金属板结构疲劳损伤二倍频兰姆波检测方法研究

针对重大基础设施安全运行需要,本文进行了金属板结构疲劳损伤非线性兰姆波检测方法研究。基于兰姆波二次谐波产生条件,确定了产生二次谐波积累增长效应的两种兰姆波模态及对应的激励频率。通过有限元仿真,研究了材料性能改变对兰姆波非线性效应的影响,证明了二倍频兰姆波非线性系数对材料性能退化表征的有效性。在此基础上,开展了金属板结构疲劳损伤非线性兰姆波检测实验研究。将极性反转方法应用于疲劳试件检测实验中,有效提高了检测信号中二倍频兰姆波的幅值和信噪比。实验结果表明,两种兰姆波模态对的二次谐波非线性系数均随疲劳损伤增加呈线性增长趋势,但基频S(0,2)模态和二倍频S(0,4)模态对对疲劳损伤检测的灵敏度更高,更适合金属板结构疲劳损伤检测。     

基于电磁声激励Lamb波的裂纹深度检测

本文采用电磁声传感器接收单一S₀模态激励,测量Lamb波在板中不同深度的槽形裂纹处的反射与透射,用于对已知扩展长度的表面裂纹进行深度测量。然后分析了Lamb波模态的频散与波动特性,由超声Lamb波的波结构,近似计算了S₀模态入射到裂纹时的反射系数。计算结果与实验结果一致。结果表明,Lamb波在有限长裂纹处的反射系数可采用二维模型中的反射系数求解公式近似求解。采用电磁超声传感器接收单一S₀模态激励,重复测量稳定性高,适用于Lamb波反射系数的测量。Lamb波的反射系数与裂纹深度有很好的对应关系,可用于板表面已知长度裂纹的深度测量。     

环缝宽度对旋转爆震发动机工作特性的影响

为研究环缝宽度对旋转爆震发动机(rotating detonation engine, RDE)工作特性的影响,在非预混RDE中进行实验,同时采用高频压力传感器、离子探针和高速摄影等测量设备,在同一入口质量流率的条件下,改变空气进气环缝宽度和燃烧室环缝宽度。获得了单波、双波、四波对撞及混合传播模态;当燃烧室环缝宽6 mm时,增加空气进气环缝宽度,爆震波由四波对撞转变为同向双波,最终以单波形式传播;而燃烧室环缝宽10或15 mm时,空气进气环缝宽度对爆震波传播模态的影响较小;此外,四波对撞模态下,爆震波压力峰值和离子信号峰值低于单波和双波模态时的值。     

周向超声导波在薄壁管道中的传播研究

本文研究了薄壁管道内周向导波的传播及其频散特性，并且通过对比薄壁板与薄壁管道内的导波，找出了一个比较简便研究周向导波的方法。并通过实验验证了周向导波的频散现象以及激励模态与斜探头楔型角的关系，并且认定在管道中可以激励出单一的周向导波模态。     

桥梁多模态耦合抖振控制方法研究

目前已证实调谐质量阻尼器(TM D)可以有效控制桥梁抖振响应,并已在工程中得到应用。然而,传统桥梁抖振被动控制理论是基于单模态叠加SRSS法,无法考虑多模态参与作用和模态间气动耦合效应,本文基于Scan lan多模态耦合抖振理论和多重调谐质量阻尼器(M TM D)被动控制理论,提出一种桥梁多模态耦合抖振M TM D控制方法,该方法可以考虑多模态参与作用、模态间气动耦合效应和单模态中各模态位移分量的气动耦合,且对各TM D在主梁上的安装位置没有任何限制。本文最后采用时域仿真方法对该方法进行了验证,两者计算结果吻合良好,表明本文所提出的方法的正确性。     

双模态发动机的模态鉴别方法

双模态冲压发动机的不同燃烧模态具有不同的稳焰机制和流态特征,并且在模态转换时伴随着显著的推力变化. 因此,准确判断燃烧模态,对于捕捉发动机的燃烧区位置/范围、释热分布特征,以及为进一步优化燃烧室的设计(流道结构和供油布局) 具有重要意义. 目前尚无鉴别模态的有效试验方法,本文提出了一种模态鉴别的试验方法,并在超燃直连台上开展验证试验. 试验中使用的测量技术包括:壁面静压、高速阴影/纹影、多通道可调谐二极管吸收光谱和高能态碳氢自由基CH* 自发光成像. 利用多种测量方法的组合,可以同时获得燃烧室中气流静温、速度、马赫数分布,释热分布以及燃烧区位置/范围. 这些试验数据能够用于判别模态,并获得不同模态的流动和火焰特征.      

