Two-dimensional and three-dimensional Green's functions in time-harmonic loads
Date Issued
2006
Date
2006
Author(s)
Chang, Tsung-Yao
DOI
zh-TW
Abstract
Abstract
Generally speaking , no matter which kind of material want to ask the displacement or the strain , it is the way that tries to get the Green’s function under this state . This paper is to determine the Green’s function in an unbounded homogeneous anisotropic media generated by the application of a two-dimensional time-harmonic point load , or the application of a three-dimensional time-harmonic line load . This paper based on the Fourier transform is presented to determine the Green’s function in a anisotropic media due to the application of a time-harmonic load .This Green's function needs to deal with the problem of integral representations and boundary integral equations by the boundary element method . Because the boundary element method has been playing a very important role in analyzing wave propagation problems in isotropic media . It hopes to deal the elastodynamic problems for anisotropic media as easy as isotropic media . In the isotropic media , it needs to estimate its data result of the Green's function with the data result of the analytical solution . This paper expects to use the coordinate transformed to deal the state with different viewpoint directions.
Subjects
時間週期性荷重
格林函數
傅立葉轉換
邊界元素法
座標轉換
the time-harmonic load
the Green’s function
the Fourier transform
the boundary element method
the coordinate transformed
the Gauss-Legendre N-point quadrature formula
Type
thesis
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