Propagation velocity of longitudinal and transverse acoustic waves and anharmonicity of lattice oscillations

A linear correlation between the Grüneisen parameter and ratio of the velocities of longitudinal (ν _l)and transverse (ν _t) acoustic waves in crystals is found. It is assumed that velocities ν _l and ν _t are severally harmonic parameters, while their ratio ν _l/ν _t is an anharmonic quantity and depends on the ratio between the shear and flexural rigidities of interatomic bonds.     

水平层状横向同性地层中频率测深资料全参数快速迭代反演

提出水平层状横向同性地层中频率测深资料的全参数快速迭代反演算法,以便从测量资料中同时确定各个地层的横向、 纵向电导率及层界面深度.首先,利用水平层状介质中电磁场并矢Green函数在频率波数域中的解析解和Sommerfeld积分的 快速计算技术确定正演响应.然后,利用摄动理论和Fourier逆变换公式,研究建立一套快速求解全参数Fréchet导数的 有效算法,并利用规范化处理和奇异值分解技术给出迭代反演过程.最后,给出数值试验证明反演理论的有效性以及反演算法 的抗噪声能力.     

Evaluating acoustic speaker normalization algorithms: evidence from longitudinal child data

Speaker vowel formant normalization, a technique that controls for variation introduced by physical differences between speakers, is necessary in variationist studies to compare speakers of different ages, genders, and physiological makeup in order to understand non-physiological variation patterns within populations. Many algorithms have been established to reduce variation introduced into vocalic data from physiological sources. The lack of real-time studies tracking the effectiveness of these normalization algorithms from childhood through adolescence inhibits exploration of child participation in vowel shifts. This analysis compares normalization techniques applied to data collected from ten African American children across five time points. Linear regressions compare the reduction in variation attributable to age and gender for each speaker for the vowels BEET, BAT, BOT, BUT, and BOAR. A normalization technique is successful if it maintains variation attributable to a reference sociolinguistic variable, while reducing variation attributable to age. Results indicate that normalization techniques which rely on both a measure of central tendency and range of the vowel space perform best at reducing variation attributable to age, although some variation attributable to age persists after normalization for some sections of the vowel space.     

Longitudinal and transverse structure functions in decaying nearly homogeneous and isotropic turbulenceLongitudinal and transverse structure functions in decaying nearly homogeneous and isotropic turbulenceLongitudinal and transverse structure functions in decaying nearly homogeneous and isotropic turbulence

Streamwise evolution of longitudinal and transverse velocity structure functions in a decaying homogeneous and nearly isotropic turbulence is reported for Reynolds numbers Re;t up to 720. First, two theoretical relations between longitudinal and transverse structure functions are examined in the light of recently derived relations and the results show that the low-order transverse structure functions can be well approximated by longitudinal ones within the sub-inertial range. Reconstruction of fourth-order transverse structure functions with a recently proposed relation by Grauer et al. is comparatively less valid than the relation already proposed by Antonia et al. Secondly, extended self-similarity methods are used to measure the scaling exponents up to order eight and the streamwise evolution of scaling exponents is explored. The scaling exponents of longitudinal structure functions are, at first location, close to Zybin＇s model, and at the fourth location, close to She-Leveque model. No obvious wend is found for the streamwise evolution of longitudinal scaling exponents, whereas, on the contrary, transverse scaling exponents become slightly smaller with the development of a steamwise direction. Finally, the stremwise variation of the order-dependent isotropy ratio indicates the turbulence at the last location is closer to isotropic than the other three locations.     

Coupled longitudinal–transverse dynamics of an axially accelerating beam

The coupled longitudinal–transverse nonlinear dynamics of an axially accelerating beam is numerically investigated; this problem is classified as a parametrically excited gyroscopic system. The axial speed is assumed to be comprised of a constant mean value along with harmonic fluctuations. Hamilton’s principle is employed to derive the equations of motion of the system which are in the form of two coupled partial differential equations. The equations are discretized using the Galerkin method, which yields a set of coupled second-order nonlinear ordinary differential equations with time-dependent coefficients. The sub-critical dynamics of the system is examined via the pseudo-arclength continuation technique, while the global dynamics is investigated using direct time integration. The mean axial speed and the amplitude of the speed variations are varied so as to construct the bifurcation diagrams of Poincaré maps. The vibration specifications of the system are investigated more detailed via plotting time histories, phase-plane portraits, and fast Fourier transforms (FFTs).     

