针对地震动空间差异问题,采用波动力学与叠加原理相结合的方法研究地震动的空间特征。分别以平面P波在半无限介质内垂直和倾斜入射为例,研究入射波和反射波叠加形成的质点运动空间特征。研究结果显示:以地震波形成质点运动的叠加模式为依据,半无限介质可划分为叠加区和分离区。在叠加区,入射波和反射波由于地震波组合效应对质点运动的持时、峰值以及时程形状产生影响;在分离区,入射波和反射波对质点运动的贡献在时域表现分离特征。地震波叠加模式引起的地震动空间差异较明显,研究地震波叠加模式对地震动空间特征的影响具有重要意义。
Abstract
Aiming at the problem of spatial diversity of seismic motion, the method of the wave theory combined with the superposition principle was used to study seismic motion’s spatial characteristics.Plane P-wave vertical incident semi-infinite medium and that oblique incident semi-infinite medium, respectively were taken as examples to study spatial characteristics of particle motion caused by superposition of incident wave and reflected one.The results showed that the superposition mode of mass point motions caused by seismic wave is taken as a basis, the semi-infinite medium can be divided into superposition zone and separation one; in superposition zone, incident wave and reflected one affect particle motion’s holding time, peak value and time history shape; in separation zone, the contribution of incident wave and reflected one to particle motion reveals separation features in time domain; seismic motion’s spatial diversity caused by superposition mode of seismic wave is more obvious, so studying effects of superposition mode of seismic wave on spatial characteristics of seismic motion is of great significance.
关键词
平面P波 /
垂直入射 /
倾斜入射 /
运动空间特征 /
叠加区 /
分离区
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参考文献
[1] Zerva A. Spatial variation of seismic ground motions: modeling and engineering applications[M]. Crc Press, 2009.
[2] Chopra A K, Wang J T. Earthquake response of arch dams to spatially varying ground motion[J]. Earthquake Engineering & Structural Dynamics, 2010, 39(8): 887-906.
[3] 谷音,谌凯,吴怀强,等. 考虑地震动空间非一致性的地铁车站结构振动台试验研究[J]. 振动与冲击,2017, (17): 255-261.
Gu Yin, Chen Kai, Wu Huaiqiang, et al. Shaking table tests for a subway station structure under spatially non-uniform ground motion[J]. Journal of vibration and shock, 2017,(17):255-261.
[4] 李杰,代跃,陈淮. 随机地震动场多点激励下宽幅大跨桥梁结构地震响应研究[J]. 地震工程学报,2017, (01): 39-44.
Li Jie, Dai Yue, Chen Huai. Seismic response of wide long-span bridge structure under multi-point excitation of random ground moiton field [J]. China earthquake engineering journal, 2017, (01): 39-44.
[5] 姚虞,王睿,刘天云,等. 高面板坝地震动非一致输入响应规律[J]. 岩土力学,2018, (06): 2259-2266.
Yao Yu, Wang Rui, Liu Tianyun, et al. Seismic response of high concrete face rockfill dams subject to non-uniform input motion[J]. Rock and soil mechanics, 2018, (06): 2259-2266.
[6] 缪惠全,李杰. 基于物理机制的工程场地地震动相干函数模型[J]. 中国科学: 技术科学,2018, (02): 209-216.
Miao Huiquan, Li Jie. The coherence function model of ground motion in engineering sites based on physical mechanism[J]. Scientia Sinica Technologica, 2018, (02): 209-216.
[7] Loh Chin Hsiung, Yeh Yeong Tein. Spatial variation and stochastic modelling of seismic differential ground movement[J]. Earthquake Engineering & Structural Dynamics, 2010, 16(4):583-596.
[8] Hao H., Oliveira C. S., Penzien J. Multiple-station ground motion processing and simulation based on smart-1 array data[J]. Nuclear Engineering and Design, 1989, 111(3): 293-310.
[9] Luco J. E., Wong H. L. Response of a rigid foundation to a spatially random ground motion[J]. Earthquake Engineering and Structural Dynamics, 1986, 14(6): 1-15.
[10] Zerva A., Harada T. Effect of surface layer stochasticity on seismic ground motion coherence and strain estimates[J]. Soil Dynamics and Earthquake Engineering, 1997, 16(7-8): 445-457.
[11] 陈厚群,吴胜兴,党法宁. 高拱坝抗震安全[M]. 北京: 中国电力出版社,2012.
[12] 林皋. 大坝抗震分析中地震动输入方式研究[J]. 人民长江,2014, (23): 35-38.
Lin Gao. Study on earthquake ground motion input for seismic analysis of dams[J]. Yangtze River. 2014, (23): 35-38.
[13] 金星. 地震动场研究状况简介[J]. 世界地震工程,1993, (03): 19-22.
[14] 刘晶波, 王艳. 成层介质中平面内自由波场的一维化时域算法[J]. 工程力学, 2007, 24(7):16-22.
Liu Jingbo, Wang Yan. A 1d time-domain method for in-plane wave motion of free field in layered media[J]. Enginnering mechanics. 2007, 24(7):16-22.
[15] 杜修力,赵密. 基于黏弹性边界的拱坝地震响应分析方法[J]. 水利学报,2006, 37(09): 1063-1069.
Du Xiuli, Zhao Mi. Analysis method for seismic response of arch dams in time domain based on viscous-spring artificial boundary condition[J]. Shuili Xuebao. 2006, 37(09): 1063-1069.
[16] 金星, 廖振鹏. 地震动随机场的物理模拟[J]. 地震工程与工程振动,1994, 14(03): 11-19.
Jin Xing, Liao Zhenpeng. Physical simulation on the random field of seismic motion[J]. Earthquake engineering and engineering vibaration. 1994, 14(03): 11-19.
[17] 张翠然, 陈厚群, 李敏. 采用随机有限断层法生成最大可信地震[J]. 水利学报,2011, 42(6): 721-728.
Zhang Cuiran, Chen Houqun, Li Min. Generation of the maximum credible earthquake by using the stochastic finite fault method[J]. Shuili Xuebao. 2011, 42(6): 721-728.
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