A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media

F. Schoepfer; F. Binder; A. Woestehoff; T. Schuster

首页> 外文期刊>Mathematical Problems in Engineering >A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media

【24h】

A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media

机译：各向异性层状介质中导波频散曲线计算的条元法数学分析

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Dispersion curves of elastic guided waves in plates can be efficiently computed by the Strip-Element Method. This method is based on a finite-element discretization in the thickness direction of the plate and leads to an eigenvalue problem relating frequencies to wavenumbers of the wave modes. In this paper we present a rigorous mathematical background of the Strip-Element Method for anisotropic media including a thorough analysis of the corresponding infinite-dimensional eigenvalue problem as well as a proof of the existence of eigenvalues.

机译：板中的弹性导波的色散曲线可以通过带状元素法有效地计算出来。该方法基于在板的厚度方向上的有限元离散化，并且导致将频率与波模的波数相关联的特征值问题。在本文中，我们为各向异性介质提供了带状元方法的严格数学背景，包括对相应的无穷维特征值问题的透彻分析以及特征值存在的证明。

著录项

来源
《Mathematical Problems in Engineering》 |2010年第2期|p.20.1-20.17|共17页
作者
F. Schoepfer; F. Binder; A. Woestehoff; T. Schuster;
展开▼
作者单位

Fakultaet fuer Maschinenbau, Helmut-Schmidt-Universitaet, Holstenhofweg 85,22043 Hamburg, Germany;

Fakultaet fuer Maschinenbau, Helmut-Schmidt-Universitaet, Holstenhofweg 85,22043 Hamburg, Germany;

Fakultaet fuer Maschinenbau, Helmut-Schmidt-Universitaet, Holstenhofweg 85,22043 Hamburg, Germany;

Fakultaet fuer Maschinenbau, Helmut-Schmidt-Universitaet, Holstenhofweg 85,22043 Hamburg, Germany;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media [J] . F.Sch?pfer, F.Binder, A.W?stehoff, Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第2期

机译：各向异性层状介质中导波频散曲线计算的条元法数学分析
2. Guided waves' dispersion curves in anisotropic viscoelastic single- and multi-layered media [J] . Quintanilla F. Hernando, Fan Z., Lowe M. J. S., Proceedings of the Royal Society. Mathematical, physical and engineering sciences . 2015,第2183期

机译：各向异性粘弹性单层和多层介质中的导波色散曲线
3. Full 3D dispersion curve solutions for guided waves in generally anisotropic media [J] . Quintanilla F. Hernando, Lowe M. J. S., Craster R. V. Journal of Sound and Vibration . 2016,第Null期

机译：各向异性介质中导波的完整3D色散曲线解决方案
4. Dispersion Curves Computation for Waveguides Buried in Infinite Space by Semi-Analytical Finite Element Method [C] . Zhirong Lin, Akira Kasai, Yoshito Itoh International Conference onechanical Behavior of Materials . 2011

机译：半分析有限元法通过半分析有限元法在无限空间中埋入的波导的分散曲线计算
5. Finite difference frequency domain method for thin, lossy, anisotropic layers in waveguides. [D] . Arft, Carl Martin. 2004

机译：波导中薄而有损各向异性层的有限差分频域方法。
6. Correction to ‘On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets’ [O] . K. A. Michalski, M. M. Mustafa -1

机译：对关于具有多个各向异性导电片的平面分层波导中混合模式的计算的更正
7. Guided waves' dispersion curves in anisotropic viscoelastic single- and multi-layered media [O] . Quintanilla FH, Fan Z, Lowe MJS, 2015

机译：各向异性粘弹性单层和多层介质中导波的色散曲线
8. Source-Type Integral Equation Method: A Numerical Strategy for DeterminingElectromagnetic Field Distributions of Guided Modes Outside the Core of a Circularly Curved Channel Waveguide Embedded in a Multi-Layered Background [R] . Craye, H. E. 1994

机译：源型积分方程法：确定嵌入多层背景的圆弧形通道波导核心外引导模式的电磁场分布的数值策略

A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media

摘要

著录项

相似文献

相关主题

期刊订阅