Acoustic sounding of the thermal and velocity structure characteristics with allowance for the turbulent attenuation

A method of simultaneous acoustic sounding of vertical profiles of the thermal and velocity structure parameters with allowance for the turbulent sound attenuation is suggested in the present work. A closed iterative algorithm that implements the suggested method is described, and results of its application for processing of measurements with the Zvuk-2 three-component Doppler sodar are given. It is demonstrated that the thermal, velocity, and acoustic refractive index structure characteristics obtained are in good agreement with the data available from the literature. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 84–90, November, 2008.     

The evolution of longitudinal and transverse acoustic waves in a medium with paramagnetic impurities

We study the bipartial interaction of longitudinal and transverse acoustic pulses with a system of paramagnetic impurities with an effective spin S=1/2 in a crystalline layer or on a surface in the presence of an arbitrarily directed external constant magnetic field. We derive a new system of evolution equations that describes this interaction and show that, in the absence of losses, for equal phase velocities of these acoustic components, and under the condition of their unidirectional propagation, the original system reduces to a new integrable system of equations. The derived integrable system describes the pulse dynamics outside the scope of the slow-envelope approximation. For one of the reductions of the general model that corresponds to the new integrable model, we give the corresponding equations of the inverse scattering transform method and find soliton solutions. We investigate the dynamics and formation conditions of the phonon avalanche that arises when the initial completely or incompletely inverted state of the spin system decays. We discuss the application of our results to describing the interaction dynamics of spins and acoustic pulses in various systems with an external magnetic field.     

非饱和土结构对声速的影响

对非饱和土的几种结构模型进行了分析,提出了几种模型非饱和土中声速的计算公式,从中可以看出非他和土的结构对声速的影响,通过声波波速的计算;阐明了含气量对非他和土的声速的影响.对工程勘测上的声速方法有十分重要的指导意义.     

Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking

In this paper, an active control scheme for an axially moving string system that suppresses both longitudinal and transverse vibrations and regulates the transport velocity of the string to track a desired moving velocity profile is investigated. The control scheme utilizes three inputs: one control force at the right boundary, which is exerted by a hydraulic actuator equipped with a damper, and two control torques applied at the left and right rollers. The equations of motion are derived by using Hamilton's principle. Two nonlinear partial differential equations govern the longitudinal and transverse motions, where the variation of the tension of the string due to the transverse and longitudinal vibrations is considered. Among four boundary conditions, two describe the rotational dynamics of the left and right rollers; one determines the dynamics of the hydraulic actuator at the right boundary, and the last one denotes that the left boundary is fixed. The Lyapunov method is employed to generate control laws. Asymptotic stability of the transverse and longitudinal dynamics and the velocity tracking error is achieved. The effectiveness of the proposed control scheme is illustrated via numerical simulations.     

Flame sheet dynamics of bluff-body stabilized flames during longitudinal acoustic forcing

Bluff-body stabilized flames are susceptible to combustion instabilities due to interactions between acoustics, vortical disturbances, and the flame. In order to elucidate these flow-flame interactions during an instability, an experimental and computational investigation of the flame-sheet dynamics of a harmonically excited flame was performed. It is shown that the flame dynamics are controlled by three key processes: excitation of shear layer instabilities by the axially oscillating flow, anchoring of the flame at the bluff body, and the kinematic response of the flame to this forcing. The near-field flame features are controlled by flame anchoring and the far-field by kinematic restoration. In the near-field, the flame response grows with downstream distance due to flame anchoring, which prevents significant flame movement near the attachment point. Theory predicts that this results in linear flame response characteristics as a function of perturbation amplitude, and a monotonic growth in magnitude of the flame-sheet fluctuations near the stabilization point, consistent with the experimental data. Farther downstream, the flame response reaches a maximum and then decays due to the dissipation of the vortical disturbances and action of flame propagation normal to itself, which acts to smooth out the wrinkles generated by the harmonic flow forcing. This behavior is strongly non-linear, resulting in significant variation in far-field flame-sheet response with perturbation amplitude.     

Temporal dynamics of high repetition rate pulsed single longitudinal mode dye laser

Theoretical and experimental studies of temporal dynamics of grazing incidence grating (GIG) cavity, single-mode dye laser pumped by high repetition rate copper vapour laser (CVL) are presented. Spectral chirp of the dye laser as they evolve in the cavity due to transient phase dynamics of the amplifier gain medium is studied. Effect of grating efficiency, focal spot size, pump power and other cavity parameters on the temporal behaviour of narrow band dye laser such as build-up time, pulse shape and pulse width is studied using the four level dye laser rate equation and photon evolution equation. These results are compared with experimental observations of GIG single-mode dye laser cavity. The effect of pulse stretching of CVL pump pulse on the temporal dynamics of the dye laser is studied.     

