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2019 14th Symposium on Piezoelectrcity, Acoustic Waves and Device Applications (SPAWDA)最新文献

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A Vibration Analysis of a Cylinder with Slits 带缝圆柱的振动分析
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019276
Sheng-quan Zhao, Zengxin Wu, Dejin Huang, Lijun Yi, Jianke Du, Ji Wang
The free vibrations of an elastic cylinder with open slits are analyzed with the Rayleigh-Ritz method. The analytical procedure is based on the formulation in cylindrical coordinates with the three-dimensional linear elasticity. For the formulation and calculation of kinetic and strain energies, the cylinder is divided into upper and lower parts with the depth of the slit. Using the Rayleigh-Ritz method, the eigenvalue equation is obtained for the two parts with different displacements in Chebyshev polynomials. Utilizing the displacement continuity conditions at the interface between, the eigenvalue equations for the cylinder is obtained. A convergence check and comparison with the FEM results demonstrate the validity and accuracy of the present method.
用瑞利-里兹法分析了开缝弹性圆柱的自由振动。解析过程基于柱坐标下的三维线弹性方程。在动能和应变能的公式和计算中,根据狭缝的深度将圆柱体分为上下两部分。利用瑞利-里兹方法,得到了切比雪夫多项式中具有不同位移的两部分的特征值方程。利用两者交界面处的位移连续性条件,得到圆柱体的特征值方程。通过收敛性检验和与有限元计算结果的比较,验证了该方法的有效性和准确性。
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引用次数: 0
The Application of the Method of Fundamental Solutions to Solve Ultrasonic Guided Wave Scattering 基本解法在求解超声导波散射中的应用
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019266
Hao Jiang, Bin Wang, Z. Qian
In this paper, we propose a coupling technique of modified boundary element method (MBEM) and method of fundamental solutions (MFS) for solving the forward scattering problem of Love waves. First, the boundaries and interfaces of the intact structure is discretized for BEM formulation. To suppress spurious reflections brought about by model truncation, the far-field behaviors of guided waves are incorporated into the basic BEM equations as the modification items. Secondly, the scattered wave field, due to surface or internal cavities, is modeled as radiated from a series of "virtual point sources", which are placed within the actual flaw regions. The strengths of these sources are determined by free-traction conditions of total wave field on the cavity surface, which forms an MFS configuration. The MBEM and MFS parts are combined to form a total matrix, and the near-field displacements, far-field scattering coefficients for propagating modes, as well as the source strengths are solved simultaneously.
本文提出了一种修正边界元法(MBEM)和基本解法(MFS)的耦合技术,用于求解Love波的前向散射问题。首先,将完整结构的边界和界面离散化,进行边界元计算。为了抑制模型截断带来的杂散反射,将导波的远场特性作为修正项纳入基本边界元方程。其次,由于表面或内部空腔,散射波场被模拟为从一系列“虚拟点源”辐射,这些“虚拟点源”被放置在实际缺陷区域内。这些源的强度由腔体表面总波场的自由牵引条件决定,形成MFS结构。将MBEM和MFS组成一个总矩阵,同时求解近场位移、传播模式远场散射系数和源强度。
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引用次数: 0
The Influence of Functionally Graded Layer on the Band Structures of One-Dimensional Phononic Crystals 功能梯度层对一维声子晶体能带结构的影响
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019288
Guang-ying Yang, Minghua Zhang, J. Lou, Meng-kai Lu, Ji Wang, Jianke Du
In this paper, the propagation of surface acoustic waves in a periodic structure which consists of periodic domain inversion piezoelectric substrate covered by a functionally graded layer is studied. We calculated the band structures using the finite element method. The effects of the gradient variation of material constants on the band structures are discussed in detail. Numerical analysis shows that the band gap shifts to lower frequency and the bandwidth decreases with increase of the positive gradient factor β, whereas the band gap shifts to higher frequency and the bandwidth increase with increase of the negative gradient factor β. Besides, the thickness of the layer also has a significant effect on the first band gap.
