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Article(id=1244280827778020050, tenantId=1146029695717560320, journalId=1243978990336127019, issueId=1244280827157263057, articleNumber=null, orderNo=null, doi=10.7520/1001-4888-24-175, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1731945600000, receivedDateStr=2024-11-19, revisedDate=1735920000000, revisedDateStr=2025-01-04, acceptedDate=null, acceptedDateStr=null, onlineDate=1774589266962, onlineDateStr=2026-03-27, pubDate=1753977600000, pubDateStr=2025-08-01, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1774589266962, onlineIssueDateStr=2026-03-27, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774589266962, creator=13701087609, updateTime=1774589266962, updator=13701087609, issue=Issue{id=1244280827157263057, tenantId=1146029695717560320, journalId=1243978990336127019, year='2025', volume='40', issue='4', pageStart='387', pageEnd='538', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1774589266813, creator=13701087609, updateTime=1774589721933, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1244282736148595306, tenantId=1146029695717560320, journalId=1243978990336127019, issueId=1244280827157263057, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1244282736148595307, tenantId=1146029695717560320, journalId=1243978990336127019, issueId=1244280827157263057, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=387, endPage=397, ext={EN=ArticleExt(id=1244280827962569428, articleId=1244280827778020050, tenantId=1146029695717560320, journalId=1243978990336127019, language=EN, title=Analysis of local vibration characteristics and non-destructive testing methods for lattice sandwich structures, columnId=null, journalTitle=Journal of Experimental Mechanics, columnName=null, runingTitle=null, highlight=null, articleAbstract=

Lattice sandwich structures have drawn considerable attention in engineering applications owing to their exceptional specific strength, specific stiffness, and outstanding impact resistance. Regarding structural dynamic performance, current research predominantly concentrates on global vibration responses while overlooking the influence of local vibration characteristics of lattice trusses on dynamic behavior as fundamental aspects for nondestructive evaluation techniques. This investigation systematically examined the local vibration properties and damage detection methods for lattice sandwich structures. Firstly, combined numerical simulations and experimental measurements