scholarly journals Electromechanical Impedance Analysis on Piezoelectric Smart Beam with a Crack Based on Spectral Element Method

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Dansheng Wang ◽  
Hongyuan Song ◽  
Hongping Zhu
Keyword(s):  
Spectral Element Method ◽  
Crack Depth ◽  
Adhesive Layer ◽  
Impedance Analysis ◽  
Spectral Element ◽  
Peak Position ◽  
Electromechanical Impedance ◽  
Stiffness Matrices ◽  
Smart Beam ◽  
Element Method

An electromechanical impedance (EMI) analysis of a piezoelectric smart beam with a crack is implemented in this paper. Spectral element method (SEM) is used to analyze the EMI response of the piezoelectric smart beam. In this analysis, the spectral element stiffness matrices of different beam segments are derived in this paper. The crack is simulated using spring models, and the EMI signatures of piezoelectric smart beam with and without crack are calculated using SEM, respectively. From the analysis results, it is found that the peak position and amplitude of the EMI signatures have significant changes with the change in crack depth, especially in higher frequency ranges. Different vibration modes of the piezoelectric smart beam are analyzed, and the effect of thickness of the adhesive layer on the admittance is also researched. An experimental study is also implemented to verify the validity of the analysis results using SEM.

Time-domain spectral element method for modelling of the electromechanical impedance of disbonded composites

2018 ◽  
Vol 29 (16) ◽  
pp. 3214-3221 ◽  
Author(s):  
Piotr Fiborek ◽  
Paweł H Malinowski ◽  
Paweł Kudela ◽  
Tomasz Wandowski ◽  
Wiesław M Ostachowicz
Keyword(s):  
Spectral Element Method ◽  
Spectral Element ◽  
Impedance Method ◽  
Adhesively Bonded ◽  
Destructive Testing ◽  
Electromechanical Impedance ◽  
Carbon Fibre Reinforced Polymer ◽  
Fibre Reinforced Polymer ◽  
Non Destructive ◽  
Element Method

The research focuses on the electromechanical impedance method. The electromechanical impedance method can be treated as non-destructive testing or structural health monitoring approach. It is important to have a reliable tool that allows verifying the integrity of the investigated objects. The electromechanical impedance method was applied here to assess the carbon fibre–reinforced polymer samples. The single and adhesively bonded samples were investigated. In the reported research, the electromechanical impedance spectra up to 5 MHz were considered. The investigation comprised of modelling using spectral element method and experimental measurements. Numerical and experimental spectra were analysed. Differences in spectra caused by differences in considered samples were observed.

A Parallel Spectral Element Method for Acoustic Wave Modeling

1997 ◽  
Vol 05 (01) ◽  
pp. 53-69 ◽  
Author(s):  
Géza Seriani
Keyword(s):  
Large Scale ◽  
Spectral Element Method ◽  
Iterative Solution ◽  
Spectral Element ◽  
Solution Technique ◽  
Stiffness Matrices ◽  
The Matrix ◽  
Speed Performance ◽  
Element Approach ◽  
Element Method

The finite element method is well reputed for its great flexibility in solving problems with complex geometries and heterogeneous structures, but, in its classical form, it has fairly low accuracy and poor computational efficiency. This makes an adverse impact on a large-scale numerical simulation of acoustic wavefield propagation. It has been shown by the author and his co-workers that the spectral approach, based on the use of high-order orthogonal interpolating functions (the Spectral Element Method), yields high accuracy with almost no numerical artifacts; it also significantly reduces the simulation computing costs. In this paper, the method is presented in conjunction with an iterative solution technique in such a way that it fully exploits the currently available parallel computers. The underlying algorithm is based on the observations that the assembly of mass and stiffness matrices is not really needed, and that the matrix-vector product required for the iterations can be done concurrently via an element-by-element approach. Moreover, by using a tensor-product sum-factorization scheme, computational and storage requirements can be further reduced as neither element nor global matrices are ever formed. The method is tested on the Cray T3D MPP computer, and its parallel efficiency and speed performance are discussed.

Spectral Element Modelling of Wave Propagation and Impedance Based SHM Systems

2009 ◽  
Vol 413-414 ◽  
pp. 683-690 ◽  
Author(s):  
Rolf T. Schulte ◽  
Ke Jia Xing ◽  
Claus Peter Fritzen
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Time Domain ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Integration Algorithm ◽  
Significant Saving ◽  
New Approach ◽  
Electromechanical Impedance ◽  
Element Method

In recent years many SHM approaches based on elastic waves that are generated and sensed by surface-bonded piezoelectric patches have been developed. Some of those utilize wave propagation phenomena; others use changes in the electromechanical impedance to detect structural damage. The capability of most approaches strongly depends on adequate choice of SHM system parameters like excitation signals and actuator/sensor types and positions. For this reason there is a growing interest in efficient and accurate simulation tools to shorten time and cost of the necessary tedious pretests. To detect small damage generally high frequency excitation signals have to be used. Because of this a very dense finite element mesh is required for an accurate simulation. As a consequence a conventional finite element simulation becomes computationally inefficient. A new approach that seems to be more promising is the time domain spectral element method. This contribution presents the theoretical background and some results of numerical calculations of the propagation of waves. The simulation is performed using the spectral element method (SEM), which leads to a diagonal mass matrix. Besides a significant saving of memory this leads to a crucial reduction of complexity of the time integration algorithm for the wave propagation calculation. A new approach to simulate the E/M impedance using time domain spectral elements is shown. An example demonstrates a good correlation of simulation and measurement data, so that the proposed simulation methodology seems to be a promising tool to make impedance based SHM systems more efficient, especially regarding the necessary parameter studies.

scholarly journals The Implementation of Spectral Element Method in a CAE System for the Solution of Elasticity Problems on Hybrid Curvilinear Meshes

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Dmitriy Konovalov ◽  
Anatoly Vershinin ◽  
Konstantin Zingerman ◽  
Vladimir Levin
Keyword(s):  
Mathematical Simulation ◽  
High Performance ◽  
Spectral Element Method ◽  
New Technologies ◽  
Spectral Element ◽  
High Tech ◽  
Engineering Analysis ◽  
Elasticity Problems ◽  
Cae System ◽  
Element Method

Modern high-performance computing systems allow us to explore and implement new technologies and mathematical modeling algorithms into industrial software systems of engineering analysis. For a long time the finite element method (FEM) was considered as the basic approach to mathematical simulation of elasticity theory problems; it provided the problems solution within an engineering error. However, modern high-tech equipment allows us to implement design solutions with a high enough accuracy, which requires more sophisticated approaches within the mathematical simulation of elasticity problems in industrial packages of engineering analysis. One of such approaches is the spectral element method (SEM). The implementation of SEM in a CAE system for the solution of elasticity problems is considered. An important feature of the proposed variant of SEM implementation is a support of hybrid curvilinear meshes. The main advantages of SEM over the FEM are discussed. The shape functions for different classes of spectral elements are written. Some results of computations are given for model problems that have analytical solutions. The results show the better accuracy of SEM in comparison with FEM for the same meshes.

Large eddy simulation of the differentially heated cubic cavity flow by the spectral element method

2013 ◽  
Vol 86 ◽  
pp. 210-227 ◽  
Author(s):  
Christoph Bosshard ◽  
Abdelouahab Dehbi ◽  
Michel Deville ◽  
Emmanuel Leriche ◽  
Riccardo Puragliesi ◽  
...  
Keyword(s):  
Large Eddy Simulation ◽  
Spectral Element Method ◽  
Cavity Flow ◽  
Spectral Element ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Element Method
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