本文研究了由功能梯度层覆盖的周期性畴反转压电衬底构成的周期结构中表面声波的传播。采用有限元法对带结构进行了计算。详细讨论了材料常数梯度变化对能带结构的影响。数值分析表明,随着正梯度因子β的增大,带隙向低频偏移,带宽减小;而随着负梯度因子β的增大,带隙向高频偏移,带宽增大。此外,层的厚度对第一带隙也有显著的影响。
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引用次数: 0
Ultrosonic Beam Steering Behavior of Linear Phased Arrays in Solid 固体中线性相控阵的超声波束转向特性
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019270
Yu-xiang Dai, Shou-guo Yan, Bi-xing Zhang
This paper studies the beam steering behavior of linear phased arrays in solid and analyzes the influence of the SV waves on the beam steering performance of P waves. The analytical formulas of the beam steering field of P waves in the far field in solid are derived. The influence of array design parameters on the beam steering performance of P waves is discussed in detail by numerical simulation. The results show that the grating lobes of SV waves can be eliminated by selecting the inter-element spacing less than a critical value, and the main lobes of that can be eliminated when P waves are steered at a high steering angle larger than a critical value. The analytical expression of the critical inter-element spacing and steering angle are also obtained. In addition, a larger element size can provide a higher energy of P waves relative to SV waves.
研究了固体中线性相控阵的波束转向特性,分析了SV波对P波波束转向特性的影响。导出了纵波在固体远场中光束导向场的解析公式。通过数值模拟,详细讨论了阵列设计参数对纵波波束导向性能的影响。结果表明,选取小于临界值的单元间距可以消除SV波的光栅瓣,当P波转向角大于临界值时,可以消除SV波的主瓣。得到了临界元件间距和临界转向角的解析表达式。此外,相对于SV波,较大的单元尺寸可以提供更高的P波能量。
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引用次数: 3
Evanescent Lamb Wave in Laminated Composites Elastic Plates 层合复合材料弹性板中的倏逝Lamb波
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019303
Yu-mei Ye, Jiangong Yu
Evanescent waves are widely used in non-destructive evaluation to determine the shape and size of defects,as a result, it have become the focus of research. It is crucial to study the modal and dispersion relations of evanescent waves described by complex roots. However, it is relatively difficult to solve the roots of evanescent modes, especially for structures such as anisotropy and composites. In this paper, using the Legendre orthogonal polynomial method (LOPM), the guided wave characteristics of multilayer anisotropic elastic plates are studied by transforming the solution process into solving the eigenvalue problem of a matrix. Detailed formulas and Lamb wave dispersion diagrams are presented. The validity of LOPM is verified by comparing with the published data. Furthermore, the dispersion curves of the three-dimensional complex solutions are further drawn, and the relationship between the modes of complex and pure imaginary solutions is deeply discussed. Meanwhile, the influence of different thickness ratios on the dispersion characteristics of evanescent guided waves is also studied. Some instructive conclusions are obtained, which can guide the non-destructive testing of composite structures using evanescent waves.
倏逝波在无损检测中被广泛应用于确定缺陷的形状和尺寸,已成为研究的热点。复根描述的倏逝波的模态和频散关系的研究至关重要。然而,对于各向异性和复合材料等结构而言,求解倏逝模态的根是相对困难的。本文利用勒让德正交多项式方法(LOPM),将多层各向异性弹性板的导波特性转化为求解矩阵的特征值问题。给出了详细的计算公式和兰姆波色散图。通过与已发表数据的对比,验证了LOPM的有效性。进一步绘制了三维复解的色散曲线,并深入讨论了复解与纯虚解的模态关系。同时,研究了不同厚度比对倏逝导波色散特性的影响。得到了一些有指导意义的结论,可以指导复合材料结构的消隐波无损检测。
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引用次数: 0
Interaction of high nonlinear solitary waves with Viscoelastic infinite plate 高非线性孤立波与粘弹性无限板的相互作用
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019308
Jie Zhao, Y. Wang, Shan-shan Dong, Miao Ruan, Hao Wu
Theoretical and numerical calculationsare performed to study the interaction of high nonlinear solitary waves(HNSWs) in one-dimensional particle chains and viscoelastic infinite plate. We use theRunge-kutta method to solve thecompletely coupled differential equation systemand obtain the numerical solutions of velocity and displacement of each particle in the particle chains. By comparing the time difference and energy ratio of reflected wave and incident wave, it is found that solitary waves is sensitive to the thickness and viscosity coefficient of viscoelastic infinite plate in a certain range.The results provide theoretical basis for non-destructive testing(NDT) technology based on nonlinear solitary waves.