were conducted to analyze the effects of lattice trusses on guided wave propagation characteristics. Signal processing through Fourier analysis and wavelet transform revealed distinct energy concentrations at specific frequency peaks. Furthermore, by correlating the guided wave signals with local resonance modes of lattice unit cells, we demonstrated that these characteristic frequency peaks were intrinsically determined by the vibrational modal frequencies of lattice trusses, particularly their axial compression-tension vibration modes. Based on these findings, an innovative damage identification methodology is developed that utilizes the frequency peak shifts in wave signals for structural integrity assessment. The proposed approach is numerically validated, with results confirming its effectiveness in both damage detection and localization for lattice truss structures.

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点阵夹芯板因具有高比强度、高比刚度、强抗冲击性等特点而受到广泛的关注。在结构动态力学性能方面，目前大部分研究仅关注结构整体振动响应，忽略了点阵桁架局部振动特性对结构动态性能的影响，而这种影响正是无损检测方法的基础。为研究点阵夹芯结构局部振动特性和无损检测方法，首先，本文从数值模拟和实验测试2个方面研究点阵桁架对结构中导波传播的影响，并对波信号进行傅里叶分析和小波变换，结果表明波信号会集中在某些峰值。然后，通过分析导波信号和点阵单胞的局部共振模态，证明了波信号频率峰的位置取决于点阵桁架的振动模态频率，尤其是拉压轴向振动模态频率。最后，本文提出了一种利用波信号频率峰位置的变化对点阵桁架进行损伤识别的方法，并通过数值模拟进行了验证，结果表明该方法能有效地检测和定位桁架的损伤。

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励争（1964－），女，教授，博士生导师。主要从事实验固体力学、无损检测技术、超材料等研究。Email：;
周洁（1989－），男，讲师，硕士生导师。主要从事实验固体力学、复杂结构无损检测技术等研究。Email：
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点阵夹芯结构局部振动特性分析及无损检测方法研究
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杨猛 1 , 周洁 2 , 励争 1 , 冯侃 3 , 陈建霖 1
实验力学 | 2025,40(4): 387-397
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实验力学 | 2025, 40(4): 387-397
点阵夹芯结构局部振动特性分析及无损检测方法研究
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杨猛1, 周洁2 , 励争1 , 冯侃3, 陈建霖1
作者信息
  • 1.北京大学工学院，北京 100871
  • 2.东莞理工学院材料科学与工程学院，广东东莞 523808
  • 3.江苏大学土木工程与力学学院，江苏镇江 212013

通讯作者:

励争（1964－），女，教授，博士生导师。主要从事实验固体力学、无损检测技术、超材料等研究。Email：;
周洁（1989－），男，讲师，硕士生导师。主要从事实验固体力学、复杂结构无损检测技术等研究。Email：
Analysis of local vibration characteristics and non-destructive testing methods for lattice sandwich structures
Meng YANG1, Jie ZHOU2 , Zheng LI1 , Kan FENG3, Jianlin CHEN1
Affiliations
  • 1.College of Engineering, Peking University, Beijing 100871, China
  • 2.School of Materials Science and Engineering, Dongguan University of Technology, Dongguan 523808, Guangdong, China
  • 3.Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, Jiangsu, China
出版时间: 2025-08-01 doi: 10.7520/1001-4888-24-175
