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板壳结构中的非线性兰姆波

刘瑶璐 胡宁 邓明晰 赵友选 李卫彬

刘瑶璐, 胡宁, 邓明晰, 赵友选, 李卫彬. 板壳结构中的非线性兰姆波[J]. 力学进展, 2017, 47(1): 503-533. doi: 10.6052/1000-0992-16-032
引用本文: 刘瑶璐, 胡宁, 邓明晰, 赵友选, 李卫彬. 板壳结构中的非线性兰姆波[J]. 力学进展, 2017, 47(1): 503-533. doi: 10.6052/1000-0992-16-032
LIU Yaolu, HU Ning, DENG Mingxi, ZHAO Youxuan, LI Weibin. Nonlinear Lamb waves in plate/shell structures[J]. Advances in Mechanics, 2017, 47(1): 503-533. doi: 10.6052/1000-0992-16-032
Citation: LIU Yaolu, HU Ning, DENG Mingxi, ZHAO Youxuan, LI Weibin. Nonlinear Lamb waves in plate/shell structures[J]. Advances in Mechanics, 2017, 47(1): 503-533. doi: 10.6052/1000-0992-16-032

板壳结构中的非线性兰姆波——

doi: 10.6052/1000-0992-16-032
详细信息
    作者简介:

    胡宁, 教授, 51 岁, 1991 年在重庆大学获得固体力学博士学位, 先后在南京航空航天大学、日本东北大学、清华大学、Johns Hopkins 大学、日本千叶大学、湖南大学等单位工作, 2013 年回国时任日本千叶大学人工系统科学专攻(含机械、电子、医疗器械3 个系) 的专攻长、机械系主任、教授.现任重庆大学航空航天学院院长、澳洲QUT 兼职教授、南京航空航天大学客座教授、中国复合材料学会理事、日本复合材料学会评议员、重庆航空学会常务副理事长、国际智能结构委员会(ICAST) 委员、世界华人计算力学协会常务理事等职. 主要研究领域有: 固体力学; 金属与复合材料及其结构的力电热等性能评价、设计、反问题等; 结构与功能型工业与纳米复合材料制备与加工; 基于Lamb 超声波的结构和材料无损检测和实时监控技术等.目前担任Scientifc Reports (Nature 集团) 等9 份国际杂志(其中6 份SCI 杂志) 和2 份中、日杂志的副主编、牵头客座主编、编委等职. 出版了英文书籍2 部; 申报和获批日本、中国专利近10 项; 发表中、日、英期刊论文230 篇, 其中SCI 论文150 篇、被引用3200 次、H-index=30、多篇ESI 高被引论文作者、入选爱思唯尔中国学者高被引榜单(材料力学, 2014, 2015). 曾在40 多个国际、国内会议上做特邀、专题和大会报告等; 曾获得过国家基金委杰出青年基金(B 类,2007)、重庆市百人计划(短期项目, 2007)、四川省百人计划(短期项目, 2007)、国家千人计划特聘专家(创新型,A 类, 2013) 等荣誉.在中国和日本, 作为项目负责人和副主研获得的包括中国国家自然科学基金(主研: 杰青B类、重点项目1 项与面上项目2 项)、中国863 项目、中国科技部国际合作项目、日本国家科学基金、即日本文部省JSPS(日本学术振兴会) 科研补助费(S 级, A, B, C 级)、JST(日本科学技术振兴机构)、美国空军亚太地区研发机构、JAXA(日本宇宙航空研究开发机构)、东芝(株)、新日铁化学(株)、铃木汽车公司(株) 等单位在内的各项科研经费超过500 万美元.E-mail: ninghu@cqu.edu.cn

    邓明晰, 教授, 51 岁, 先后于四川大学、南京大学和同济大学获得理学学士、硕士和博士学位. 现任中国声学学会常务理事、重庆市声学学会副理事长、教育部近代声学重点实验室(南京大学) 学术委员. 长期从事超声学和非线性声学的理论、实验及应用研究, 先后负责7 项国家自然科学基金项目和1 项教育部新世纪优秀人才支持计划项目, 在科学出版社出版学术专著《固体板中的非线性兰姆波》, 发表学术论文180 余篇, 其中被SCI收录60 余篇、被EI 收录90 余篇. 在超声导波非线性研究方面取得一系列开创性成果, 发表的相关论文荣获中国声学学会会刊——《声学学报》年度最佳优秀论文奖, 以及第五届中国科协期刊优秀学术论文奖. 作为项目负责人, 获得国家教育部自然科学奖二等奖1 项(2013)、重庆市自然科学奖二等奖1 项(2013)、重庆市科技进步奖三等奖2 项(2000,2000); 作为项目主研人员, 获得国家科技进步奖二等奖1 项(2004)、上海市自然科学奖一等奖1 项(2015)、军队科技进步奖一等奖1 项(2000).E-mail: dengmx65@yahoo.com

