固体板中SH型板波的\

从理论上研究了固体板内SH型板波的\     

固体板中SH型板波的“共振”二次谐波发生

从理论上研究了固体板内SH型板波的“共振”二次谐波发生。结果表明，当固体板内SH型板波的相速等于板材介质的纵波声速时，二阶驱动波表现出沿固体板界面方向积累的性质。根据二阶应力边界条件，确定出了固体板内的二阶积累波。尽管本文不能完全确定出板内的二阶平面波，但文中求得的固体板内伴随SH型板波传播所发生的二阶积累波，仍是具有实际意义的。     

兰姆波非线性效应的实验观察

对兰姆波非线性效应进行了实验观察。首先,对实验所采用的Ritec系统进行了介绍,尤其对实验系统的声学部分进行了详细考虑,特别是对二次谐波的时域响应进行了简洁直观的分析。根据兰姆波具有强烈非线性效应的条件,采用斜劈换能器发射和接收兰姆波。改变发射与接收斜劈换能器的间距,对一定频率范围内的兰姆波及二次谐波在固体板表面的振幅进行了测量。在基频与二倍频兰姆波相速度相等所对应的频率附近,分析了二次谐波振幅随传播距离的定量关系,从实验上证实了二次谐波在传播过程中具有积累增长效应的结论。     

等离子体中电波传播的三波非线性效应

利用等离子体非线性效应的三波法是解决黑障问题的一种可能的解决方案。从三波非线性理论出发,详细介绍了转化效率的计算方法,进而对不同等离子体电子密度模型下的非线性效应进行分析。数值仿真结果表明：存在一个最优的信号入射角度,当信号以该角度入射时转化效率最大;等离子体厚度会对最佳入射角产生一定影响,当厚度减小时,最佳入射角变大;等离子体电子密度变化范围、厚度、入射波及泵源参数都相同时,共振点处电子密度导数值越大,非线性效应越强。     

等离子体中电波传播的三波非线性效应

利用等离子体非线性效应的三波法是解决黑障问题的一种可能的解决方案。从三波非线性理论出发,详细介绍了转化效率的计算方法,进而对不同等离子体电子密度模型下的非线性效应进行分析。数值仿真结果表明:存在一个最优的信号入射角度,当信号以该角度入射时转化效率最大;等离子体厚度会对最佳入射角产生一定影响,当厚度减小时,最佳入射角变大;等离子体电子密度变化范围、厚度、入射波及泵源参数都相同时,共振点处电子密度导数值越大,非线性效应越强。     

各向异性固体板中的非线性超声导波

将超声导波的非线性视为线性波动响应的一个二阶微扰,采用二阶微扰近似和导波的模式展开分析方法,从理论上研究了各向异性固体板中超声导波的二次谐波发生效应,给出了超声导波二次谐波声场的一般形式解。板材的各向异性可从多个方面对二次谐波发生效应产生影响,尤其是板材各向异性引起的导波模式相速度的改变,可显著地影响到构成导波二次谐波声场的二倍频导波模式随传播距离的积累增长程度。根据理论分析和数值计算结果可知,在不同传播方向上超声导波的非线性效应存在较显著的差异,伴随基频导波模式的传播所发生的二次谐波对固体板材的各向异性表现出更为敏感的性质,这一结果可为准确定征板材的弹性各向异性提供一种理论依据。     

兰姆波非线性效应的实验观察(Ⅱ)

基于Ritec-SNAP系统对固体板中传播的兰姆波的非线性效应进行了实验观察。根据导波的模式展开分析方法和兰姆波的频散曲线,简述了兰姆波的积累二次谐波发生条件。采用一定倾角的斜劈换能器在固体板表面激发和接收兰姆波的基波和二次谐波时域信号,阐述了兰姆波的基波、二次谐波时域脉冲包络的积分振幅的物理意义,在固体板表面分别测量了不同传播距离的兰姆波的基波、二次谐波的幅频曲线。在兰姆波具有非线性效应的频率值附近,分析了兰姆波的二次谐波振幅随传播距离的变化关系。实验结果进一步证明了兰姆波在一定条件下具有强烈的非线性效应,其二次谐波表现出随传播距离积累增长的性质。     

