Dynamic Green's functions for layered media by using 3 dimensional Cartesian coordinates and Fourier transform

• 原田 隆典

  宮崎大学　工学部土木環境工学科

• 松田 良介

  宮崎大学大学院　工学研究科　土木環境工学専攻

• 中村 真貴

  宮崎大学大学院　農学工学総合研究科　資源環境科学専攻

• 粟田 勇志

  宮崎大学大学院　工学研究科　土木環境工学専攻

Bibliographic Information

Other Title

• 直交座標系とフーリエ変換を用いた水平成層弾性体の動的グリーン関数

Abstract

This paper presents the dynamic Green's functions by the use of the stiffness matrix method for layered elastic half space in Cartesian coordinates. From these Green's functions in Cartesian coordinates, the well known Green's functions in cylindrical coordinates are derived. The presented Green's functions in Cartesian coordinates are represented by the two fold Fourier integral, and then the 2 Dimensional Fast Fourier Transform (2DFFT) can be effectively used to calculate the dynamic Green's functions. To verify numerically the validity of the presented Green's functions in Cartesian coordinates, the numerical examples of comparison with the well known dynamic Green's functions of elastic half space in cylindrical coordinates are shown.

Journal

• Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

  Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 67 (2), I_915-I_924, 2011

  Japan Society of Civil Engineers

Keywords

• Dynamic Green's functions for layered half space
• Stiffness matrix method
• Cartesian coordinates
• Cylindrical coordinates

Details

• CRID: 1390001205351165440
• NII Article ID: 130004557238
• NII Article ID: 120007120748
• DOI: 10.2208/jscejam.67.i_915
• ISSN: 21854661
• HANDLE: 10458/6605
• Web Site: https://miyazaki-u.repo.nii.ac.jp/records/5503
• Text Lang: ja
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed