深埋地下洞室群动力时程分析中人工边界的设置
|
摘要
针对深埋地下洞室群动力时程分析中建模范围和人工边界设置问题,基于地下洞室群地震波动场的分布特征,提出一种动力时程分析中洞室群模型人工边界的设置方法。该方法允许模型不建至地表,而采用解析法求解地表反射波动场,并通过人工边界入射至模型。基于波场分离原理,使模型四周边界仅透射外行散射波,保障模型四周边界的计算精度。理论试验和实际工程计算表明,该方法计算精度较高,能满足地下洞室群动力时程计算对人工边界的精度要求,同时有效减少模型单元量,缩短动力时程的求解耗时。
The issues of choosing proper intercepted range of dynamic analysis model and its artificial boundary setting were discussed.Based on the distribution characteristics of seismic wave field of underground caverns,the setting method for artificial boundary used in time history analysis of underground caverns was presented,which allowed the free surface not to be covered by analysis model.The wave field reflected by free surface was calculated using analytical method and then incident into analysis model through artificial boundary.Based on wave field separation principle,artificial boundary surrounding the analysis model could well absorb outgoing scattered wave to guarantee the accuracy of computation.The theoretical test and practical case calculation indicated that the presented method is sufficiently accurate and able to meet the requirements of time history analysis of underground caverns.Meanwhile,the amount of computation can be considerably reduced and the time-consuming is lowered accordingly.
The issues of choosing proper intercepted range of dynamic analysis model and its artificial boundary setting were discussed.Based on the distribution characteristics of seismic wave field of underground caverns,the setting method for artificial boundary used in time history analysis of underground caverns was presented,which allowed the free surface not to be covered by analysis model.The wave field reflected by free surface was calculated using analytical method and then incident into analysis model through artificial boundary.Based on wave field separation principle,artificial boundary surrounding the analysis model could well absorb outgoing scattered wave to guarantee the accuracy of computation.The theoretical test and practical case calculation indicated that the presented method is sufficiently accurate and able to meet the requirements of time history analysis of underground caverns.Meanwhile,the amount of computation can be considerably reduced and the time-consuming is lowered accordingly.
引文
[1]Lysmer J,Kulemeyer R L.Finite dynamic model for infinitemedia[J].Journal of the Engineering Mechanics Division,ASCE,1969,95(4):859-877.
[2]Liao Zhenpeng,Huang Kongliang,Yang Baipo,et al.Trans-mitting boundary of transient wave[J].Science in China:Se-ries A,1984(6):556-564.[廖振鹏,黄孔亮,杨柏坡,等.暂态波透射边界[J].中国科学:A辑,1984(6):556-564.]
[3]吴鸿庆,任侠.结构有限元分析[M].北京:中国铁道出版社,2000.
[4]Hibbitt,Karlsson and Sorensen,Inc.ABAQUS theory manualand analysis user’s manual[R].Pawtucket,USA:Hibbitt,Karlsson and Sorensen,Inc.,2002.
[5]Li Xiaojun,Lu Tao.Explicit finite element analysis of earth-quake response for underground caverns of hydropower sta-tions[J].Journal of Hydroelectric Engineering,2009,28(5):41-46.[李小军,卢滔.水电站地下厂房洞室群地震反应显式有限元分析[J].水力发电学报,2009,28(5):41-46.]
[6]Wang Rubin,Xu Weiya,Shi Chong,et al.Dynamic responseanalysis of rock underground caverns in highly seismic re-gion[J].Chinese Journal of Rock Mechanics and Engineer-ing,2009,28(3):568-575.[王如宾,徐卫亚,石崇,等.高地震烈度区岩体地下洞室动力响应分析[J].岩石力学与工程学报,2009,28(3):568-575.]
[7]Zuo Shuangying,Xiao Ming.3D numerical analysis on non-linear damage seismic response of large underground cavernsof Yingxiuwan hydropower station[J].Journal of Hydroelec-tric Engineering,2009,28(5):127-132.[左双英,肖明.映秀湾水电站大型地下洞室群三维非线性损伤地震响应数值分析[J].水力发电学报,2009,28(5):127-132.]
[8]Zhang Yumin.Study on response characteristics of lager un-derground cavern group under earthquake[D].Wuhan:In-stitute of Rock and Soil Mechanics,Chinese Academy of Sci-ences,2010.[张玉敏.大型地下洞室群地震响应特征研究[D].武汉:中科院岩土所,2010.]
[9]Zhang Zhiguo,Xiao Ming,Zhang Yuting,et al.Dynamic fi-nite element analysis of large-scale complex undergroundcaverns with three-dimensional elastoplastic damage model[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(5):982-989.[张志国,肖明,张雨霆,等.大型地下洞室三维弹塑性损伤动力有限元分析[J].岩石力学与工程学报,2010,29(5):982-989.]