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摘要
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点阵夹芯板因具有高比强度、高比刚度、强抗冲击性等特点而受到广泛的关注。在结构动态力学性能方面，目前大部分研究仅关注结构整体振动响应，忽略了点阵桁架局部振动特性对结构动态性能的影响，而这种影响正是无损检测方法的基础。为研究点阵夹芯结构局部振动特性和无损检测方法，首先，本文从数值模拟和实验测试2个方面研究点阵桁架对结构中导波传播的影响，并对波信号进行傅里叶分析和小波变换，结果表明波信号会集中在某些峰值。然后，通过分析导波信号和点阵单胞的局部共振模态，证明了波信号频率峰的位置取决于点阵桁架的振动模态频率，尤其是拉压轴向振动模态频率。最后，本文提出了一种利用波信号频率峰位置的变化对点阵桁架进行损伤识别的方法，并通过数值模拟进行了验证，结果表明该方法能有效地检测和定位桁架的损伤。

点阵夹芯结构  /  局部振动  /  波传播  /  损伤识别

Lattice sandwich structures have drawn considerable attention in engineering applications owing to their exceptional specific strength, specific stiffness, and outstanding impact resistance. Regarding structural dynamic performance, current research predominantly concentrates on global vibration responses while overlooking the influence of local vibration characteristics of lattice trusses on dynamic behavior as fundamental aspects for nondestructive evaluation techniques. This investigation systematically examined the local vibration properties and damage detection methods for lattice sandwich structures. Firstly, combined numerical simulations and experimental measurements were conducted to analyze the effects of lattice trusses on guided wave propagation characteristics. Signal processing through Fourier analysis and wavelet transform revealed distinct energy concentrations at specific frequency peaks. Furthermore, by correlating the guided wave signals with local resonance modes of lattice unit cells, we demonstrated that these characteristic frequency peaks were intrinsically determined by the vibrational modal frequencies of lattice trusses, particularly their axial compression-tension vibration modes. Based on these findings, an innovative damage identification methodology is developed that utilizes the frequency peak shifts in wave signals for structural integrity assessment. The proposed approach is numerically validated, with results confirming its effectiveness in both damage detection and localization for lattice truss structures.

lattice core sandwich structure  /  local vibration  /  wave motion  /  damage identification
杨猛, 周洁, 励争, 冯侃, 陈建霖. 点阵夹芯结构局部振动特性分析及无损检测方法研究. 实验力学, 2025 , 40 (4) : 387 -397 . DOI: 10.7520/1001-4888-24-175
Meng YANG, Jie ZHOU, Zheng LI, Kan FENG, Jianlin CHEN. Analysis of local vibration characteristics and non-destructive testing methods for lattice sandwich structures[J]. Journal of Experimental Mechanics, 2025 , 40 (4) : 387 -397 . DOI: 10.7520/1001-4888-24-175
