无障板圆形活塞换能器的辐射阻抗*

辐射阻抗是换能器的最重要辐射声场特性参数之一,影响着换能器的谐振频率、频带宽度、效率以及辐射声功率等。经典声学理论用一阶贝塞尔函数和斯特鲁夫函数给出了圆形活塞换能器辐射阻抗的数学表达式,但仅适用于无限大障板条件。该文用ANSYS有限元软件计算了无障板圆形活塞换能器的辐射阻抗,给出了数值解结果,通过与无限大障板条件下的理论结果相比较,显示了二者之间的偏离情况,尤其是在低频时差异显著。为了借助MATLAB工具模拟无障板圆形活塞换能器的辐射阻抗,并给出较准确的数学表达,选择了一系列初等函数以及它们的复合函数进行曲线拟合,最终给出了辐射阻和辐射抗关于ka的函数表达式,在ka值从0.08到20范围内与有限元计算结果很好吻合。     

球冠型换能器声辐射指向性分析

为了研究球冠型换能器的声辐射特性,在分离变量法求解球面坐标系下波动方程的基础上,采用基于球谐基傅里叶变换及边界条件的求解模型,给出了球冠型换能器声辐射的远场声压计算表达式和远场指向性表达式;仿真计算了球冠换能器的远场指向性随球冠极角、球半径及振动频率变化的特性,球冠所在球障板的直径和介质中声波的波长比决定着球冠声辐射指向性,在低频或波长大于球障板直径时,球冠声辐射呈无指向性,随着频率的增高即波长的减小或者球障板直径的增大,球冠声辐射的指向性越明显,波束开角越趋向于球冠的开角,而且波束开角内出现波浪状起伏越明显;试制了高频球冠型换能器基阵,测试了换能器基阵300 kHz的指向性,测试结果与理论计算相符合,验证了理论计算表达式的正确性,可为设计球冠型换能器及基阵提供理论指导。      

有限非均匀空腔障板对换能器指向性的影响

声障板可以改善换能器的灵敏度和指向性,是换能器及基阵设计中必不可少的声学结构。本文建立了有限空腔障板和非均匀空腔障板的模型。利用射线声学的理论,研究了以上两种障板对换能器指向性的影响,结果表明障板的边缘和障板的厚度变化都会影响换能器的指向性。文章最后给出了部分实验结果,理论结果与实验结果基本相符。     

密排圆柱基阵基元振幅和相位特性

具有机械输入阻抗Z~1的基元,密布在无限长的圆柱基阵上。这些基元能被看作是圆柱阵的阻抗障板,在该边界值条件下求解波动方程,我们就得到入射平面波散射场的解。 文中给出了计算一个基元的水平方向性的理论公式,也就是基元沿着圆周方向的振幅和相位的分布。对波束形成中的相幅权,可按此情况下的基元相幅特性加以修正。 最后,文中还扼要地说明了基元的机械输入阻抗Z~1对基元方向性的影响。     

多普勒导航圆盘换能器的方向特性研究

传统上,在设计有一定厚度的圆盘换能器方向特性时,总是近似采用一维活塞均匀振型,但它实际上是二维非均匀振型.我们研SJH-100型多普勒导航测速声纳换能器时,采用了两维厚向位移迭加模型,建立了计算方向特性的较精确的公式.经测量和计算机计算,证明它更切合实际.这种方法或可供设计水声、超声及电声圆盘厚度振动换能器的同志参考. 同时,本文探讨了铜外壳,声负载及其它声学结构对换能器方向特性的影响,从而提供了修正某些参数的依据.     

具有噪音的排气口的辐射指向特性

概述 对于声振动的辐射器的指向性,一般是利用放在无限障板内的硬质活塞发生声辐射的原理来处理的,它的基本公式是其中p_m是在空间任意点M的声压:p/n是活塞面上声压p的法向导函数;r是M点与活塞面上任意点的距离;dA为活塞的面积元素。     

离心球对高斯波束的光散射及应用

基于广义米氏理论研究了在轴离心球对高斯波束光散射特性.入射高斯波束的波束因子用积分区域近似法计算,散射场的展开系数由矢量球面波函数的加法定理并求解边界条件得到.以离心球为模型研究了单核生物细胞对高斯波束的散射特性并给出了相关数值模拟,讨论了离心距、波束的束腰半径和核的大小对散射强度角分布和散射、消光系数的影响.     

