倾斜入射地震波作用下成层场地动力反应的界面子波算法

范留明; 赵钦; 刘云贺

doi:10.11779/CJGE201504004

倾斜入射地震波作用下成层场地动力反应的界面子波算法 English Version

范留明^{1, 2},
赵钦¹,
刘云贺¹

1. 西安理工大学土木建筑工程学院,陕西西安 710048; 2. 陕西省黄土力学与工程重点实验室,陕西西安 710048

基金项目: 国家自然科学基金项目（51179154）; 陕西高校省级重点实验室重点科研计划项目（2010JS085）; 高等学校博士学科点专项科研基金项目（20126118110014）

详细信息

作者简介:
范留明(1968- ),男,河南焦作人,博士,教授,主要从事岩土工程抗震方面的研究工作。E-mail: fanliuming@xaut.edu.cn。

计量
- 文章访问数: 310
- HTML全文浏览量: 2
- PDF下载量: 304
出版历程
- 收稿日期: 2014-07-06
- 发布日期: 2015-05-05

Interfacial wavelet algorithm for dynamic response of horizontal layered site due to inclined seismic waves

1. College of Civil Engineering and Architecture, Xi'an University of Technology, Xi'an 710048, China; 2. Shaanxi Provincial Key Laboratory of Loess Mechanics and Engineering, Xi'an 710048, China

摘要

摘要: 为提高成层半空间自由波场的一维化时域方法的计算效率和精度,分析了SH波在层状介质中的传播方式、旅行时间和反射系数等问题,基于惠更斯-菲涅耳波动观点,将波阻抗界面看作次级子波源（简称为界面子波）,提出了倾斜入射地震波作用下成层场地动力反应的界面子波算法,并通过模型试算验证了此方法的正确性。与常规数值法相比,此方法无需划分网络单元,也无需处理人工边界条件,从而极大地减少了计算工作量和节点之间的传递误差,具有速度快、精度高、稳定性好等特点,是一种计算成层场地动力反应的实用方法。
- 倾斜入射 /
- 成层场地 /
- 动力反应 /
- 界面子波 /
- 延时方程
Abstract: Some properties of SH waves in layered media are analyzed such as propagating path, reflecting cofficent and travelling time in order to improve the accuracy and efficiency of 1-D finite element method dealing with seismic response problem of horizontal layered site for inclined SH waves in time domain. Based on the Huygens wave principle, impedance interfaces are regarded as the secondary sources or wavelet sources, which are called interfacial wavelets. The relation between interfacial wavelets can be expressed as a group of time delay equations, and the motion of interfaces can be obtained by solving the time delay equations. The earthquake motion can be ascertained from surface wavelets. The new method is called an interfacial wavelet algorithm and demonstrated by two corresponding numerical models. When using this method, mesh divisions and artificial boundary conditions need no treatment so that computing amount and transmission errors between nodes are reduced greatly. It is very fit to solve seismic response in layered media.
- oblique incidence /
- horizontal layered site /
- dynamic response /
- interfacial wavelet /
- time delay equation

HTML全文

参考文献(18)