正文
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0 引言
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夹芯结构因在结构轻量化、比刚度和比强度[1－2]、抗冲击性[3－7]及声学吸收[8－10]等方面具有优异性能，目前在交通、能源和航空航天等领域得到了广泛应用。夹芯结构因其夹芯不同，可以分为泡沫夹芯结构、蜂窝夹芯结构及点阵夹芯结构等。与传统的蜂窝夹芯和泡沫夹芯相比，点阵夹芯在功能可定制性和结构设计灵活性上具有明显的优势。目前，对点阵夹芯结构的研究主要集中在静态和动态特性[11－14]、抗冲击隔声隔振[15－16]及热传导[17－18]等方面。然而，在针对点阵夹芯结构动力学特性的研究中，很少关注点阵夹芯局部特性对结构动力学的影响，而该影响对研究点阵夹芯结构的无损检测有重要意义。
在基于振动[19－21]和导波[22－24]的无损检测方法中，对结构动态力学特性的研究至关重要。然而，点阵夹芯的局部特性通常被认为过于复杂，难以对其进行理论研究。在振动特性分析方面，LOU等[25]从理论上研究了简支夹层梁的自由振动行为；CHEN等[26]对几何非线性引起的复合材料点阵夹芯结构的非线性振动进行了参数化研究；CUI等[27]研究了金属点阵夹芯结构在冲击载荷下的动态响应。在波动特性方面，已有研究通过数值模拟参数分析了蜂窝夹芯结构中的导波传播[28]。然而，上述研究将点阵夹芯板或蜂窝夹芯板均质化[29]，并将它们视为等效均匀结构，但这种方法忽略了夹芯的局部不连续性。夹芯的不连续性会影响夹芯结构中的导波传播[14]，而导波传播问题是研究点阵夹芯无损检测方法的基础。
由于点阵夹芯板夹芯的大空隙会阻碍超声波传播，因此传统的超声检测方法难以识别夹芯和底面板中的损伤。相比之下，基于振动和导波的无损检测方法在检测点阵夹芯板损伤方面有更大的潜力。然而，点阵夹芯结构的复杂性和损伤类型多样性导致有效的无损检测方法较少。LI等[30]发展了间隙平滑方法与Teager能量算子相结合的方法来检测点阵夹芯结构中的损伤，该方法抑制了夹芯结构不连续性的影响，但是降低了对小损伤的灵敏度。LU等[31－32]采用振动方法研究了金属点阵夹芯板中夹芯的损伤识别。ZHOU等[19]利用结构的周期性特征和二维连续小波变换方法，实现了对点阵夹芯结构中脱黏损伤的检测。然而，上述方法[19，30－32]均采用抑制点阵夹芯的不连续性对振动响应的影响，导致针对点阵夹芯结构的损伤识别方法复杂且精度较低，且不能用于识别夹芯的局部损伤。在导波检测方面，尽管已有一些方法[33－34]用于检测蜂窝夹层结构中的脱黏，但针对点阵夹芯板的损伤检测方法仍很少[35]。在点阵夹芯板中，导波会在界面处产生复杂的反射、透射及波形转换等行为，导致难以从波信号中提取损伤信息。本文针对点阵夹芯结构中导波传播问题，采用傅里叶变换（FT，Fourier Transform）和连续小波变换（CWT，Continuous Wavelet Transform）相结合的方式研究波信号，以揭示夹芯的局部振动对波信号的影响，其中FT可以提供信号在频域的整体分布，而CWT则可以提供信号在时域和频域的分布[36]。
1 点阵夹芯结构中的波传播
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典型的点阵夹芯结构是由上下2层面板和1个点阵桁架夹芯组成的。导波在结构中传播时，会在面板与夹芯的连接处发生波反射、透射和波形转换等相互作用。由于点阵夹芯具有周期性，理论上当导波传至点阵桁架，即可在桁架内来回反射，从而对面板产生周期性和持续性激励。针对这种复杂的波传播行为，本文分别采用有限元数值模拟方法和实验方法进行研究。
1.1 点阵夹芯梁中波传播的数值模拟
本文采用有限元软件ABAQUS计算点阵夹芯结构中的波传播问题。计算模型为包含1×16个金字塔形点阵单胞的梁，命名为梁Ⅰ，如图1（a）所示，每个单胞的几何参数如图1（b）所示，材料的密度、弹性模量和泊松比分别为2700 kg/m3、70 GPa和0.3。本文选择汉宁窗调制的5.5周期正弦波信号（中心频率为250 kHz）作为激励信号，信号在时域和频域的分布如图2所示（图中幅值代表信号的波动形式，没有单位），此激励信号定义为信号Ⅰ，激励方式如图1（c）所示。分别选择S4R单元和B31单元作为面板单元和夹芯单元，单元大小选择0.5 mm以保证每个波长长度内至少有6个单元。采用显式分析步，计算激励开始后0.5 ms内点阵夹芯结构中的导波传播。8个采样点选取如图1（d）所示，采样点A、B、C、D位于受激励一侧，而A1、B1、C1、D1位于另一侧。在计算结果中提取各采样点的离面位移。
测量点的计算结果如图3所示，由图可看出，除了波前的到达时间外，难以从波信号中提取其他有效信息。FT能将时域信号转换到频域，并在频域中提供信号的完整分布和全局视图，从而可为分析波信号提供新的视角。将图3中的信号进行快速傅里叶变换（FFT，Fast Fourier Transform），结果如图4所示。与初始激励信号Ⅰ的频率分布（图4的黑色虚线）相比，所有波信号集中在特定频率区间，即在210 kHz到220 kHz之间。相比于下面板，上面板的波信号更为复杂，有更多频域峰。这是因为上面板传播的波信号既来源于信号Ⅰ，也来源于桁架的持续性激励；而下面板中的波信号只是由桁架对面板的持续性激励引起的。
在需要同时具备时间和频率分辨率的信号处理时，CWT比FT更有效[36]。对任意平方可积函数f（t）的连续小波变换，CWT定义为[37]
式中：Wf为小波变换的结果，即小波系数；f和ψ分别为原始信号函数和小波函数；上划线代表函数的复共轭；a和b分别为小波函数的尺度因子和平动因子。本文中，选择复Morlet小波用于对信号的时频分析，其母函数的表达式为