[10]Zhang Zhiguo,Xiao Ming,Chen Juntao.Simulation of earth-quake disaster process of large-scale underground caverns u-sing three-dimensional dynamic finite element method[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(3):509-523.[张志国,肖明,陈俊涛.大型地下洞室地震灾变过程三维动力有限元模拟[J].岩石力学与工程学报,2011,30(3):509-523.]
[11]The National Standards Compilation Group of People’s Re-public of China.GB 17741—2005 Evaluation of seismicsafety for engineering sites[S].Beijing:Standards Press ofChina,2005.[中华人民共和国国家标准编写组.GB17741—2005工程场地地震安全性评价技术规范[S].北京:中国标准出版社,2005.]
[12]Itasca Consulting Group,Inc.FLAC3D users manual(ver-sion 3.0)[R].Minneapolis,USA:Itasca Consulting Group,Inc.,2005.
[13]Xu Haibin,Du Xiuli,Zhao Mi,et al.Effect of oblique inci-dence of seismic waves on seismic responses of high archdam[J].Journal of Hydroelectric Engineering,2011,30(6):159-165.[徐海滨,杜修力,赵密,等.地震波斜入射对高拱坝地震反应的影响[J].水力发电学报,2011,30(6):159-165.]
[2]Liao Zhenpeng,Huang Kongliang,Yang Baipo,et al.Trans-mitting boundary of transient wave[J].Science in China:Se-ries A,1984(6):556-564.[廖振鹏,黄孔亮,杨柏坡,等.暂态波透射边界[J].中国科学:A辑,1984(6):556-564.]
[3]吴鸿庆,任侠.结构有限元分析[M].北京:中国铁道出版社,2000.
[4]Hibbitt,Karlsson and Sorensen,Inc.ABAQUS theory manualand analysis user’s manual[R].Pawtucket,USA:Hibbitt,Karlsson and Sorensen,Inc.,2002.
[5]Li Xiaojun,Lu Tao.Explicit finite element analysis of earth-quake response for underground caverns of hydropower sta-tions[J].Journal of Hydroelectric Engineering,2009,28(5):41-46.[李小军,卢滔.水电站地下厂房洞室群地震反应显式有限元分析[J].水力发电学报,2009,28(5):41-46.]
[6]Wang Rubin,Xu Weiya,Shi Chong,et al.Dynamic responseanalysis of rock underground caverns in highly seismic re-gion[J].Chinese Journal of Rock Mechanics and Engineer-ing,2009,28(3):568-575.[王如宾,徐卫亚,石崇,等.高地震烈度区岩体地下洞室动力响应分析[J].岩石力学与工程学报,2009,28(3):568-575.]
[7]Zuo Shuangying,Xiao Ming.3D numerical analysis on non-linear damage seismic response of large underground cavernsof Yingxiuwan hydropower station[J].Journal of Hydroelec-tric Engineering,2009,28(5):127-132.[左双英,肖明.映秀湾水电站大型地下洞室群三维非线性损伤地震响应数值分析[J].水力发电学报,2009,28(5):127-132.]
[8]Zhang Yumin.Study on response characteristics of lager un-derground cavern group under earthquake[D].Wuhan:In-stitute of Rock and Soil Mechanics,Chinese Academy of Sci-ences,2010.[张玉敏.大型地下洞室群地震响应特征研究[D].武汉:中科院岩土所,2010.]
[9]Zhang Zhiguo,Xiao Ming,Zhang Yuting,et al.Dynamic fi-nite element analysis of large-scale complex undergroundcaverns with three-dimensional elastoplastic damage model[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(5):982-989.[张志国,肖明,张雨霆,等.大型地下洞室三维弹塑性损伤动力有限元分析[J].岩石力学与工程学报,2010,29(5):982-989.]
[10]Zhang Zhiguo,Xiao Ming,Chen Juntao.Simulation of earth-quake disaster process of large-scale underground caverns u-sing three-dimensional dynamic finite element method[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(3):509-523.[张志国,肖明,陈俊涛.大型地下洞室地震灾变过程三维动力有限元模拟[J].岩石力学与工程学报,2011,30(3):509-523.]
[11]The National Standards Compilation Group of People’s Re-public of China.GB 17741—2005 Evaluation of seismicsafety for engineering sites[S].Beijing:Standards Press ofChina,2005.[中华人民共和国国家标准编写组.GB17741—2005工程场地地震安全性评价技术规范[S].北京:中国标准出版社,2005.]
[12]Itasca Consulting Group,Inc.FLAC3D users manual(ver-sion 3.0)[R].Minneapolis,USA:Itasca Consulting Group,Inc.,2005.
[13]Xu Haibin,Du Xiuli,Zhao Mi,et al.Effect of oblique inci-dence of seismic waves on seismic responses of high archdam[J].Journal of Hydroelectric Engineering,2011,30(6):159-165.[徐海滨,杜修力,赵密,等.地震波斜入射对高拱坝地震反应的影响[J].水力发电学报,2011,30(6):159-165.]
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