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Frequency–Temperature Analysis of Thickness-Shear Vibrations of SC-Cut Quartz Crystal Plates with the First-Order Mindlin Plate Equations

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Acta Mechanica Solida Sinica 2021年第4期34卷 516-526页

作者： Rongxing Wu Wenjun Wang Guijia Chen Jianke Du tingfeng ma Ji Wang Department of Architectural Engineering Ningbo Polytechnic1069 Xinda RoadBeilun DistrictNingbo315800China Piezoelectric Device Laboratory School of Mechanical Engineering and MechanicsNingbo University818 Fenghua RoadNingbo315211China State Key Laboratory for Strength and Vibration of Mechanical Structures School of AerospaceXi’an Jiaotong University28 Xianning Xilu RoadXi’an710049China TXC-NBU Joint Center of Research School of Mechanical Engineering and MechanicsNingbo University818 Fenghua RoadNingbo315211China

With the incremental thermal field theory by Lee and Yong,the Mindlin plate equations for the analysis of thickness-shear vibrations of SC-cut quartz crystal with the consideration of thermal effect have been *** assuming straight-crested waves in a rectangular plate,the dispersion relations,frequency spectra,mode shapes,and frequency–temperature relations of the thickness-shear mode of SC-cut quartz crystal plates are calculated with plate *** computational results from SC-cut quartz crystal plates are compared with those from AT-cut,which shows that SC-cut resonators have better frequency–temperature relation as a *** practical applications,such results will be useful in the precision design and improvement of SC-cut quartz crystal resonator structures.

关键词： Quartz Anisotropic Plate Resonator Vibration Temperature

Extended Kantorovich method for local stresses in composite laminates upon polynomial stress functions

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Acta Mechanica Sinica 2016年第5期32卷 854-865页

作者： Bin Huang Ji Wang Jianke Du Yan Guo tingfeng ma Lijun Yi Piezoelectric Device Laboratory School of Mechanical Engineering & Mechanics Ningbo University College of Science & Technology Ningbo University

The extended Kantorovich method is employed to study the local stress concentrations at the vicinity of free edges in symmetrically layered composite laminates subjected to uniaxial tensile load upon polynomial stress functions. The stress fields are initially assumed by means of the Lekhnitskii stress functions under the plane strain state. Applying the principle of complementary virtual work,the coupled ordinary differential equations are obtained in which the solutions can be obtained by solving a generalized eigenvalue problem. Then an iterative procedure is established to achieve convergent stress distributions. It should be noted that the stress function based extended Kantorovich method can satisfy both the traction-free and free edge stress boundary conditions during the iterative processes. The stress components near the free edges and in the interior regions are calculated and compared with those obtained results by finite element method（FEM）. The convergent stresses have good agreements with those results obtained by three dimensional（3D） FEM. For generality, various layup configurations are considered for the numerical analysis. The results show that the proposed polynomial stress function based extended Kantorovich method is accurate and efficient in predicting the local stresses in composite laminates and computationally much more efficient than the 3D FEM.

关键词： Kantorovich method Polynomial stress function Composite laminates Local stresses 3D FEM

Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales

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Applied mathematics and Mechanics(English Edition) 2022年第5期43卷 653-666页

作者： Yang ZHENG Bin HUANG Lijun YI tingfeng ma Longtao XIE Ji WANG Key Laboratory of Impact and Safety Engineering Ministry of EducationNingbo UniversityNingbo 315211Zhejiang ProvinceChina Piezoelectric Device Laboratory Faculty of Mechanical Engineering&MechanicsNingbo UniversityNingbo 315211Zhejiang ProvinceChina

This paper presents a nonlinear thickness-shear vibration model for onedimensional infinite piezoelectric plate with flexoelectricity and geometric *** constitutive equations with flexoelectricity and governing equations are derived from the Gibbs energy density function and variational *** displacement adopted here is assumed to be antisymmetric through the thickness due to the thickness-shear vibration *** the shear strain gradient through the thickness is considered in the present *** geometric nonlinearity,the governing equations are converted into differential equations as the function of time by the Galerkin *** method of multiple scales is employed to obtain the solution to the nonlinear governing equation with first order *** results show that the nonlinear thickness-shear vibration of piezoelectric plate is size dependent,and the flexoelectric effect has significant influence on the nonlinear thickness-shear vibration frequencies of micro-size thin *** geometric nonlinearity also affects the thickness-shear vibration frequencies *** results show that flexoelectricity and geometric nonlinearity cannot be ignored in design of accurate high-frequency piezoelectric devices.