通过式（1）计算图3中的波信号，可得到小波系数，其模值即波信号在时频域的分布如图5所示。在图5中，所有波信号在210 kHz~220 kHz均有明显峰值，而且下面板信号比上面板信号频率范围更为集中。上面板的波信号受到激励信号和点阵夹芯持续性反射波的影响，而下面板的波信号，仅受到点阵夹芯持续性反射波激励，除了靠近边界处D1的结果相对复杂外，A1、B1、C1点在210 kHz~220 kHz有明显的大幅值，这些幅值与图4中的频率峰相对应。在FFT和CWT结果中波信号在210 kHz~220 kHz频段均有集中的峰值，而实验中是否也会出现相似的现象呢，为此在1.2节对点阵夹芯梁中波传播进行了实验测试。
1.2 点阵夹芯梁中波传播的实验测试
在本节中，通过实验研究点阵夹芯结构中的波传播行为，实验装置如图6所示。待测试件为金字塔型单胞的点阵夹芯梁，将直径为5.4 mm、厚度为1 mm的压电晶片粘贴于结构中心用于激励波信号。激励信号由信号发生器（RIGOL，DG1022）产生，通过功率放大器（Brüel & Kjær，Type KH7602）放大，传输至压电片激励结构，并使用扫描式激光多普勒测振仪（SLDV，Polytec，PSV 500）从排列在底部面板中心线上的45个测量点获取信号。
首先，选择中心频率为150 kHz、3周期汉宁窗调制的正弦波信号作为激励信号，信号在频域中分布于50 kHz~250 kHz。经过测量，获取了45个测量点的波信号，通过FFT进行分析，每个波信号的频域分布结果及结果相加的总和如图7所示。从图7中可以看出，波信号在173 kHz附近出现最高峰值，而该频率并不是激励信号的中心频率（150 kHz）成分，这说明频率在173 kHz的波占据主导地位。为进一步研究该现象，另选择中心频率为250 kHz的激励信号，其频段为100 kHz~400 kHz，测点波信号的FFT结果及其结果相加的总和如图8所示，最大峰值仍位于173 kHz处。图8中173 kHz的峰值远小于图7中的，这是由于激励信号的173 kHz成分变小所致。总而言之，实验中点阵夹芯结构中的波信号也集中在某一频段（173 kHz），这与数值模拟的结果是一致的。我们推测这种现象源于点阵夹芯的局部共振对点阵面板产生持续性的激励，为验证这种推测，将在2.1节对点阵夹芯的振动特性进行研究。
2 点阵夹芯对波传播特性的影响
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2.1 点阵夹芯的局部振动
为研究点阵夹芯的振动特性，通过ABAQUS中的频率分析步计算了梁Ⅰ在200 kHz~250 kHz的模态振型，结果显示，一系列密集分布的模态振型集中在214 kHz~220 kHz，振动模式均为点阵夹芯桁架的拉压模态或弯曲模态。梁Ⅰ典型振动模态如图9所示，214 kHz处的模态为桁架梁的弯曲模态，而220 kHz处的模态为梁的轴向拉压模态。为了研究桁架局部振动，对点阵单胞进行模态分析，计算其在200 kHz~300 kHz的振动模态，桁架局部振动模态如图10所示。点阵单胞在214 kHz和220 kHz处的振动模态（图10（a）和图10（b））与梁Ⅰ在图9中的模态一致，两图中的振动模态均是点阵夹芯桁架局部振动的结果，模态频率也与图4中波信号的频率峰位置一致。其原因是，在214 kHz和220 kHz的频率下，由于导波激励桁架达到共振状态，使桁架的波信号幅值因共振效应而放大，桁架中波传播会持续激励面板，最终结果是面板的波信号集中在桁架共振的频率上。我们注意到，在图10（c）中夹芯桁架在263 kHz处也存在弯曲振动模态，而263 kHz在激励信号Ⅰ的频率范围内且幅值较大，但图4和图5的波信号中均未出现明显的263 kHz峰值。这表明点阵夹芯桁架的轴向拉压模态可能对面板导波信号的频域分布起主导作用，因为在夹芯桁架的轴向拉压模态频率下，桁架会发生局部共振且会持续激励面板产生较大离面位移，导致面板中的波信号在频域中集中于夹芯桁架的共振频率附近。
为了进一步验证桁架轴向拉压模态对面板导波的影响，我们选择3个5.5周期汉宁窗调制的正弦信号，中心频率分别为220 kHz、275 kHz和300 kHz，并分别命名为激励信号Ⅱ、Ⅲ和Ⅳ，信号在时频域的分布如图11所示（图中幅值无单位）。这3个信号均有210 kHz~220 kHz的频率组分，但幅值有所不同。
其他条件不变的情况下，用ABAQUS分别计算梁Ⅰ在信号Ⅱ、Ⅲ和Ⅳ激励下的响应，分析测点波信号，波信号的FFT和CWT结果如图12所示。图12中所有波信号均包含220 kHz附近的频率成分：由信号Ⅱ激励的波信号在220 kHz处有最大的频率峰；由信号Ⅲ激励的信号在220 kHz处也有高幅值，约为信号Ⅱ的1/3，但CWT结果显示波信号有更高赋值的250 kHz~350 kHz的频率组分。这是因为激励信号Ⅲ的频率组分在250 kHz~350 kHz有高幅值（图12（b）中FFT结果里的黑色虚线）；分析激励信号Ⅳ的结果，尽管图11（c）中激励信号220 kHz的幅值很小，但图12（c）中的波信号仍在220 kHz处有明显的频率峰，这直接说明了220 kHz的振动模态对波信号起到主要影响，250 kHz~350 kHz内的峰值也源于激励信号Ⅳ的频率分布。图12的结果表明，220 kHz的轴向拉压模态对梁Ⅰ面板的离面位移起到主导作用，即使激励信号中该频率成分幅值很小，也可通过桁架的共振放大作用在面板波信号中有较高幅值，相比而言，梁弯曲模态只有较小影响。总之，点阵夹芯桁架的轴向拉压模态是波信号在频域中分布的主要影响因素。
2.2 点阵夹芯的材料参数对结构波传播的影响
本文进一步研究了点阵夹芯的材料参数对波信号的影响。根据梁的振动理论，梁存在3种振动模态，即轴向拉压模态、扭转模态和弯曲模态，其模态频率可分别表示为