圆盘结构下旋转爆震波传播特性的实验研究

为研究圆盘结构下旋转爆震波的传播特性,通过改变反应物的质量流率及当量比,在非预混圆盘形旋转爆震模型发动机（rotating denonation engine,RDE）上进行实验研究。结果表明,爆震波在圆盘形RDE上成功起始并能够连续传播,得到了两种传播模态:单波模态和双波模态,在发动机工作过程中发现,集气腔与燃烧室存在相互作用。当反应物质量流率小于159.20 g/s时,旋转爆震波以单波模态稳定传播,爆震波传播频率为4.56~4.62 kHz,越靠近燃烧室外圆,爆震波的压力峰值及传播速度越大;当质量流率大于186.89 m/s时,旋转爆震波以双波模态传播,传播频率为8.59~8.64 kHz。双波传播模态经历四个阶段:起爆阶段的单波段、稳定双波段、不稳定双波段、排气阶段转单波段。当质量流率介于159.20~186.89 g/s之间时,旋转爆震波以单/双波混合模态传播。反应物当量比在1附近时,爆震波的传播过程较稳定,偏离1,爆震波传播不稳定,初始阶段起爆失败或传播过程中存在间断。     

一种悬臂梁模态测试方法

基于欧拉–伯努利梁理论得到悬臂梁自由振动的振型函数。通过数值计算得出实验用的悬臂梁前五阶振型的节点位置及其与梁长的比值。考虑传感器对悬臂梁固有频率的影响,建立梁–传感器模型进行仿真分析并得出悬臂梁前五阶固有频率。基于节点位置和测点位置,在实验中选择激励点。将具体实验的结果与梁–传感器仿真模型结果进行对比,通过前五阶固有频率的误差分析,发现仿真分析结果与实验结果误差最高为1.3%。研究完整地叙述了悬臂梁的模态测试流程,可为工程技术人员的模态测试起一定的指导作用。     

基于同心压电传感器的单模态Lamb波信号提取方法

Lamb波具有传播范围远、对小损伤敏感等优点,适用于飞机机翼、壁板等大面积结构的损伤检测,然而Lamb波的频散和多模态特性使得单模态难以识别和解析信号。本文提出一种适用于板壳结构损伤检测的单模态提取方法,设计并使用一种同心压电传感器,根据所激励各模态的幅值比来分解信号并补偿时间差,从而提取出单一模态的信号。通过仿真分析和铝板实验验证,结果显示本方法能够有效提取单一A_0模态信号,并在实验中成功识别了隐藏的裂纹损伤反射回波信号,使信号相对于传统方法变得更易解释和分析。     

A MODAL TESTING METHOD FOR CANTILEVER BEAM1)

基于欧拉-伯努利梁理论得到悬臂梁自由振动的振型函数。通过数值计算得出实验用的悬臂梁前五阶振型的节点位置及其与梁长的比值。考虑传感器对悬臂梁固有频率的影响,建立梁-传感器模型进行仿真分析并得出悬臂梁前五阶固有频率。基于节点位置和测点位置,在实验中选择激励点。将具体实验的结果与梁-传感器仿真模型结果进行对比,通过前五阶固有频率的误差分析,发现仿真分析结果与实验结果误差最高为 1.3%。研究完整地叙述了悬臂梁的模态测试流程,可为工程技术人员的模态测试起一定的指导作用。     

WAVE PROPAGATION IN PIEZOELECTRIC/PIEZOMAGNETIC LAYERED PERIODIC COMPOSITES

This paper is concerned with the dynamic behaviors of wave propagation in layered periodic composites consisting of piezoelectric and piezomagnetic phases. The dispersion relations of Lamb waves axe derived. Dispersion curves and displacement fields are calculated with different piezoelectric volume fractions. Numerical results for BaTiO3/CoFe2O4 composites show that the dispersion curves resemble the symmetric Lamb waves in a plate. Exchange between the longitudinal （i.e. thickness） mode and coupled mode takes place at the crossover point between dispersion curves of the first two branches. With the increase of BaTiO3 volume fraction, the crossover point appears at a lower wave number and wave velocity is higher. These findings are useful for magnetoelectric transducer applications.     

