Advanced Search
Ma Hongwei　Chen Wenhua hr. 2011: An auxiliary plane method for harmonic function transformation between two skew cylindrical coordinate systems. Acta Seismologica Sinica, 33(5): 683-690.
Citation: Ma Hongwei　Chen Wenhua hr. 2011: An auxiliary plane method for harmonic function transformation between two skew cylindrical coordinate systems. Acta Seismologica Sinica, 33(5): 683-690.
shu

An auxiliary plane method for harmonic function transformation between two skew cylindrical coordinate systems

  • (School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China)

More Information
  • Published Date: September 19, 2011
    Graphical Abstract
    • Abstract
  • Aiming at the coordinate transformation in studying a 3-D seismic response with wave function expansion method, this paper presents an auxiliary plane method for harmonic function transformation between two skew cylindrical coordinate systems. By creating a series of auxiliary plane corresponding to spatial points, the 3-D harmonic wave function is transformed from cylindrical coordinate system to planar polar coordinate. Then the wave function under a cylindrical coordinate system is transformed into another one, which is skew to the former, by using the Grafrsquo;s addition formula on the auxiliary plane. Thus the 3-D problem is turned into two-dimensional. Finally, the coordinate transformation formula between two skew cylindrical coordinate systems is given.
    • FullText(HTML)
    • References (1)
    • Related Articles

  • Related Articles

    Wang Shan, Hao Minghui, Zhang Yushan, Zhao Fengxin. 2021: A matching method of ground-motion response spectrum and the peak displacement based on the wavelet function. Acta Seismologica Sinica, 43(3): 376-386. DOI: 10.11939/jass.20200138
    Liang Jianwen, Chen Jianqi, Ba Zhenning. 2013: 3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space (Ⅱ): Numerical results and analysis. Acta Seismologica Sinica, 35(2): 173-183. DOI: 10.3969/j.issn.0253-3782.2013.02.004
    Liang Jianwen　Chen Jianqi　Ba Zhenningcom sh advance. 2012: 3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space (Ⅰ): Methodology and verification. Acta Seismologica Sinica, 34(6): 785-792.
    Wei XingWang Yanbinup，Chen Xiaofeiup. 2010: Hybrid PSM/FDM method for seismic wavefield simulation. Acta Seismologica Sinica, 32(4): 392-400.
    2010: 震源参数对强地面震动模拟结果的影响
    . Acta Seismologica Sinica, 32(1): 51-59.
    2009: 用小波方法系统检验强震“前驱波”. Acta Seismologica Sinica, 31(1): 1-12.
    2004: 华东地区地电阻率各向异性度的地震前兆异常特征初步研究. Acta Seismologica Sinica, 26(2): 223-227.

  • Cited by

    Periodical cited type(4)

    1. 陈文化，张谦. 地铁列车进出站时土层空间振动特性分析. 岩土力学. 2019(09): 3656-3661+3669 .
    2. 马宏伟，陈文化，宗琦，丁曼曼. SV波引起的水下输水隧洞平面地震响应研究. 防灾减灾工程学报. 2016(05): 766-772 .
    3. 马宏伟，陈文化，宗琦，丁曼曼. P波入射引起的水下输水隧洞地震响应研究. 世界地震工程. 2016(04): 194-202 .
    4. 马宏伟，陈文化，丁曼曼. 输水隧道在P波入射时的三维地震响应研究. 振动工程学报. 2014(01): 96-103 .

    Other cited types(4)

Catalog

    Get Citation
    PDF
    XML
    Article views (1297) PDF downloads (92) Cited by(8)
    Turn off MathJax
    Article Contents
    Abstract
    References
    Related Articles

    Supported by: Beijing Renhe Information Technology Co., Ltd.   

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return