本文通过理论和数值计算研究了一维颗粒链和粘弹性无限板中高非线性孤立波的相互作用。采用龙格-库塔法求解完全耦合微分方程组,得到了粒子链中各粒子的速度和位移的数值解。通过比较反射波与入射波的时差和能量比,发现在一定范围内孤立波对粘弹性无限板的厚度和粘滞系数很敏感。研究结果为基于非线性孤立波的无损检测技术提供了理论依据。
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引用次数: 0
Micromechanics of Nano-Defects in One-Dimensional Hexagonal Piezoelectric Quasicrystals 一维六方压电准晶体纳米缺陷的微观力学研究
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019299
Junhua Xiao, Mengyu Su, G. Feng
The Gurtin-Murdoch surface model is extended to theoretically study the fracture characteristics of the one-dimensional hexagonal piezoelectric quasicrystals with nano-defects. The complex electrostatic theory and the conformal mapping method are used to study the type III fracture problem of the one-dimensional hexagonal piezoelectric quasicrystals containing cracked nano-elliptical hole. An analytical expression of the electrostatic field intensity factors is obtained. The influences of defect size, relative crack length and coupling coefficient on the dimensionless stress intensity factor and the electric displacement field intensity factor are discussed. The results show that the dimensionless stress intensity factor and the electric displacement field intensity factor are obviously size dependent when the defect is at the nanometer scale. Geometric parameters of the defects and material parameters have a significant impact on the dimensionless electrostatic field intensity factors.
将Gurtin-Murdoch曲面模型推广到具有纳米缺陷的一维六边形压电准晶体的断裂特性的理论研究中。采用复静电理论和保角映射方法研究了含裂纹纳米椭圆孔的一维六边形压电准晶体的III型断裂问题。得到了静电场强因子的解析表达式。讨论了缺陷尺寸、相对裂纹长度和耦合系数对无因次应力强度因子和电位移场强度因子的影响。结果表明:在纳米尺度下,缺陷的无因次应力强度因子和电位移场强度因子具有明显的尺寸依赖性;缺陷几何参数和材料参数对无因次静电场强因子有显著影响。
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引用次数: 3
Fem Modeling Rayleigh Wave Sensors Based on GO/SiO2/128° YX-LiNbO3 Structures 基于GO/SiO2/128°YX-LiNbO3结构的瑞利波传感器有限元建模
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019330
Yan Wang, Xiao-qing Liu, Shu-lin Shang, Xun Xu
3D-finite element method (3D-FEM) is used to investigate the characteristics of Rayleigh wave devices based on GO(Graphene Oxide)/SiO2/IDT(inter-digital transducer)/128° YX-LiNbO3 structures, including the phase velocity vp, electromechanical coupling coefficient k2, and gas sensing properties. The results show that the GO layersimprove the characteristics of the Rayleigh wave devices, that is, vp andk2 are increased by the introduction of GO films. And thek2of 9.32% associated with phase velocity of 4517m/s have obtained as hs/λ=0.01 and hGO=0.5μm, which are higher than that of GO free Rayleigh wave device. Meanwhile, the gas sensing sensitivity of theRayleigh wave sensor is also enhanced by GO layers. Therefore, GO is an ideal material for constructing SAW sensors for widespread applications.
