究[J].湖南城市学院学报,2003,24(6):6-9.Chen Bowang,Meng Zhuochao.Comparative study of analyticalmethods of seismic reaction of structure[J].Journal of Hunan CityUniversity,2003,24(6):6-9.
[2][美]Pao Y H,Mow C C.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,1993:39-78.
[3]Lee V W,Karl J.On deformations near a circular underground cav-ity subjected to incident plane P waves[J].European EarthquakeEngineering,1993,7(1):29-36.
[4]梁建文,张郁山,顾晓鲁.圆弧形层状沉积河谷场地在平面SH波入射下动力响应分析[J].岩土工程学报,2000,22(4):396-401.Liang Jianwen,Zhang Yushan,Gu Xiaolu.Surface motion of circu-lar-arc layered alluvial valleys for incident plane SH waves[J].Chinese Journal of Geotechnical Engineering,2000,22(4):396-401.
[5]姜艳,黄荣富,刘殿魁,等.SH波在浅埋多个圆孔处的散射与地震动[J].地震工程与工程振动,2004,24(1):7-14.Jiang Yan,Huang Rongfu,Liu Diankui,et al.Scattering of SH-waveby shallow fill multiple circular cavities and the ground motion[J].Earthquake Engineering and Engineering Vibration,2004,24(1):7-14.
[6]刘晶波,王振宇,杜修力,等.波动问题中的三维时域黏弹性人工边界[J].工程力学,2005,22(6):46-51.Liu Jingbo,Wang Zhenyu,Du Xiuli,et al.There-dimensional visco-elastic artifical boundaries in time domain for wave motion problems[J].Engineering Mechanics,2005,22(6):46-51.
[7]潘旦光,楼梦麟,董聪.P、SV波作用下层状土层随机波动分析[J].工程力学,2006,23(2):66-71.Pan Danguang,Lou Menglin,Dong Cong.Random Wave-theory a-nalysis of layered soil sites under P-and SV-wave excitations[J].Engineering Mechanics,2006,23(2):66-71.
[8]黄胜,陈卫忠,伍国军,等.地下工程抗震分析中地震动输入方法研究[J].岩石力学与工程学报,2010,29(6):1254-1262.Huang Sheng,Chen Weizhong,Wu Guojun,et al.Research on seis-mic wave input with three-dimensional viscoelastic artificial bound-ary[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(6):1254-1262.
[9]李辉,刘立平,赖明.基于地面地震反应输入的自由场地震反应分析[J].四川建筑科学研究,2004,30(3):94-97.Li Hui,Hiu Liping,Lai Ming.The analytical model of free fieldground action as the inputing strong motion record getting from thesurface[J].Sichuan Building Science,2004,30(3):94-97.
[10]刘如山,胡少卿,石宏彬.地下结构抗震计算中拟静力法的地震荷载施加方法研究[J].岩土工程学报,2007,29(2):237-242.Liu Rushan,Hu Shaoqing,Shi Hongbin.Study on seismic loading ofpseudo-static approach used in the seismicdesign of undergroundstructure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237-242.
[11]胡世丽,李贵荣.振动力学和波动力学的讨论[J].采矿技术,2010(7):115-116.Hu Shili,Li Guirong.Discussion of vibration mechanics and wavemechanics[J].Mining Technology,2010(7):115-116.
[12]St john C M,Zahrah T F.Aseismic design of underground struc-tures[J].Tunnelling and Underground Space Technology,1987,2(2):165-197.
[13]吕斌,李杰.确定性波动输入条件下的地震动场数值模拟[J].工程力学,2002,19(增刊1):74-79.Lv Bing,Li Jie.Numerical simulation for seismic field at the condi-tion of inputting earthquake ensurely[J].Engineering Mechanics,2002,19(supp1):74-79.
[14]廖振鹏.工程波动理论导论[M].北京:科学出版社,2004:5-10.
[15]吕彦东.结构-地基动力相互作用分析方法的研究[D].北京:清华大学,1997.
[16]胡聿贤.地震工程学[M].北京:地震出版社,1988:129-160.
[17]克拉夫.结构动力学[M].王光远,译.北京:科学出版社,1981:362-363.
[18]陈伯望,孟茁超.结构地震反应分析方法的对比研究[J].湖南城市学院学报,2003,24(6):6-9.Chen Bowang,Meng Zhuochao.Comparative study of analyticalmethods of seismic reaction of structure[J].Journal of Hunan CityUniversity,2003,24(6):6-9.
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