[1]	JIN Xing, LIAO Zhen-peng. Statistical research on S-wave incident angle[J]. Annuals of Disas Prev Res Inst, 1997, 40: 91-97.
[2]	TAKAHIRO S, KAZUHIKO K. Estimation of earthquake motion incident angle at rock site[C]// Proceedings of 12th World Conference Earthquake Engineering. New Zealand, 2000: 956.
[3]	刘晶波, 王艳. 成层半空间出平面自由波场的一维化时域算法[J]. 力学学报, 2006, 38(2): 219-225. (LIU Jing-bo, WANG Yan. A 1-D time-domain method for 2-D wave motion in elastic layered half-space by antiplane wave oblique incidence[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 219-225. (in Chinese))
[4]	赵密, 杜修力, 刘晶波, 等．P-SV波斜入射时成层半空间自由场的时域算法[J]. 地震工程学报, 2013, 35(1): 84-90. (ZHAO Mi, DU XIU-li, LIU Jing-bo, et al. Time-domain method for free field in layered half space under P-SV waves of oblique incidence[J]. China Earthquake Engineering Journal , 2013, 35(1): 84-90. (in Chinese))
[5]	李山有, 王学良, 周正华. 地震波斜入射情形下水平成层半空间自由场的时域计算[J]. 吉林大学学报(地球科学版), 2003, 33(3): 72-76. (LI Shan-you, WANG Xue-liang, ZHOU Zheng-hua. The time-step numerical simulation of free field motion of layered half-space for inclined seismic wave[J]. Journal of Jilin University (Earth Science), 2003, 33(3): 72-76. (in Chinese))
[6]	尤红兵, 赵凤新, 荣棉水. 地震波斜入射时水平层状场地的非线性地震反应[J]. 岩土工程学报, 2009, 31(2): 234-240. (YOU Hong-bing, ZHAO Feng-xin, RONG Mian-shui. Nonlinear seismic response of horizontal layered site due to inclined wave[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(2): 234-240. (in Chinese))
[7]	黄博, 凌道盛, 丁浩, 等. 地震波斜入射地震波在土体中产生的动应力路径及试验模拟[J]. 岩土工程学报, 2013, 35(2): 276-283. (HUANG Bo, LING Dao-sheng, Ding Hao, et al. Seismic stress path induced by obliquely incident waves and its simulation[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(2): 276-283. (in Chinese))
[8]	廖河山, 陈清军, 徐植信. SH 波倾斜入射时土层的非线性响应分析[J]. 同济大学学报, 1994, 22(4): 517-522. (LIAO He-shan, CHEN Qing-jun, XU Zhi-xin. Nonlinear responses of layered soils to obliquely incident SH waves[J]. Journal of Tongji University, 1994, 22(4): 517-522. (in Chinese))
[9]	张建经, 朱传彬, 张明, 等. 地震波入射角对盆地地震反应影响的数值分析[J]. 岩石力学与工程学报, 2014, 33(增刊1): 2720-2727. (ZHANG Jian-jing, ZHU Chuan-bin,ZHANG Ming, et al. Numerical analysis for effect incident angle of seismic wave on seismic wave on seismic response of basin[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(S1): 2720-2727. (in Chinese))
[10]	李山有, 廖振鹏. 地震体波斜入射情形下台阶地形引起的波型转换[J]. 地震工程与工程振动, 2002, 22(4): 9-10. (LI Shan-you, LIAO Zhen-peng. Wave-type conversion caused by a step topography subjected to inclined seismic body wave[J]. Earthquake Engineering and Engineering Vibration, 2002, 22(4): 9-10. (in Chinese))
[11]	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. (XU Hai-bin, DU Xiu-li, ZHAO Mi, et al. Effect of oblique incidence of seismic waves on seismic responses of high arch dam[J]. Journal of Hydroelectric Engineering, 2011, 30(6): 159-165. (in Chinese))
[12]	苑举卫, 杜成斌, 刘志明. 地震波斜入射条件下重力坝动力反应分析[J]. 振动与冲击, 2011, 30(7): 120-126. (YUAN Wei-ju, DU Chen-bin, LIU Zhi-ming. Time- domain response for gravity dam to obliquely incident and seismic waves[J]. Journal of Vibration and Shock, 2011, 30(7): 120-126. (in Chinese))
[13]	焦红波, 王慧. 地震波入射角对输水隧洞地震响应的影响[J]. 人民黄河, 2012, 34(8): 144-146. (JIAO Hong-bo, WANG Hui. Influence of seismic wave incident angle to the seismic response of water diversion tunnel[J]. Yellow River, 2012, 34(8): 144-146. (in Chinese))
[14]	郜新军, 赵成刚, 刘秦. 地震波斜入射下考虑局部地形影响和土结动力相互作用的多跨桥动力反应分析[J]. 工程力学, 2011, 28(11): 237-243. (GAO Xin-jun, ZHAO Cheng-gang, LIU Qin. Seismic response analysis of multi-span viaduct considering topographic effect and soil-structure dynamic interaction based inclined wave[J]. Engineering Mechanics, 2011, 28(11): 237-243. (in Chinese))
[15]	谷音, 江梦霞, 卓卫东, 等. 考虑地震波斜入射下河谷地形的大跨桥梁动力反应研究[J]. 福州大学学报(自然科学版), 2013, 41(4): 517-522. (GU Yin, JIANG Meng-xia, ZHUO Wei-dong, et al. Seismic response analysis of long-span bridges subjected to spatially non-uniform seismic ground motions[J]. Journal of Fuzhou University (Natural Science Edition), 2013, 41(4): 517-522. (in Chinese))
[16]	宋波, 盛朝晖, 徐明, 等. 地震波输入角度对大型脱硫塔结构动力影响的实验研究[J]. 北京科技大学学报, 2010, 32(12): 1648-1654. (SONG Bo, SHENG Zhao-hui, XU Ming, et al. Experimental study on the dynamic effect of a desulfurization tower under different seismic wave input angles[J]. Journal of University of Science and Technology Beijing, 2010, 32(12): 1648-1654. (in Chinese))
[17]	姚振兴, 郑天愉. 计算综合地震图的广义反射、透射系数矩阵和离散波数方法（二）— 对不同深度点源的算法[J]. 地球物理学报, 1984, 27(4): 338-348. (YAO Zhen-xing, ZHENG Tian-yu. A generalized reflection-transmission coefficient matrix and discrete wavenumber method for synthetic seismograms(Ⅱ) —for multiple sources at different depths[J]. Acta Geophsics of Sinca, 1984, 27(4): 338-348. (in Chinese))
[18]	李旭, 陈运泰. 合成地震图的广义反射透射系数矩阵方法[J]. 地展地磁观测与研究, 1996, 17(3): 1-20. (LI Xu, CHEN Yun-tai. The generalized reflection-transmission coefficient matrix method for synthetic seismograms[J]. Seismological and Geomagnetic Observation and Research, 1996, 17(3): 1-20. (in Chinese))

