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地震波斜入射时二维成层介质自由场求解的等效线性化方法

王笃国, 赵成刚

王笃国, 赵成刚. 地震波斜入射时二维成层介质自由场求解的等效线性化方法[J]. 岩土工程学报, 2016, 38(3): 554-561. DOI: 10.11779/CJGE201603020
引用本文: 王笃国, 赵成刚. 地震波斜入射时二维成层介质自由场求解的等效线性化方法[J]. 岩土工程学报, 2016, 38(3): 554-561. DOI: 10.11779/CJGE201603020
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WANG Du-guo, ZHAO Cheng-gang. Two-dimensional equivalent linear seismic analysis of free field in layered half-space due to oblique incidence[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3): 554-561. DOI: 10.11779/CJGE201603020
Citation: WANG Du-guo, ZHAO Cheng-gang. Two-dimensional equivalent linear seismic analysis of free field in layered half-space due to oblique incidence[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(3): 554-561. DOI: 10.11779/CJGE201603020
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地震波斜入射时二维成层介质自由场求解的等效线性化方法  English Version

  • 1. 北京交通大学土木建筑工程学院,北京 100044;
    2. 桂林理工大学土木与建筑工程学院,广西 桂林 541004

基金项目: 国家重点基础研究发展计划("973"计划)项目(2015CB0578000); 国家自然科学基金项目(51478135)
详细信息
    作者简介:

    王笃国(1979- ),男,博士研究生,主要从事岩土动力学方面的研究.E-mail: wangduguo@163.com.

  • 中图分类号: TU43；P315

Two-dimensional equivalent linear seismic analysis of free field in layered half-space due to oblique incidence

  • 1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
    2. College of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, China

摘要

    摘要
  • 摘要: 基于等效线性化频域数值求解方法和二维应变空间状态理论,提出了一种地震波斜入射时二维水平成层介质的非线性地震反应分析方法.首先,建立地震波斜入射下成层弹性介质频域传递矩阵;其次,结合等效线性化方法,给出了地震波斜入射情况下二维等效剪应变求解方法,进而求得任一层的等效刚度和阻尼比,并进行迭代计算,直到满足给定的精度为止;最后根据满足精度要求的等效刚度和阻尼比进行成层介质地震反应分析,求取目标层的地震响应.对某二维水平成层场地地震波斜入射(SH波,SV波和P波)时的非线性地震反应进行了计算,并研究了成层介质场地地震反应随入射角的变化而变化的规律.
    Abstract: Based on the equivalent linear numerical method in frequency domain and two-dimensional strain space theory, a two-dimensional equivalent linear method is developed, which can be used to calculate the nonlinear seismic response of free field in layered half-space due to oblique incidence. First, the transfer matrix for the elastic layered half-space under oblique wave incidence is established. Then, the method to obtain the equivalent shear strain under inclined waves is established, and the strain-dependent equivalent shear modulus and damp can be obtained. Next, computational iteration is implemented until the error is small enough to be accepted. Finally, the last computed shear modulus and damp are used to describe the characteristic of the layered half-space, and the seismic response of the half-space can be calculated. The nonlinear seismic analysis for one layered half-space under inclined wave (SH, SV and P) is performed, and the effect of the incident angle on the seismic response is discussed.
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    • 参考文献(17)
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出版历程
  • 收稿日期:  2015-05-20
  • 发布日期:  2016-03-24

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