两侧有固体层负载时板中Lamb波的传播

本文研究了薄板二面有固体导负载时板中Ｌａｍｂ波的传播，从弹性波理论出发并结合应的边界条件，导出板中Ｌａｍｂ波的色散方程，数值计算表示，不管作为自由状态时板中Ｌａｍｂ波相速（板厚取定时）是大于或小于外层固体的声表面波波速，板中对称及反对称模式的Ｌａｍｂ波相速都随着外层固体层厚度增加而变化并且渐近于外层固体的声表面波波速，数值计算又表明，对很薄的板，板中对称及反对称模式的相速均随负载板的厚度呈线性变化     

圆管结构中周向导波非线性效应的模式展开分析

在二阶微扰近似条件下, 采用导波模式展开分析方法研究了圆管结构中周向导波的非线性效应. 伴随基频周向导波传播所发生的二次谐波, 可视为由一系列二倍频周向导波模式叠加而成. 从动量定理出发, 结合柱坐标系下非线性应力张量及其散度的数学表达式, 针对圆管中某一基频周向导波模式, 推导出相应的二倍频应力张量及二倍频彻体驱动力的数学表达式, 建立了确定二倍频周向导波模式展开系数的控制方程, 得到了伴随基频周向导波传播所发生的二次谐波声场的形式解. 理论分析和数值计算表明, 当构成二次谐波声场的某一二倍频周向导波模式与基频周向导波的相速度匹配时, 该二倍频周向导波模式的位移振幅表现出随传播周向角积累增长的性质; 当两者的相速度失配时, 二倍频周向导波的振幅随传播周向角表现出“拍”效应.     

矩形截面固体波导中弹性导波模式的板波叠加解

参照板中兰姆波模式的子波叠加解求解了矩形截面固体波导中弹性导波的模式。其中子波设定为横向满足自由边界反射条件、纵向波数分量相同的各板波模式。假设声场的完备性,利用子波模式的正交性,结合矩形截面的几何对称性可以得到4组独立导波特征方程用于频散曲线以及导波模式计算,其计算结果与有限元法计算结果相符。研究以解析模型表明:矩形截面固体波导中的导波是其内部以一定纵向波数分量斜向传播的板波模式在两个自由侧面上经过反复反射与模式转化后,横向耦合谐振而形成的。     

SH wave propagation in a piezoelectric/piezomagnetic plate with an imperfect magnetoelectroelastic interface

In this paper, we investigate the SH wave propagation in a layered piezoelectric (PE) and piezomagnetic (PM) plate with an imperfect magnetoelectroelastic interface. A linear magnetoelectroelastic spring model is used to describe the weakness of the imperfect interface. On the basis of this model, dispersion curves and mode shapes of the SH waves are computed. In particular, a PZT-5A/CoFe₂O₄ composite plate is considered in the numerical examples to calculate the dispersion curves and the mode shapes for different combinations of the magnetic, electrical and elastic spring constants. The effects of the layer thickness ratio and the electric-magnetic boundary conditions on the dispersion curves are discussed in details. Our results show that for a general weak bonding case, the high modes of the dispersion curves are not monotonous in the range of small wave numbers. With the layer thickness ratio increasing, the wave velocities of the SH waves increase. The electric boundary conditions mainly determine the dispersion curves of the SH waves in the case of a small layer thickness ratio, i.e. a large thickness of the PE layer. The present results have relevant applications in the nondestructive testing and evaluation of the layered PE/PM plate-like wave devices.     

Experimental analysis of acousto-ultrasonic wave propagation mode in thin plate

1IlltroductionAcousto-Ultrajsonicsisanewmethodfornon-destructivetestingandevaluationoftheplates,whichwasproposedbyAmericanscientistsattheendofthe19703s[1'2].ThetermofAcousto--Ultrasonicsmaybetakenasacontractionof"acousticemissionsimulationwithultrasonicsources."Inacousto--ultrasonicapproach,thesenderandreceiverareusuallycoupledtothesamesurfaceofthetestedobject.Thissatisfiestheneedoftestingononesideinmanycases.Inordertoexcitethestresswaves,whichpropagateparalleltothesurfaceofthetestedplate,th…     

薄板声-超声检测超声传播模式的实验研究

在声-超声检测中,人们用纵波换能器在被测板材表面的某一位置向试件中发射宽带超声波,接收换能器则设置在试件同一表面的另一位置,因此,正确认识这种检测形式下的超声波传播特性是有效应用该技术的基础。本文通过实验研究证实,薄板在声-超声检测形式下激发出的超声波的主要成分是多模式的兰姆波。文中用声-超声方法在两种厚度的铝板中激发并接收到了宽带的兰姆波。     

非线性兰姆波在阶梯板中传播的有限元仿真

在非线性兰姆波检测中,累积二次谐波是重要的检测信号.该文利用有限元法仿真了非线性兰姆波在阶梯板中的产生和传播过程,通过二维离散傅里叶变换分析了兰姆波的传播模态和各个模态通过波导横截面的能流大小,给出了各个模态在阶梯板中的反射、透射系数,总结了其随阶梯板厚度的变化规律.研究发现,随着台阶增高,散射效应使得兰姆波更难入射波...     