式中：fi(i＝1，2，3)分别为梁的拉伸模态、扭转模态和弯曲模态的特征频率；E和G分别为梁材料的弹性模量和剪切模量；Iρ和I为梁截面的极惯性矩和惯性矩；J为转动惯量；ρ为材料线密度；kni(i＝1，2，3)是待定系数，与边界条件、梁长度、模态阶数等因素有关。对夹芯中的梁，由于边界条件未定，因此kni也无法直接确定，但对确定的夹芯结构，边界条件和几何参数是不变的，因此kni是固定常数，不会改变结构中的波传播。
根据2.1的结论，点阵夹芯桁架的轴向拉压模态是波信号在频域中分布的主要影响因素，夹芯桁架的轴向拉压模态主导面板波信号频域峰的位置。我们可以通过调控夹芯桁架的弹性模量变化来影响夹芯的轴向拉压模态频率，从而影响面板波信号频率峰的位置。将点阵夹芯梁Ⅰ（图1）中夹芯的弹性模量从70 GPa减小到35 GPa，将修改后的模型定义为点阵夹芯梁Ⅱ。由式（3）可知，由于kni是固定常数，弹性模量降低至原来的1/2，则桁架的轴向拉压模态频率应降低至原来的，即从220 kHz降至156 kHz。对梁Ⅱ使用中心频率150 kHz的5.5周期汉宁窗调制的正弦信号（信号V）激励，并将点A1和B1的波信号进行FFT和CWT，结果如图13所示。
在图13（a）中，频域峰集中在150 kHz~160 kHz，最高峰恰好出现在156 kHz；在图13（b）中，信号在频域上集中在150 kHz~160 kHz。这符合根据式（3）所得出的模态频率与材料参数之间的关系，因此可以证明夹芯的弹性模量对波信号的频率峰位置有显著影响。
3 基于波传播的点阵夹芯结构夹芯的损伤识别方法
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通常结构损伤会导致刚度的衰减，在点阵夹芯结构中夹芯刚度的减小，会通过改变夹芯桁架轴向拉压振动的模态频率引起面板导波频率峰的改变。基于这一特性，可以通过分析导波信号频率成分的改变来检测夹芯损伤。为验证损伤识别方法的可行性，将点阵夹芯梁Ⅰ中测点A和B之间的2个单胞替换成损伤单胞，损伤单胞桁架的弹性模量为35 GPa，定义含2个损伤单胞的模型为梁Ⅲ。
我们对信号Ⅱ激励下点阵夹芯梁Ⅲ中的导波传播进行数值模拟，采样点A1、B1、C1、D1波信号的FFT和CWT结果如图14所示。与健康结构梁Ⅰ的结果（图11（a））相比，图14（a）中波信号均在156 kHz处出现与图13（a）相同位置的额外峰值，此峰是由于导波在刚度减小的损伤单胞中传播而产生的。夹芯损伤可通过频率峰值的出现来识别，并且损伤的程度可利用式（3）进行计算，损伤位置也可通过频率峰的幅值进行估计（点B1处156 kHz峰值的幅度明显大于其他点，说明损伤单元更接近点B1）。点阵夹芯的损伤、屈曲及面板与夹芯之间的界面脱黏是点阵夹芯结构损伤的主要类型，而这些损伤均会导致夹芯轴向振动频率的改变，因此，通过分析面板波信号的频率成分变化可以监测结构夹芯的健康状况，对夹芯损伤、脱黏损伤等实现监测，这个方法为点阵夹芯结构夹芯的损伤识别提供了一种思路。
尽管利用新出现的频率峰可以实现夹芯的损伤识别和评估，但仍存在一些局限。首先，本节所提方法仅对夹芯的损伤敏感，无法用于检测面板损伤；其次，损伤位置不能被精确识别；最后，本方法需要获得健康结构中波信号的频域分布作为基准，但实际应用中难以获取基准。尽管波信号包含很多损伤信息，但由于点阵夹芯结构中波的复杂性，分析波信号极具挑战性。在后续工作中，可将深度学习算法应用到分析复杂的波信号，深度学习方法可以通过处理复杂波信号反演结构刚度分布，这也是未来结构健康监测领域的重要方向之一。
4 结论
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本文研究了点阵夹芯结构中波信号与点阵夹芯局部振动之间的关系，得出以下结论：
1）数值模拟和实验结果表明，点阵夹芯结构面板中的波信号在频域上会集中到特定峰值，这些峰值的位置取决于夹芯桁架的局部振动。
2）夹芯的拉压振动模态频率是面板波信号中频率峰值位置的主导因素，改变夹芯材料属性会导致波信号频率峰的位置改变。
3）针对点阵夹芯结构，可以根据测点波信号频率峰的变化来监测点阵夹芯结构损伤是否存在，且根据频率峰位置幅值等信息能进一步判断夹芯损伤的位置和程度。
基金
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  • 国家自然科学基金项目(12102092; 12232001; 11702118)
文献
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文章信息
doi: 10.7520/1001-4888-24-175
  • 接收时间：2024-11-19
  • 首发时间：2026-03-27
  • 出版时间：2025-08-01
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出版历史
  • 收稿日期：2024-11-19
  • 修回日期：2025-01-04
基金
国家自然科学基金项目(12102092; 12232001; 11702118)
作者信息
    1.北京大学工学院，北京 100871
    2.东莞理工学院材料科学与工程学院，广东东莞 523808
    3.江苏大学土木工程与力学学院，江苏镇江 212013

通讯作者:

励争（1964－），女，教授，博士生导师。主要从事实验固体力学、无损检测技术、超材料等研究。Email：;
周洁（1989－），男，讲师，硕士生导师。主要从事实验固体力学、复杂结构无损检测技术等研究。Email：
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2种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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