  • 中图分类号: O347

Nonlinear Lamb waves in plate/shell structures

  • 摘要: 鉴于常规超声检测技术对分布式材料细微损伤和接触类结构损伤的检测效果不佳, 近年来非线性超声技术逐渐引起广泛关注. 超声波在板壳结构中通常以兰姆波的形式进行传播, 然而由于兰姆波的频散及多模特性, 使得非线性兰姆波的理论和实验研究进展缓慢. 本文从经典非线性理论出发,总结了源于材料固有非线性诱发的非线性兰姆波的理论和实验两个方面的研究进展, 并综述了兰姆波的二次谐波发生效应在材料损伤评价方面的若干应用; 从接触声非线性理论出发, 讨论了目前由于接触类结构损伤诱发的非线性兰姆波的研究现状. 最后展望了非线性兰姆波的未来研究重点及发展趋势.

     

  • 图  1  水平剪切波的传播,其中传播方向为x1,质点位移方向为x3

    图  2  铝板中的SH模态的相速度频散曲线(cT=3 100 m/s)其中实线代表对称模态虚线代表反对称模态

    图  3  对称型兰姆波(S模式)和反对称型兰姆波(A模式)

    图  4  兰姆波在铝板中传播的频散曲线.(a)相速度,(b)群速度

    图  5  在厚度为h的YZ-LiNbO3压电薄板中伴随基频导波模式传播所发生的二倍频导波模式在薄板表面的振幅随传播距离的关系曲线.(a)离面位移,(b)面内位移(Deng & Xiang 2015)

    图  6  基波为S0波(0.5 MHz)时二次谐波幅值和传播距离之间的关系(Chillara & Lissenden 2016)

    图  7  在铝板的相速度频散曲线中显示基波和二次谐波之间相速度的关系(Chillara & Lissenden 2016)

    图  8  基波为S1波(3.6 MHz)时二次谐波幅值和传播距离之间的关系(Chillara & Lissenden 2016)

    图  9  三种应力状态下兰姆波的群速度随板内应力变化的相对改变(Pau & Scalea 2015)

    图  10  三种应力状态下二次谐波位移分量的变化曲线(Pau & Scalea 2015)

    图  11  非线性超声实验测量系统

    图  12  基频与二倍频兰姆波的频散曲线(P点: c(ω) =c(2ω))(Deng et al. 2005)

    图  13  频率为5.099 MHz时二次谐波幅值与基频兰姆波振幅平方比值与传播距离的关系曲线(Deng et al. 2005)

    图  14  铝板(6061-T6型号)中三组模式对的归一化非线性系数cβ2 A2 /A12 ω 2 与传播距离的关系(Liu et al. 2012)

    图  15  S1-S2模式对、S2-S4模式对的非线性系数与传播距离的关系(Matlack et al. 2011)

    图  16  一定传播距离处相对非线性系数β' = A2A12与激励电压的关系(Bermes et al. 2008)

    图  17  在不同型号铝板中S1-S2模式对的相对非线性系数β' = A2A12与传播距离的关系(Bermes et al. 2008)

    图  18  超声兰姆波的归一化应力波因子与循环次数的关系(邓明晰 & 裴俊峰,2008).(a)基波,试件#A,(b)二次谐波试件#A,(c)基波试件#B,(d)二次谐波,试件#B

    图  19  频率为2.45 MHz时兰姆波声非线性系数与热退化时间的关系(Xiang et al. 2011)

    图  20  比较兰姆波的群速度、衰减系数和相对声非线性系数对热疲劳加载周期数的敏感度(Li et al. 2012)

    图  21  兰姆波的非线性与塑性变形的关系(Pruell et al. 2007)

    图  22  实验方案示意图(Rauter & Lammering 2015)

    图  23  实验结果:(a)群速度与冲击能量的关系(b)相对超声非线性系数与冲击能量的关系(Rauter & Lammering 2015)

    图  24  超声波传播通过呼吸裂纹示意图(Shen & Giurgiutiu 2012)

    图  25  S1-S2模式对的非线性系数与传播路径到裂纹的距离的关系(Hong et al. 2014)

    图  26  (a)铆钉圆孔边疲劳初期裂纹的检测方案示意图(单位mm,疲劳微裂纹被放大示意),(b)检测结果图(Hong et al. 2014)

    表  1  三种粘接情形的非线性兰姆波实验结果(邓明晰2015)

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出版历程
  • 收稿日期:  2016-10-17
  • 网络出版日期:  2017-01-20
  • 刊出日期:  2017-02-24

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