施引文献(25)

期刊类型引用(8)

1.	冯德銮，黎森宇，梁仕华. 水泥固化滨海软土动力特性研究进展与评述. 广东工业大学学报. 2024(02): 23-36 . 百度学术
2.	王喆恺，谭慧明，陶小三. 应力路径对盐城粉质黏土动剪切模量影响试验研究. 中国港湾建设. 2024(08): 44-49+73 . 百度学术
3.	苟乐宇，李飒，张先伟. 菌丝–砂复合轻质土的静力强度特性研究. 岩石力学与工程学报. 2024(10): 2590-2598 . 百度学术
4.	杨海华，刘亮，刘汉龙，高鹏展，陈育民. 高聚物胶凝戈壁土的动模量及阻尼比试验研究. 振动与冲击. 2023(03): 12-20 . 百度学术
5.	何俊，张驰，管家贤，吕晓龙. 碱渣固化疏浚淤泥的动变形特性研究. 岩石力学与工程学报. 2023(S1): 3712-3721 . 百度学术
6.	郭鹏斐，侯天顺，刘茜，骆亚生. 直剪试验方法对轻量土抗剪强度的影响规律研究. 水利水电技术(中英文). 2023(04): 161-170 . 百度学术
7.	杨凯旋，侯天顺，王琪，骆亚生. 剪切速率对EPS颗粒混合轻量土抗剪强度的影响规律研究. 水资源与水工程学报. 2022(05): 200-207 . 百度学术
8.	侯天顺，郭鹏斐，杨凯旋，王琪，骆亚生. 发泡颗粒混合轻量土静止土压力特性及计算方法研究. 岩土工程学报. 2022(12): 2234-2244 . 本站查看