Numerical modeling of guided ultrasonic waves generated and received by piezoelectric wafer in a Delaminated composite beam

被引:0
作者
Xu, G. D. [1 ]
Xu, B. Q. [1 ]
Xu, C. G. [1 ]
Luo, Y. [2 ]
机构
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
[2] Jiangsu Univ, Fac Civil Engn & Mech, Zhenjiang 212013, Peoples R China
来源
FOURTH INTERNATIONAL SYMPOSIUM ON LASER INTERACTION WITH MATTER | 2017年 / 10173卷
基金
中国国家自然科学基金;
关键词
spectral finite element method; laminated composite beam; delamination; piezoelectric wafer; SPECTRAL ELEMENT METHOD; FINITE-ELEMENT; LAMB WAVES; PROPAGATION; REFLECTIONS; ACTUATORS;
D O I
10.1117/12.2268334
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A spectral finite element method (SFEM) is developed to analyze guided ultrasonic waves in a delaminated composite beam excited and received by a pair of surface-bonded piezoelectric wafers. The displacements of the composite beam and the piezoelectric wafer are represented by Timoshenko beam and Euler Bernoulli theory respectively. The linear piezoelectricity is used to model the electrical-mechanical coupling between the piezoelectric wafer and the beam. The coupled governing equations and the boundary conditions in time domain are obtained by using the Hamilton's principle, and then the SFEM are formulated by transforming the coupled governing equations into frequency domain via the discrete Fourier transform. The guided waves are analyzed while the interaction of waves with delamination is also discussed. The elements needed in SFEM is far fewer than those for finite element method (FEM), which result in a much faster solution speed in this study. The high accuracy of the present SFEM is verified by comparing with the finite element results.
引用
收藏
页数:10
相关论文
共 23 条
[1]   Simulation of Lamb wave reflections at plate edges using the semi-analytical finite element method [J].
Ahmad, Z. A. B. ;
Gabbert, U. .
ULTRASONICS, 2012, 52 (07) :815-820
[2]   A boundary element solution for a mode conversion study oil the edge reflection of Lamb waves [J].
Cho, YH ;
Rose, JL .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1996, 99 (04) :2097-2109
[3]   USE OF PIEZOELECTRIC ACTUATORS AS ELEMENTS OF INTELLIGENT STRUCTURES [J].
CRAWLEY, EF ;
DELUIS, J .
AIAA JOURNAL, 1987, 25 (10) :1373-1385
[4]   Finite element modeling of the interaction of laser-generated ultrasound with a surface-breaking notch in an elastic plate [J].
Dai, Yong ;
Xu, Bai Qiang ;
Luo, Ying ;
Li, Hong ;
Xu, Gui Dong .
OPTICS AND LASER TECHNOLOGY, 2010, 42 (04) :693-697
[5]  
Doyle JF., 2012, Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms
[6]   Multiple reflections of Lamb waves at a delamination [J].
Hayashi, T ;
Kawashima, K .
ULTRASONICS, 2002, 40 (1-8) :193-197
[7]   END PROBLEM FOR A LAMINATED ELASTIC STRIP .I. GENERAL SOLUTION [J].
HESS, MS .
JOURNAL OF COMPOSITE MATERIALS, 1969, 3 (APR) :262-&
[8]   PIEZOELECTRIC TRANSDUCER MATERIALS [J].
JAFFE, H ;
BERLINCOURT, DA .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1965, 53 (10) :1372-+
[9]   Lamb wave propagation modelling for damage detection: I. Two-dimensional analysis [J].
Lee, B. C. ;
Staszewski, W. J. .
SMART MATERIALS AND STRUCTURES, 2007, 16 (02) :249-259
[10]   Dynamics of elastic-piezoelectric two-layer beams using spectral element method [J].
Lee, U ;
Kim, J .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (32) :4403-4417