通过建立导波传播的等效分析模型推导了二维点阵夹芯板中导波的频散方程, 并计算得到频散曲线. 建立了基于二维点阵真实结构的有限元模型, 并利用ABAQUS 软件模拟了导波在正六边形点阵夹芯板中的传播过程. 结果表明, 当频率较低时, 等效模型能够较好地描述导波沿整个夹芯板的传播过程.
Based on an equivalent analysis model, the dispersion equations of guided waves in 2D lattice sandwich plate are derived, and the dispersion curves calculated. A finite element model is also built according to the real structure of 2D lattice. Propagation of guided waves in hexagonal lattice sandwich plate is simulated using ABAQUS software. It is demonstrated that the equivalent analysis model can well describe the guided waves propagating along the whole sandwich plate at low frequencies.
[1] 方岱宁, 张一慧, 崔晓东. 轻质点阵材料力学与多功能设计[M]. 北京: 科学出版社, 2009: 5-23.
[2] Chen C, Lu T J, Fleck N A. Effect of imperfections on the yielding of two-dimensional foams [J]. Journal of the Mechanics and Physics of Solids, 1999, 47(11): 2235-2272.
[3] Bourasseau N, Moulin E, Delebarre C, et al. Radome health monitoring with Lamb waves: experimental approach [J]. NDT & E International, 2000, 33(6): 393-400.
[4] Hay T R, Wei L, Rose J L, et al. Rapid inspection of composite skin-honeycomb core structures with ultrasonic guided waves [J]. Journal of Composite Materials, 2003, 37(10): 929-939.
[5] Diamanti K, Soutis C, Hodgkinson J M. Lamb waves for the non-destructive inspection of monolithic and sandwich composite beams [J]. Composites Part A: Applied Science and
Manufacturing, 2005, 36(2): 189-195.
[6] Maslov K, Kundu T. Selection of Lamb modes for detecting internal defects in composite laminates [J]. Ultrasonics, 1997, 35(2): 141-150.
[7] 张海燕, 他得安, 刘镇清. 层状各向异性复合板中的兰姆波[M]. 北京: 科学出版社, 2008: 45-46.
[8] Song F, Huang G L, Hudson K. Guided wave propagation in honeycomb sandwich structures using a piezoelectric actuator/sensor system [J]. Smart Materials and Structures, 2009, 18(12): 1-8.
[9] Hosseini S M H, Gabbert U. Analysis of guided Lamb wave propagation (GW) in honeycomb sandwich panels [J]. PAMM, 2010, 10(1): 11-14.
[10] Lu Y, Ye L, Su Z, et al. Quantitative evaluation of crack orientation in aluminium plates based on Lamb waves [J]. Smart Materials and Structures, 2007, 16(5): 1907-1914.
[11] Yang C, Ye L, Su Z, et al. Some aspects of numerical simulation for Lamb wave propagation in composite laminates [J]. Composite Structures, 2006, 75(1): 267-275.