PWAS激励Lamb波的谱有限元建模及参数研究

基于谱有限元法发展了一种由压电晶片主动传感器(PWAS)、胶层和主结构组成的三层模型,来模拟PWAS激励结构中Lamb波的传播。首先在各层使用不同的梁理论,推导PWAS-胶层-主结构三层模型的控制方程和力的边界条件,建立谱有限元模型。通过和传统的有限单元法进行比较,表明了在显著提高计算效率的同时,所发展谱有限元模型在分析结构中Lamb波传播上仍具有较高的精度。分析了激励频率、PWAS长度与厚度、胶层厚度等参数变化对输出电压信号的影响,可以为基于PWAS和Lamb波的主动健康监测技术提供参考。     

Lamb wave mode decomposition using concentric ring and circular piezoelectric transducers

Lamb waves using surface-bonded piezoelectric transducers (PZTs) have been widely used for nondestructive testing (NDT). However, the identification of individual Lamb wave modes and the subsequent data interpretation are often difficult due to the dispersive and multimodal natures of Lamb waves. To tackle the problem, a Lamb wave mode decomposition technique using concentric ring and circular PZTs is proposed. Its advantages over the conventional approaches are that (1) PZTs need to be placed only a single surface of a specimen and (2) mode decomposition can be performed at any desired frequency without changing the PZT size and/or spacing configuration. The proposed mode decomposition technique is formulated by solving 3D Lamb wave propagation equations considering the PZT size and shape, and this technique requires a specially designed dual PZT composed of concentric ring and circular PZTs. The effectiveness of the proposed technique for the Lamb wave mode decomposition is investigated through numerical simulation and experimental tests performed on an aluminum plate.     

偏压电场对压电板中Lamb波相速度的影响

本文研究了偏压电场作用下,Lamb波在压电板中的传播行为，首先给出了偏压电场作用时压电板中的应力场及电位移场，然后通过求解含初应力及初电位移的小幅波动问题的耦合方程，分别给出了Lamb波的对称模态和反对称模态的相速度方程，以典型的PZT－5H压电陶瓷板为例进行了数值计算,并讨论了偏压电场对Lamb波相速度及频散曲线的影响，结果表明，偏压电场可以显著地改变Lamb波的传播速度，借此可使声波器件获得延时效果。     

Boundary element modeling for defect characterization potential in a wave guide

Wave scattering analysis implemented by boundary element methods (BEM) and the normal mode expansion technique is used to study the sizing potential of two-dimensional shaped defects in a wave guide. Surface breaking half-elliptical shaped defects of three opening lengths (0.3, 6.35 and 12.7 mm) and through-wall depths of 10–90% on a 10 mm thick steel plate were considered. The reflection and transmission coefficients of both Lamb and shear horizontal (SH) waves over a frequency range 0.05–2 MHz were studied. A powerfully practical result was obtained whereby the numerical results for the S₀ mode Lamb wave and n₀ mode SH wave at low frequencies showed a monotonic increase in signal amplitude with an increase in the defect through-wall depth. At high frequency (usually above the cut-off frequency of the A₁ mode for Lamb waves and the n₁ mode for SH waves, respectively), the monotonic trend does not hold in general due to the energy redistribution to the higher order wave modes. Guided waves impinging onto an internal stringer-like an inclusion were also studied. Both the Lamb and SH waves were shown to be insensitive to the stringer internal inclusions at low frequency. Experiments with piezoelectric Lamb wave transducers and non-contact SH wave electro-magnetic acoustic transducers (EMAT) verified some of the theoretical results.     