关键词： thickness-shear vibration piezoelectric plate size effect flexoelectric effect

The Multi-field Coupled Vibration Analysis of AT-Cut Quartz Crystal Resonators with Parallelism Error

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Acta Mechanica Solida Sinica 2023年第2期36卷 349-360页

作者： Mengjie Li Nian Li Peng Li Dianzi Liu Iren EKuznetsova Zhenghua Qian tingfeng ma State Key Laboratory of Mechanics and Control of Mechanical Structures College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China Shenzhen Research Institute Nanjing University of Aeronautics and AstronauticsShenzhen 518063China School of Engineering University of East AngliaNorwich NR47TJUK Kotel’nikov Institute of Radio Engineering and Electronics of RAS MoscowRussia Key Laboratory of Impact and Safety Engineering Ministry of EducationNingbo UniversityNingbo 315211China

During the fabrication of quartz crystal resonators(QCRs),parallelism error is inevitably generated,which is rarely *** order to reveal the influence of parallelism error on the working performance of QCRs,the coupled vibration of a non-parallel AT-cut quartz crystal plate with electrodes is systematically studied from the views of theoretical analysis and numerical *** two-dimensional thermal incremental field equations are solved for the free vibration analysis via the coefficient-formed partial differential equation module of the COMSOL Multiphysics software,from which the frequency spectra,frequency–temperature curves,and mode shapes are discussed in ***,the piezoelectric module is utilized to obtain the admittance response under different *** is demonstrated that the parallelism error reduces the resonant ***,symmetry broken by the non-parallelism increases the probability of activity dip and is harmful to QCR’s thermal ***,if the top and bottom surfaces incline synchronously in the same direction,the influence of parallelism error is *** conclusions achieved are helpful for the QCR design,and the methodology presented can also be applied to other wave devices.

关键词： Quartz crystal resonators Parallelism error Resonant frequency Mode coupling Admittance

Two-Dimensional Coupling Vibration Analysis of Laterally Acoustically Coupled Two-Port Thin-Film Bulk Acoustic Resonators

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Acta Mechanica Solida Sinica 2020年第4期33卷 464-478页

作者： Haoyu Huang Nian Li Bin Wang Zhenghua Qian Bin Huang tingfeng ma Iren Kuznetsova State Key Laboratory of Mechanics and Control of Mechanical Structures College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjing 210016China Faculty of Mechanical Engineering and Mechanics Ningbo UniversityNingbo 315000China Kotelnikov Institute of Radio Engineering and Electronics of RAS MoscowRussia 125009

In this paper,we present an approach to studying the mode coupling vibrations in two-port thin-film bulk acoustic wave resonator(FBAR)devices with two pairs of electrodes deposited on the zinc oxide *** two-dimensional plate theory established in our previous work is employed,which takes into account the coupling of the operating thickness-extensional mode with the extensional,flexural,fundamental and second-order thickness-shear *** propagation of straight-crested waves in the plate is studied,and the state-vector approach is successfully used to simplify the derivation *** a structurally symmetric device,the modes are separated into quasi symmetric and antisymmetric *** spectra and corresponding mode shapes are obtained under the stress-free boundary conditions,respectively,and then coupling effects and energy trapping phenomenon are discussed in *** results for structures with asymmetric electrode distributions are also *** is found that the choice of aspect ratio has a great effect on mode couplings of FBAR *** study will be useful for the design of FBAR filters and sensors.

关键词： FBAR RF filter Two-dimensional theory Mode coupling Trapped energy

A nonlinear analysis of surface acoustic waves in isotropic elastic solids

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Theoretical & Applied Mechanics Letters 2022年第2期12卷 98-103页

作者： Haoxiang Wu Rongxing Wu tingfeng ma Zixiao Lu Honglang Li Ji Wang Piezoelectric Device Laboratory School of Mechanical Engineering&MechanicsNingbo UniversityNingbo 315211China National Center for Nanoscience and Technology Beijing 100190China

With the fast evolution of wireless and networking communication technology,applications of surface acoustic wave(SAW),or Rayleigh wave,resonators are proliferating with fast shrinking sizes and increasing *** is inevitable that the smaller resonators will be under a strong electric field with induced large deformation,which has to be described in wave propagation equations with the consideration of *** this study,the formal nonlinear equations of motion are constructed by introducing the nonlinear constitutive relation and strain components in a standard procedure,and the equations are simplified by the extended Galerkin method through the elimination of *** wave velocity of the nonlinear SAW is obtained from approximated nonlinear equations and boundary conditions through a rigorous solution *** is shown that if the amplitude is small enough,the nonlinear results are consistent with the linear results,demonstrating an alternative procedure for nonlinear analysis of SAW devices working in nonlinear state.

