On the computation of dispersion curves for axisymmetric elastic waveguides using the Scaled Boundary Finite Element Method

被引：44

作者：

Gravenkamp, Hauke ^{[1
]}

Bause, Fabian ^{[2
]}

Song, Chongmin ^{[3
]}

机构：

[1] Fed Inst Mat Res & Testing, D-12200 Berlin, Germany

[2] Univ Paderborn, Measurement Engn Grp, D-33098 Paderborn, Germany

[3] Univ New S Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia

来源：

COMPUTERS & STRUCTURES | 2014年 / 131卷

关键词：

Guided waves; Dispersion; Numerical methods; Scaled Boundary Finite Element Method; Cylinders; EIGENVALUE PROBLEMS; LAMB WAVES; PRIMER; PLATES;

D O I：

10.1016/j.compstruc.2013.10.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we propose an algorithm to compute specific parts of the dispersion curves for elastic waveguides. The formulation is based on an axisymmetric representation of the Scaled Boundary Finite Element Method, where the wavenumbers of propagating modes are obtained as solutions of a Hamiltonian eigenvalue problem. The novel solution procedure involves tracing selected modes over a given frequency range and computing the corresponding solutions by means of inverse iteration. The resulting algorithm is applied in the context of material characterization, where the efficiency of the computation is crucial. (c) 2013 Elsevier Ltd. All rights reserved.

引用

页码：46 / 55

页数：10

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