采用三维有限元法(3D-FEM)研究了基于GO(氧化石墨烯)/SiO2/IDT(数字间传感器)/128°YX-LiNbO3结构的瑞利波器件的特性,包括相速度vp、机电耦合系数k2和气敏性能。结果表明,氧化石墨烯层改善了瑞利波器件的特性,即引入氧化石墨烯膜后,vp和k2均有所提高。当hs/λ=0.01, hGO=0.5μm时,相速度为4517m/s, k2为9.32%,高于无GO瑞利波器件。同时,氧化石墨烯层也提高了rayleigh波传感器的气敏灵敏度。因此,氧化石墨烯是构建SAW传感器的理想材料,具有广泛的应用前景。
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引用次数: 1
A Hybrid Simulation Method for Actuation of Piezoelectric Transformer Combining Circuit and Finite Element Analysis 压电变压器驱动电路与有限元分析相结合的混合仿真方法
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019326
Liang Fang, Zhihua Guo, Qing Wang, Bin Ju
For simulation analysis of piezoelectric device with a driver circuit, this paper proposes a hybrid simulation scheme with a combination of multi-physics field finite element simulation and circuit analysis software. Taking the drive analysis of piezoelectric transformer as an example, the paper firstly uses the circuit analysis software Multisim to carry out the actuation simulation with the equivalent circuit model. Then, the modal analysis of the piezoelectric transformer is carried out in Comsol, and the driving circuit is imported by the SPICE netlist for hybrid simulation. Finally, the paper introduces the temperature model of the piezoelectric parameter d33 and analyzes the effect of temperature changes on the driving performance of the piezoelectric transformer. Comparing the simulation data, the results of the hybrid simulation are more accurate and more in line with the actual working process of the piezoelectric transformer.
针对带驱动电路的压电器件的仿真分析,本文提出了一种多物理场有限元仿真与电路分析软件相结合的混合仿真方案。本文以压电变压器的驱动分析为例,首先利用电路分析软件Multisim进行等效电路模型的驱动仿真。然后,在Comsol中对压电变压器进行模态分析,并通过SPICE netlist导入驱动电路进行混合仿真。最后,介绍了压电参数d33的温度模型,分析了温度变化对压电变压器驱动性能的影响。对比仿真数据,混合仿真结果更加准确,更符合压电变压器的实际工作过程。
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引用次数: 0
Gyro Effect on Surface Acoustic Wave Propagation in A Piezoelectric Layered Structure 压电层状结构中表面声波传播的陀螺效应
Pub Date : 2019-11-01 DOI: 10.1109/SPAWDA48812.2019.9019247
Simiao Hu, Yi-feng Hu, X. Cao, S. Tian
In this paper, we investigate the propagation of generalized Rayleigh waves in a piezoelectric layered structure. Considering the gyroscopic effect, and based on the theory of elastic dynamics, the field control equations with rotation are established. Substituting the trial solutions of the mechanical displacement and the electrical potential into the boundary and continuity conditions, we obtain the dispersion equation when the free surface is electrically open and electrically shorted, respectively. Numerical examples show that frequency varies approximately linear with the angular rate, and the change of frequency is more sensitive for long waves. The results provide a theoretical basis for designing SAW gyroscopes.
本文研究了广义瑞利波在压电层状结构中的传播。考虑陀螺效应,基于弹性动力学理论,建立了带旋转的磁场控制方程。将机械位移和电势的试解代入边界条件和连续条件,分别得到了自由表面电开和电短时的色散方程。数值算例表明,频率随角速度近似成线性变化,且对长波频率变化更为敏感。研究结果为声表面波陀螺仪的设计提供了理论依据。
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引用次数: 2
期刊
2019 14th Symposium on Piezoelectrcity, Acoustic Waves and Device Applications (SPAWDA)
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