Effect of a biasing electric field on the propagation of symmetric Lamb waves in piezoelectric plates

This paper is concerned with the effect of a biasing electric field on the propagation of Lamb waves in a piezoelectric plate. On the basis of three dimensional linear elastic equations and piezoelectric constitutive relations, the differential equations of motion under a biasing electric field are obtained and solved. Due to the symmetry of the plate, there are symmetric and antisymmetric modes with respect to the median plane of the piezoelectric plate. According to the characteristics of symmetric modes (odd potential state) and antisymmetric modes (even potential state), the phase velocity equations of symmetric and antisymmetric modes of Lamb wave propagation are obtained for both electrically open and shorted cases. The effect of a biasing electric field on the phase velocity, electromechanical coupling coefficient, stress field and mechanical displacement of symmetric and antisymmetric Lamb wave modes are discussed in this paper and an accompanying paper respectively. It is shown that the biasing electric field has significant effect on the phase velocity and electromechanical coupling coefficient, the time delay owning to the velocity change is useful for high voltage measurement and temperature compensation, the increase in the electromechanical coupling coefficient can be used to improve the efficiency of transduction.     

A sandwich-transducer technique for measurement of internal dynamic stress

A technique for the measurement of internal dynamic stresses in rods is described and experimental results are presented. The technique utilized a piezoelectricquartz-crystal disk with a concentric guard ring scribed on each side through conductive plating. The transducer was sandwiched with epoxy adhesive in a Hopkinson-pressure-bar arrangement to compare its output from the center electrode area with surface-mounted strain gages. Preliminary tests showed good peak-stress agreement between the two and pulse shapes were also found to be identical. The effect of bonding on the piezoelectric constant was also investigated. This constant was found to be about 8 percent greater than the accepted value for alpha quartz. This difference was attributed to radial effects.     

DESIGN AND APPLICATIONS OF PIEZOELECTRIC CRYSTALS TRANSDUCER IN DYNAMIC EXPERIMENTS

各种压电器件广泛用于电子工业、信息传输、医学诊断等许多领域,以实现能量转换、传感、驱动、频率控制等功能. 特别地,压电晶体以其高频响的压电效应,在动载实验中用于动态应力的测试. 利用其特有的各向异性特性,通过设计特殊的切型方向,可以实现对不同应力的测试. 本文通过分析各向异性晶体的特性,从压电效应的基本原理出发,导出了利用各向异性晶体作为剪应力量计的设计思想,并给出了两种典型的动态剪应力计:17.705°Y 切石英和165.44°Y 切铌酸锂晶体.     

动载实验中压电晶体应力量计的设计与应用

各种压电器件广泛用于电子工业、信息传输、医学诊断等许多领域,以实现能量转换、传感、驱动、频率控制等功能. 特别地,压电晶体以其高频响的压电效应,在动载实验中用于动态应力的测试. 利用其特有的各向异性特性,通过设计特殊的切型方向,可以实现对不同应力的测试. 本文通过分析各向异性晶体的特性,从压电效应的基本原理出发,导出了利用各向异性晶体作为剪应力量计的设计思想,并给出了两种典型的动态剪应力计:17.705°Y 切石英和165.44°Y 切铌酸锂晶体.      

Lamb波理论及层合板冲击损伤的实验研究

从理论上分析了板中Lamb波信号的传播特性,并给出Lamb波在板中传播的频散方程。理论分析及实验均表明,Lamb波的频散特性与复合材料结构损伤有着直接的联系,而且最低阶的对称和反对称Lamb波模态对层合板的损伤比较敏感,但应用Lamb波的频散效应监测结构的损伤在检测技术上还难以实现。根据板中导波形成Lamb波的共振原理,板中应力波的幅频特性很大程度上反映了Lamb波的谐振特征。因此,利用压电元件的压电阻抗谱分析应力波的各阶模态频率及振幅对结构损伤的变化,能够反映材料内部损伤与Lamb波的频散特性。文中针对表面粘贴压电元件的层合板智能结构,建立了包含Lamb波谐振模式的压电阻抗计算模型。冲击损伤试件的实验表明,由于结构损伤的出现压电阻抗谱中的模态频率及其阻抗幅值等特征信息将发生变化。因此,引入应力波损伤因子可以对结构冲击损伤的存在和程度进行初步评价。该方法基于结构的机-电动态阻抗特性,不受结构的几何形状限制,测试用的压电元件成本低,方法简单可行,有望在智能结构的健康诊断方面获得应用。