短圆管换能器辐射阻抗

辐射阻抗是换能器最重要的辐射声场特性参数之一,影响着换能器的谐振频率、频带宽度、效率以及辐射声功率等。随着圆管换能器半径和高度的不断变化,想直接得到声场瑞利积分的解析解是十分困难的。该文通过建立经验公式模型来解决此问题。首先,通过有限元软件计算圆管换能器辐射阻抗的数值解。然后利用MATLAB工具进行曲线拟合。经过反复逼近拟合,建立圆管换能器辐射阻抗经验公式模型。与刚性扩展模型计算出的傅里叶级数解相比,经验公式模型在kr值从0.03~10范围内与有限元计算结果更为吻合,验证了经验公式计算辐射阻抗的准确性。同时,在圆管更低高径比情况下,经验公式模型仍可较准确地计算辐射阻抗。     

大角度波束扫描的宽带平面阵研究

本文中介绍了一个可以实现大角度波束扫描的宽带平面声基阵,设计了纵向振动与换能器前盖板弯曲振动相复合的宽带换能器作为基元,保证了基阵具有较好的宽带性能。针对基元的自然指向性难以满足平面阵进行大角度波束扫描的要求,本文中采用通道型橡胶反声障板技术来拓宽阵上换能器的单元指向性,从而实现平面声基阵的大角度、宽带波束扫描。在有限元和边界元进行优化设计的基础上,制作了实验样阵。测试数据表明:在工作频段内换能器响应起伏不超过3 dB,12 kHz时阵上基元指向性达到了140°,基阵-3 dB波束覆盖范围可以达到144.4°,最大旁瓣不超过30%。     

一种辐射声场近似计算方法——单元辐射叠加法

提出一种基于表面振速预报辐射声场的近似方法--单元辐射叠加法.研究表明,声传递向量中的每项元素等于对应单元以单位速度振动、其它单元振速都为零时的辐射声压,即刚性障板上活塞面以单位速度振动时的辐射声压.在此基础上,利用刚性障板上单位速度振动活塞面的辐射声压直接建立表面振速与辐射声压之间的传递关系,根据这个传递关系对表面振速进行加权、求和便得到总的辐射声压.计算时采用规则形状障板面去拟合实际障板面,以规则形状障板上振动活塞面的辐射声压去近似实际障板上振动活塞面的辐射声压.相对于边界元方法,该方法在计算速度与存储空间上具有很大的优势.计算表明该近似方法是合理的、可行的.     

K-space Prony’s method for generating the basis functions of multi-Gaussian beam models

The expansion coefficients of a multi-Gaussian ultrasonic beam model are obtained by a new approach that applies Prony´s method in a K-space domain. This method allows the fitting of the Gaussian beam directly at the face of the transducer with very high computational efficiency. It is demonstrated that the K-space Prony’s method can be used to accurately model the transducer field of planar and focused piston transducers, as well as probes that do not act as pistons. The choice of parameters appearing in the method and their influence on performance are discussed.     

Impedance of pistons on a two-layer medium in a planar infinite rigid baffle

An integral transform technique is used to develop a general solution for the impedance of rigid pistons acting on a two-layer medium. The medium consists of a semi-infinite acoustic fluid on a viscoelastic thick plate in a rigid infinite baffle. The stresses acting on the planar baffle, as a result of piston motion, are determined using theory of linear elasticity and are therefore unrestricted in terms of applicable frequency range. The special case of a circular piston is considered and expressions for the self-and mutual impedances are developed and evaluated numerically. Numerical results are compared with classical piston impedance functions and finite-element model results. At low frequencies (k(0)a<1), the self-impedances vary significantly from the classical piston impedance functions due to the shear properties of the viscoelastic medium. In the midfrequency range (1相似文献   

Axial vibration characteristics of a cylindrical, radially polarized piezoelectric transducer with different electrode patterns

A circular cylindrical piezoelectric transducer with radial polarization is proposed. The axial vibration characteristics of the transducer are studied by three different methods: analytical calculation, FEM simulation and experiment. The symmetric and asymmetric excitation conditions are discussed in the Haskins and Walsh model. For the resonance frequencies of the transducer, the results from the above three methods coincide well with each other. For the vibration amplitude, there are some deviations between the FEM simulation and measurement results; some possible reasons for this are discussed. The influence of the electrode patterns on the excitation modes are also investigated in detail. Based on the study described in this paper, the research methodology for a cylindrical piezoelectric transducer is clarified.     

