Wave Analyses in Structural Waveguides Using a Boundary Element Approach
Wave Analyses in Structural Waveguides Using a Boundary Element Approach
复制标题
使用边界元方法对结构波导进行波分析
DOI：
10.1007/978-3-319-04570-2_2
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Lothar
中科院分区：
文献类型：
--
作者：
Bischoff;Stefan;Lothar
基于波的SHM概念被广泛用于结构状态的有效评估。为了定位波导中的缺陷，需要对超声波的传播特性有准确的了解，本文提出了一种三维波导的边界元模型，通过该模型可以分析波模的波数和模形。在BE建模过程中，考虑周期性波导的一段。采用配点法，在离散节点处求解边界积分方程，建立相应的系统矩阵。应用周期性条件，所得到的本征值问题的解决方案提供了波导的传播和非传播模式。通过将数值计算结果与理论计算结果进行比较，验证了该模型的正确性。通过能量平衡准则验证了数值模拟结果的准确性。
Wave-based SHM concepts are widely used for an efficient evaluation of the state of a structure. In order to localize defects in waveguides, an exact knowledge of the propagation properties of ultrasonic waves is required.Within this work, a boundary element formulation for modeling 3D waveguides is presented by which wave numbers as well as mode shapes of wave modes can be analyzed. In a BE modeling process, a segment of the periodic waveguide is considered. The collocation method, in which the boundary integral equation is solved at discretized nodes, is used to set up the corresponding system matrices. Applying a periodicity condition, the solution of the resulting eigenvalue problem provides both propagating and non-propagating modes of the waveguide. The model is verified by comparing the numerical results with theoretical considerations.Additionally, a SHM application is demonstrated in order to characterize defects. The numerical accuracy of the simulation results are validated by an energy balance criteria.
影响因子：
2.7
作者：
L. Gaul;H. Sprenger;C. Schaal;S. Bischoff
通讯作者：
L. Gaul;H. Sprenger;C. Schaal;S. Bischoff