General solution of cumulative second harmonic by Lamb wave propagation in a solid plate

A straightforward approach has been developed for the general solution of cumulative second harmonic by Lamb wave propagation in a solid plate. The present analyses of second-harmonic generation by Lamb waves focus on the cases where the phase velocity of the fundamental Lamb wave is exactly or approximately equal to that of the double frequency Lamb wave （DFLW）. Based on the general solution obtained, the numerical analyses show that the cumulative second-harmonic fields are associated with the position of excitation source and the difference between the phase velocity of the fundamental Lamb wave and that of the dominant DFLW component.     

Characterization of surface properties of a solid plate using nonlinear Lamb wave approach

A nonlinear Lamb wave approach is presented for characterizing the surface properties of a solid plate. This characterization approach is useful for some practical situations where ultrasonic transducers cannot touch the surfaces to be inspected, e.g. the inside surfaces of sealed vessels. In this paper, the influences of changes in the surface properties of a solid plate on the effect of second-harmonic generation by Lamb wave propagation were analyzed. A surface coating with the different properties was used to simulate changes in the surface properties of a solid plate. When the areas and thicknesses of coatings on the surface of a given solid plate changed, the amplitude-frequency curves both of the fundamental waves and the second harmonics by Lamb wave propagation were measured under the condition that Lamb waves had a strong nonlinearity. It was found that changes in the surface properties might clearly affect the efficiency of second-harmonic generation by Lamb wave propagation. The Stress Wave Factors (SWFs) in acousto-ultrasonic technique were used for reference, and the definitions of the SWFs of Lamb waves were introduced. The preliminary experimental results showed that the second-harmonic SWF of Lamb wave propagation could effectively be used to characterize changes in the surface properties of the given solid plate.     

声波在固体板中的多径传播及其时间反转声场

采用无穷长条形阵元在固体板自由表面激发,研究了固体板中声波(纵波和横波)传播的多径效应,在射线近似下深入分析了柱面纵波和横波在固体板中的多次反射及波型转换特性,给出了简明解析表达式;将时间反转法应用于固体板中声波的传播,在理论和实验上分析了时间反转声场规律,证明了从不同阵元发出的沿不同路径传播的声波时间反转后同时同相到达原接收点,表明时间反转法能自动补偿固体板中由于多径效应造成的波形畸变;还通过聚焦增益和主副瓣比定量地分析了时间反转声场的自适应聚焦过程,考查了焦点位置和换能器阵列孔径对聚焦效果的影响,得到了理论和实验相符的结果。     

Stability problem in nonlinear wave propagation

An explicit expression for the excitation spectrum of the stationary solutions of a nonlinear wave equation is obtained. It is found that all branches of many-valued solutions of a nonlinear wave equation between the (2K+1,2K+2) turning points (branch points in the complex plane of the nonlinearity parameter) are unstable. Some parts of branches between the (2K,2K+1) turning points are also unstable. The instability of the latter is related to the possibility that pairs of complex conjugate eigenvalues cross the real axis in the κ plane. Zh. éksp. Teor. Fiz. 114, 1487–1499 (October 1998) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.     

Asymmetric wave propagation in nonlinear systems

A mechanism for asymmetric (nonreciprocal) wave transmission is presented. As a reference system, we consider a layered nonlinear, nonmirror-symmetric model described by the one-dimensional discrete nonlinear Schr?dinger equation with spatially varying coefficients embedded in an otherwise linear lattice. We construct a class of exact extended solutions such that waves with the same frequency and incident amplitude impinging from left and right directions have very different transmission coefficients. This effect arises already for the simplest case of two nonlinear layers and is associated with the shift of nonlinear resonances. Increasing the number of layers considerably increases the complexity of the family of solutions. Finally, numerical simulations of asymmetric wave packet transmission are presented which beautifully display the rectifying effect.