NUMERICAL MODELING OF WAVEGUIDES EMBEDDED IN INFINITE MEDIA

This paper presents recently developed approaches for the numerical simulation of guided elastic waves in structures that are embedded in infinite fluid or solid media. The waveguide is described by the Scaled Boundary Finite Element Method, which is a general semi-analytical method that requires discretization of the boundary only. The influence of the surrounding medium on the wave propagation inside the waveguide is accounted for by appropriate boundary conditions. It is demonstrated that for many practical applications a formulation based on simple dashpot boundary conditions yields sufficiently accurate results. To increase accuracy for fluids, an alternative formulation based on exact boundary conditions and inverse iteration is proposed. This approach is of use particularly if the acoustic properties of the waveguide and surrounding material are similar.

[1]  Hauke Gravenkamp,et al.  Modeling ultrasonic waves in elastic waveguides of arbitrary cross-section embedded in infinite solid medium , 2015 .

[2]  Hauke Gravenkamp,et al.  Numerical modeling of elastic waveguides coupled to infinite fluid media using exact boundary conditions , 2014 .

[3]  Hauke Gravenkamp,et al.  The computation of dispersion relations for axisymmetric waveguides using the Scaled Boundary Finite Element Method. , 2014, Ultrasonics.

[4]  Hauke Gravenkamp,et al.  Computation of dispersion curves for embedded waveguides using a dashpot boundary condition. , 2014, The Journal of the Acoustical Society of America.

[5]  Fabian Bause,et al.  On the computation of dispersion curves for axisymmetric elastic waveguides using the Scaled Boundary Finite Element Method , 2014 .

[6]  Hauke Gravenkamp,et al.  The computation of dispersion relations for three-dimensional elastic waveguides using the Scaled Boundary Finite Element Method , 2013 .

[7]  Hauke Gravenkamp,et al.  A numerical approach for the computation of dispersion relations for plate structures using the Scaled Boundary Finite Element Method , 2012 .

[8]  Mircea Găvan,et al.  Extraction of dispersion curves for waves propagating in free complex waveguides by standard finite element codes. , 2011, Ultrasonics.

[9]  Chongmin Song,et al.  The scaled boundary finite element method in structural dynamics , 2009 .

[10]  J. Wolf,et al.  The scaled boundary finite element method , 2004 .

[11]  J. Rose,et al.  Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example. , 2003, Ultrasonics.

[12]  J. Wolf,et al.  The scaled boundary finite-element method – a primer: derivations , 2000 .

[13]  M.J.S. Lowe,et al.  Matrix techniques for modeling ultrasonic waves in multilayered media , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[14]  E. Kausel Thin‐layer method: Formulation in the time domain , 1994 .