Estimation of the sound pressure field of a baffled uniform elliptically shaped transducer

In this paper an alternative approach to estimate the sound field of an elliptically shaped transducer in an infinite baffle is described. The method is based on a singular value decomposition of a propagating matrix which is computed through a division of the vibrating surface into a finite number of small circular piston sources flush-mounted on the elliptical surface. This decomposition is combined with the volume velocity vector on the discretized surface to obtain the sound pressure field. Numerical examples for both on-axis sound pressure and directivity are presented for the uniform elliptical piston transducer and they are in good agreement with the results given by other methods.     

Nonlinear Analysis on FEM Amplifier with Circular Groove Guide

FEM amplifier with a novel circular groove guide is proposed and researched both in three-dimensional nonlinear theory and numerical computation in this paper. Efficiency and bandwidth of the FEM are studied including electron beam emittance.     

Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element

Fluid-structure interaction (FSI) problems in microchannels play prominent roles in many engineering applications. The present study is an effort towards the simulation of flow in microchannel considering FSI. Top boundary of the microchannel is assumed to be rigid and the bottom boundary, which is modeled as a Bernoulli-Euler beam, is simulated by size-dependent beam elements for finite element method (FEM) based on a modified couple stress theory. The lattice Boltzmann method (LBM) using D2Q13 LB model is coupled to the FEM in order to solve fluid part of FSI problem. In the present study, the governing equations are non-dimensionalized and the set of dimensionless groups is exhibited to show their effects on micro-beam displacement. The numerical results show that the displacements of the micro-beam predicted by the size-dependent beam element are smaller than those by the classical beam element.     

Numerical approaches to simulating nonlinear ultrasound fields generated by diagnostic-type transducers

Two theoretical approaches for simulating nonlinear focused ultrasound fields generated by a diagnostic convex array are compared. The first model is based on the three-dimensional Westervelt equation and describes the full structure of the array field with high accuracy. However, it requires great computational resources and is technically difficult. The second model is based on an axially symmetric form of the parabolic KZK equation for estimating the strength of nonlinear effects in the focal region of a beam, which reduces the computational time by a factor of several hundreds. To establish the boundary conditions to the KZK model, the radius and the focal length of a circular piston source are defined such that the simulated field on the beam axis in the linear case fits the real structure of the field in the focal region. It is shown that the parabolic model can be used to accurately describe the spatial and temporal structure of the field generated by a diagnostic transducer in the focal region of the beam along its axis and in the plane of the beam’s electronic focusing.     

Free vibration analysis of civil engineering structures by component-wise models

Higher-order beam models are used in this paper to carry out free vibration analysis of civil engineering structures. Refined kinematic fields are developed using the Carrera Unified Formulation (CUF), which allows for the implementation of any-order theory without the need for ad hoc formulations. The principle of virtual displacements in conjunction with the finite element method (FEM) is used to formulate stiffness and mass matrices in terms of fundamental nuclei. The nuclei depend neither on the adopted class of beam theory nor on the FEM approximation along the beam axis. This paper focuses on a particular class of CUF models that makes use of Lagrange polynomials to discretize cross-sectional displacement variables. This class of models are referred to as component-wise (CW) in recent works. According to the CW approach, each structural component (e.g. columns, walls, frame members, and floors) can be modeled by means of the same 1D formulation. A number of typical civil engineering structures (e.g. simple beams, arches, truss structures, and complete industrial and civil buildings) are analyzed and CW results are compared to classical beam theories (Euler–Bernoulli and Timoshenko), refined beam models based on Taylor-like expansions of the displacements on the cross-section, and classical solid/shell FEM solutions from the commercial code MSC Nastran. The results highlight the enhanced capabilities of the proposed formulation. It is in fact demonstrated that CW models are able to replicate 3D solid results with very low computational efforts.     

压电陶瓷复合换能器固有频率的有限差分法*

为丰富换能器固有频率的研究理论，以及提供一种新的计算方法供工程人员选择，提出了计算其固有频率的有限差分法。以由径向极化的压电陶瓷圆管与金属预应力管沿径向复合而成的二元压电陶瓷复合换能器为例，建立并推导了其向振动的数学模型及其有限差分形式，给出了换能器径向振动的特征方程。利用MTALAB对计算实例的径向振动的固有频率进行编程计算，理论计算结果与已有实验结果符合很好，验证了有限差分法计算压电陶瓷复合换能器固有频率的可行性及准确性。通过仿真计算，给出了换能器径向振动固有频率与其结构尺寸的影响关系：换能器径向振动的固有频率随压电陶瓷圆管内径的增大而降低，随换能器壁厚比的增大而降低。该文所建立的换能器径向振动固有频率的有限差分法同样适用于结构形式相近的换能器及其他元器件。