Stable and Accurate Computation of Dispersion Relations for Layered Waveguides, Semi-Infinite Spaces and Infinite Spaces
作者： Q. Gao , Y. H. Zhang
DOI: 10.1115/1.4042708
关键词: Semi-infinite 、 Boundary value problem 、 Eigenvalues and eigenvectors 、 Space (mathematics) 、 Dispersion relation 、 Computation 、 Mathematical analysis 、 Mathematics 、 Differential equation 、 Numerical stability 、 Mechanical engineering 、 Acoustics and Ultrasonics 、 Mechanics of Materials
摘要: This paper studies the dispersion characteristics of guided waves in layered finite media, surface waves in layered semi-infinite spaces, and Stoneley waves in layered infinite spaces. Using the precise integration method (PIM) and the Wittrick–Williams (WW) algorithm, three methods that are based on the dynamic stiffness matrix, symplectic transfer matrix, and mixed energy matrix are developed to compute the dispersion relations. The dispersion relations in layered media can be reduced to a standard eigenvalue problem of …
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