变厚度板中Lamb波传播的模态转换特性
Characteristic of Mode Conversion of Lamb Wave in a Plate with Variable Thickness
摘 要
针对常见的阶梯型、斜面型和圆弧型厚度变化形式，定义倾斜角/弦切角为基本变量，采用有限元软件ANSYS分析了激励A0模态传播特性，研究了模态转换后产生的A0和S0模态反射系数和透射系数随角度变化的规律。分析结果表明，随着倾斜角/弦切角的增大，A0透射系数逐渐减小，A0模态转换产生的反射和透射的S0幅值随之增大，不同激励频率下A0模态的模态转换特性存在差别，并且圆弧型和斜面型变厚度结构的反射系数和透射系数存在一定的差值。为变厚度板结构缺陷检测的Lamb波散射信号分析提供了理论依据，有利于提高变厚度板缺陷识别的准确度。
Lamb波
模态转换
反射系数
透射系数
plate-like structures with thickness variation
Lamb wave
mode conversion
reflection index
transmission index
Abstract
Three typical thickness variations of plate-like structures are analyzed in this paper, the stepped, linear, and circular thickness variation. The angle is defined as basic variable, and the effects on the mode conversion behavior are investigated by using ANSYS software. The relationship between the reflection and transmission coefficients of turning modes A0 and S0 and the angle of linear slope and osculation is obtained. The results show that the transmission coefficient of A0 mode is decreased with the increasing of the angle, but the reflection and transmission coefficients of the turning modes A0 and S0 are increased. The excitation frequency has influence on the mode conversion behavior of the plate with variable thickness. There is certain difference of the reflection and transmission coefficients of the turning modes A0 and S0 between the linear and circular thickness variation. These results are significant to analyze the scattered signals of Lamb wave, thus can improve the accuracy of flaw detection of plate-like structures.
中图分类号 TB559 TG115.28 DOI 10.11973/wsjc201811017
所属栏目 科研成果与学术交流
基金项目 国家自然科学基金资助项目（11572125）；湖南省教育厅优秀青年资助项目（16B093）
收稿日期 2018/7/3
修改稿日期
网络出版日期
作者单位点击查看
备注沈意平(1981-),女,博士,副教授,主要从事智能材料与结构、无损检测、风电技术与装备等方面的研究
引用该论文: SHEN Yiping,ZHU Zhijun,WANG Songlai,LI Xuejun. Characteristic of Mode Conversion of Lamb Wave in a Plate with Variable Thickness[J]. Nondestructive Testing, 2018, 40(11): 70～74
沈意平,朱智军,王送来,李学军. 变厚度板中Lamb波传播的模态转换特性[J]. 无损检测, 2018, 40(11): 70～74
共有人对该论文发表了看法，其中：
人认为该论文很差
人认为该论文较差
人认为该论文一般
人认为该论文较好
人认为该论文很好
参考文献
【1】ANNAMARI A,ACHILLOPOULO U, DIMITRA V. Interaction of shear and Rayleigh-Lamb waves with notches and voids in plate waveguides[J]. Materials, 2017, 10(7):841.
【2】WANG S,HUANG S,ZHAO W. Simulation of Lamb wave's interactions with transverse internal defects in an elastic plate[J]. Ultrasonics, 2011, 51(4):432-440.
【3】GRAVENKAMP H. Efficient simulation of elastic guided waves interacting with notches, adhesive joints, delaminations and inclined edges in plate structures[J]. Ultrasonics, 2018, 82:101-113.
【4】SCHAAL C,MAL A. Lamb wave propagation in a plate with step discontinuities[J]. Wave Motion, 2016, 66:177-189.
【5】凤飞龙,陈文生. 阶梯板兰姆波散射特征模式展开法研究[J]. 失效分析与预防, 2012, 7(1):19-24.
【6】XU K,TA D,SU Z, et al. Transmission analysis of ultrasonic Lamb mode conversion in a plate with partial-thickness notch[J]. Ultrasonics, 2014, 54(1):395-401.
【7】EL-KETTANI E C,LUPPÉ F,GUILLET A. Guided waves in a plate with linearly varying thickness:experimental and numerical results[J]. Ultrasonics, 2004, 42(1/9):807-812.
【8】PREDOI M V M,MECE K, HAMITOUCHE Z, et al. Guided waves in plates with linear variation of thickness[J]. Journal of the Acoustical Society of America, 2008, 123(5):5293-5297.
【9】MARICAL P,ELKETTANI M E,PREDOI M V. Guided waves in elastic plates with Gaussian section variation:Experimental and numerical results[J]. Ultrasonics, 2007, 47(1/4):1-9.
