Spectral Element Modelling of Wave Propagation and Impedance Based SHM Systems

作者: Rolf T. Schulte , Ke Jia Xing , Claus Peter Fritzen

DOI: 10.4028/WWW.SCIENTIFIC.NET/KEM.413-414.683

关键词:

摘要: 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 most strongly depends adequate choice system parameters like excitation signals actuator/sensor types positions. For this reason there is a growing interest efficient accurate simulation tools shorten time cost necessary tedious pretests. To small damage generally high frequency be used. Because very dense finite element mesh required for an simulation. As consequence conventional becomes computationally inefficient. A new approach seems more promising domain spectral method. This contribution presents theoretical background some results numerical calculations waves. performed using method (SEM), which leads diagonal mass matrix. Besides significant saving memory crucial reduction complexity integration algorithm calculation. simulate E/M elements shown. An example demonstrates good correlation measurement data, so proposed methodology tool make systems efficient, especially regarding parameter studies.

参考文章(15)
O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, Discrete element methods The Finite Element Method Set (Sixth Edition)#R##N#Its Basis and Fundamentals. pp. 245- 277 ,(2005) , 10.1016/B978-075066431-8.50196-X
Géza Seriani, Enrico Priolo, Spectral element method for acoustic wave simulation in heterogeneous media Finite Elements in Analysis and Design. ,vol. 16, pp. 337- 348 ,(1994) , 10.1016/0168-874X(94)90076-0
Younho Cho, Joseph L. Rose, A boundary element solution for a mode conversion study on the edge reflection of Lamb waves The Journal of the Acoustical Society of America. ,vol. 99, pp. 2097- 2109 ,(1996) , 10.1121/1.415396
Anthony T Patera, A spectral element method for fluid dynamics: Laminar flow in a channel expansion Journal of Computational Physics. ,vol. 54, pp. 468- 488 ,(1984) , 10.1016/0021-9991(84)90128-1
Shengyuan Yang, Bryan Ngoi, General sensor equation and actuator equation for the theory of laminated piezoelectric plates Smart Materials and Structures. ,vol. 8, pp. 411- 415 ,(1999) , 10.1088/0964-1726/8/3/312
Paweł Kudela, Arkadiusz Żak, Marek Krawczuk, Wiesław Ostachowicz, Modelling of wave propagation in composite plates using the time domain spectral element method Journal of Sound and Vibration. ,vol. 302, pp. 728- 745 ,(2007) , 10.1016/J.JSV.2006.12.016
DIMITRI KOMATITSCH, ROLAND MARTIN, JEROEN TROMP, MARK A. TAYLOR, BETH A. WINGATE, WAVE PROPAGATION IN 2-D ELASTIC MEDIA USING A SPECTRAL ELEMENT METHOD WITH TRIANGLES AND QUADRANGLES Journal of Computational Acoustics. ,vol. 09, pp. 703- 718 ,(2001) , 10.1142/S0218396X01000796
C. Liang, F. P. Sun, C. A. Rogers, An impedance method for dynamic analysis of active material systems Journal of Vibration and Acoustics. ,vol. 116, pp. 120- 128 ,(1994) , 10.1115/1.2930387