关键词： Surface Wave Nonlinear Galerkin Resonator

SH-SAW IN LAYERED PIEZOELECTRIC/PIEZOmaGNETIC STRUCTURES LOADED WITH VISCOELASTIC LAYER

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SH-SAW IN LAYERED PIEZOELECTRIC/PIEZOMAGNETIC STRUCTURES LOA...

THE DEVELOPMENT OF A GENERAL ANISOTROPIC maTERIAL MODEL WITH RESONANT ULTRASOUND SPECTROSCOPY TECHNOLOGY FOR THE MEASUREMENT OF ELASTIC CONSTANTS OF PIEZOELECTRIC CRYSTALS

2013全国压电和声波理论及器件技术研讨会

作者： Lili YUAN Jianke DU tingfeng ma Ji WANG School of Mechanical Engineering and Mechanics Ningbo University School of Civil Engineering and Environment Ningbo University

SH surface acoustic wave（SH-SAW）propagation in perfectly bonded piezoelectric/piezomagnetic structures loaded with viscoelastic layer has been *** on the three-dimensional piezoelectricity theory,the coupling wave equations have been obtained and solved by analytical method with consideration of both magnetoelectrically open and short *** effects of viscoelasticity on the phase velocity and attenuation of the waves are analyzed and discussed in *** the results we can find that the effects of viscoelasticity on the properties of SH-SAW are remarkable,the phase velocity decreases with the viscous coefficient,the attenuation increases with the *** analytical method and the Tesults can be useful for the design of the biosensors and chemical sensors made of magnetoelectric materials for liquid application.

关键词： SH-SAW waves piezoelectric viscoelastic layer piezomagnetic

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THE DEVELOPMENT OF A GENERAL ANISOTROPIC MATERIAL MODEL WITH...

A0模态Lamb波聚焦透镜的结构设计及实验研究

2013全国压电和声波理论及器件技术研讨会

作者： Zhen WANG Ji WANG Yanqing ZHENG Fapeng YU Sergei ZHGOON tingfeng ma Piezoelectric Device Laboratory School of Mechanical Engineering & MechanicsNingbo University Shanghai Institute of Ceramics Chinese Academy of Sciences State Key Laboratory of Crystal materials and Institute of Crystal materials Shandong University National research University Moscow Power Engineering Institute

The mechanical resonant response of a solid depends on its shape,density,and elastic *** describe here the computational methods based on a general anisotropic material model for obtaining and analyzing the resonant frequencies of small samples,and provide examples to demonstrate the utilization and *** new material types with six and thirteen independent elastic constants are formulated and tested with the *** study will lead to expansion of software capability for the testing of novel materials with current instrumentation.

关键词： Elastic Constants RUSpec Technology Quartz Crystal Levenberg-marquardt Method

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声学学报 2023年第1期48卷 154-161页

作者：宋世超王彬李鹏钱征华马廷锋南京航空航天大学机械结构力学及控制国家重点实验室南京210016 南京航空航天大学深圳研究院深圳518057 宁波大学冲击与安全工程教育部重点实验室宁波315211

基于折射率的弯曲波透镜多在板结构上打孔或挖槽,这种设计破坏了原有的结构,降低了板的刚度和稳定性。鉴于此,通过在板表面镶嵌棱柱的方式设计了A0模态Lamb波的聚焦透镜。首先,详细讨论了棱柱的结构参数对Lamb波带隙的影响机理,获取了... 详细信息

基于折射率的弯曲波透镜多在板结构上打孔或挖槽,这种设计破坏了原有的结构,降低了板的刚度和稳定性。鉴于此,通过在板表面镶嵌棱柱的方式设计了A0模态Lamb波的聚焦透镜。首先,详细讨论了棱柱的结构参数对Lamb波带隙的影响机理,获取了波速与结构尺寸的定量关系,并实现了透镜的结构设计;其次,有限元仿真了该聚焦透镜的工作性能,包括聚焦位置、焦点处能量分布、聚焦尺寸、工作带宽等;最后,通过实验验证了该透镜设计的正确性。研究结果表明,设计的透镜能够使弯曲波聚焦在预先设定位置,且在不改变结构参数的情况下具有一定的工作频率带宽。该透镜设计方法具有聚焦性能优越、刚度强、易于加工等优点,为声聚焦透镜在无损检测、能量收集等领域的实际应用提供了参考。

关键词： Lamb波聚焦透镜能量分布结构设计聚焦性能能量收集弯曲波无损检测