【10】JENOT F,OUAFTOUH M,OURAK M. Finite element modeling of guided waves propagation in plates with variable thickness[C]//Proceedings of the international Congress on Ultrasonics.[S.l.]:[s.n.],2007:1-4.
【11】NURMALI A,NAKAMURA N,OGI H, et al. Mode conversion behavior of SH guided wave in a tapered plate[J]. NDT & E International,2012,45(1):156-161.
【12】RAMADAS C,PADIYAR J, BALASUBRAMANIAM K, et al. Lamb wave based ultrasonic imaging of interface delamination in a composite T-joint[J]. NDT & E International, 2011, 44(6):523-530.
【13】RAMADAS C,BALASUBRAMANIAM K,JOSHI M, et al. Interaction of Lamb mode (A0) with structural discontinuity and generation of "Turning modes" in a T-joint[J]. Ultrasonics, 2011, 51(5):586-595.
【14】尚世同,尚瑜娟. 超声板波法在变厚度板检测中的应用[J]. 无损检测, 1998, 20(3):80-82.
【15】田光春,刘镇清,景永刚. 台阶型厚度变化板中导波的研究[J]. 无损检测, 2003, 25(7):333-336.
【16】田光春,刘镇清,景永刚. 斜面型厚度变化板中导波的研究[J]. 声学技术, 2004, 23(1):39-42.
【17】李喜朋. 变厚度板超声导波检测理论与技术[D]. 北京:北京理工大学, 2014.
【2】WANG S,HUANG S,ZHAO W. Simulation of Lamb wave's interactions with transverse internal defects in an elastic plate[J]. Ultrasonics, 2011, 51(4):432-440.
【3】GRAVENKAMP H. Efficient simulation of elastic guided waves interacting with notches, adhesive joints, delaminations and inclined edges in plate structures[J]. Ultrasonics, 2018, 82:101-113.
【4】SCHAAL C,MAL A. Lamb wave propagation in a plate with step discontinuities[J]. Wave Motion, 2016, 66:177-189.
【5】凤飞龙,陈文生. 阶梯板兰姆波散射特征模式展开法研究[J]. 失效分析与预防, 2012, 7(1):19-24.
【6】XU K,TA D,SU Z, et al. Transmission analysis of ultrasonic Lamb mode conversion in a plate with partial-thickness notch[J]. Ultrasonics, 2014, 54(1):395-401.
【7】EL-KETTANI E C,LUPPÉ F,GUILLET A. Guided waves in a plate with linearly varying thickness:experimental and numerical results[J]. Ultrasonics, 2004, 42(1/9):807-812.
【8】PREDOI M V M,MECE K, HAMITOUCHE Z, et al. Guided waves in plates with linear variation of thickness[J]. Journal of the Acoustical Society of America, 2008, 123(5):5293-5297.
【9】MARICAL P,ELKETTANI M E,PREDOI M V. Guided waves in elastic plates with Gaussian section variation:Experimental and numerical results[J]. Ultrasonics, 2007, 47(1/4):1-9.
【10】JENOT F,OUAFTOUH M,OURAK M. Finite element modeling of guided waves propagation in plates with variable thickness[C]//Proceedings of the international Congress on Ultrasonics.[S.l.]:[s.n.],2007:1-4.
【11】NURMALI A,NAKAMURA N,OGI H, et al. Mode conversion behavior of SH guided wave in a tapered plate[J]. NDT & E International,2012,45(1):156-161.
【12】RAMADAS C,PADIYAR J, BALASUBRAMANIAM K, et al. Lamb wave based ultrasonic imaging of interface delamination in a composite T-joint[J]. NDT & E International, 2011, 44(6):523-530.
【13】RAMADAS C,BALASUBRAMANIAM K,JOSHI M, et al. Interaction of Lamb mode (A0) with structural discontinuity and generation of "Turning modes" in a T-joint[J]. Ultrasonics, 2011, 51(5):586-595.
【14】尚世同,尚瑜娟. 超声板波法在变厚度板检测中的应用[J]. 无损检测, 1998, 20(3):80-82.
【15】田光春,刘镇清,景永刚. 台阶型厚度变化板中导波的研究[J]. 无损检测, 2003, 25(7):333-336.
【16】田光春,刘镇清,景永刚. 斜面型厚度变化板中导波的研究[J]. 声学技术, 2004, 23(1):39-42.
【17】李喜朋. 变厚度板超声导波检测理论与技术[D]. 北京:北京理工大学, 2014.
相关信息