用纵横波声时比法测螺栓轴力精度研究

用纵横波测量螺栓轴力的技术已取得较大发展,本文介绍了纵横波比值法原理,通过理论推导,获得比值法计算的简易公式。建立试验平台,用现场用螺栓进行标定和测量,得出比值法在工程实践状态下的测量误差为10%以内,基本能满足工程应用的要求。此外,针对试验结果,本文还初步探讨了误差出现的原因以及提高精度的方法。本文介绍的比值法,无需精确测量标定螺栓长度和纵横波声速,现场应用更加简洁,具有较大的工程应用价值。     

Longitudinal and transverse structure functions in decaying nearly homogeneous and isotropic turbulence

Streamwise evolution of longitudinal and transverse velocity structure functions in a decaying homogeneous and nearly isotropic turbulence is reported for Reynolds numbers Reλ up to 720. First, two theoretical relations between longitudinal and transverse structure functions are examined in the light of recently derived relations and the results show that the low-order transverse structure functions can be well approximated by longitudinal ones within the sub-inertial range. Reconstruction of fourth-order transverse structure functions with a recently proposed relation by Grauer et al. is comparatively less valid than the relation already proposed by Antonia et al. Secondly, extended self-similarity methods are used to measure the scaling exponents up to order eight and the streamwise evolution of scaling exponents is explored. The scaling exponents of longitudinal structure functions are, at first location, close to Zybin’s model, and at the fourth location, close to She–Leveque model. No obvious trend is found for the streamwise evolution of longitudinal scaling exponents, whereas, on the contrary, transverse scaling exponents become slightly smaller with the development of a steamwise direction. Finally, the stremwise variation of the order-dependent isotropy ratio indicates the turbulence at the last location is closer to isotropic than the other three locations.     

水声材料横波声速和衰减系数参量源法测量系统

提出了测量10-100 kHz频段水声材料平均横波声速和衰减系数的测量系统,系统具有低频、小尺寸、窄波束的特点。测量装置应用截断参量源作为声源,结合了精密的坐标系统。在对平板声压透射系数的平面波模型进行理论修正和实验研究的基础上,测量平板样品的透射系数(插入损失)的频谱和角谱,并采用曲线拟合方法来估计样品在测量频段的平均横波声速和衰减系数。在2 m×1 m×1.5 m消声水槽中,对一些典型样品(尺寸500 mm×600 mm)进行了测量实验,结果表明,水声材料样品在声波不同入射角时的声学性能有较大差异,不能用声波垂直入射时的声学性能数据代替;横波声速和衰减系数是评定水声材料声学性能的重要参数,尤其在声波斜入射情况下;在研究材料构件或复杂器件的声学性能时它们也是必不可少和不能不考虑的。实验还验证了测量方法和系统的可行性,也表明仅在这一频段的测量还远不能满足水声工程的实际需求,有必要将测量方法应用扩展到更低或更高的频段。     

Plasma-perturbation evolution in the F-region and estimation of ionospheric parameters from sounding data

The problem of plasma perturbation caused by the point emission of energy on the order of 10¹⁴ ergs in the F-region is examined. Perturbation is observed by radio-frequency sounding in the first 15 sec after an explosion. A homogeneous medium and spherical symmetry of the charge are assumed. The conditions for the appearance of strong shock waves in the F-region are analyzed. The structure of the plasma-perturbation front for a shock wave with a Mach number of less than 10 is found everywhere except for a narrow layer near a plane perpendicular to the constant magnetic field. A theoretical model is compared with experimental results.St. Petersburg State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 36, No. 3–4, pp. 203–215, March–April, 1993.     

Competition of the longitudinal resonance and the transverse resonance

Observation of the competition of the longitudinal resonance and the transverse resonance is reported.     

Measurement of velocity distribution for longitudinal acoustic waves in welds by a laser optoacoustic technique

An optoacoustic technique for diagnostics of residual stress in metals is proposed. The theoretical part of the technique employs acoustoelastic relations establishing a linear relationship between the biaxial residual stress and the relative variation of the velocity of longitudinal ultrasonic waves. The experimental technique is based on laser excitation of nanosecond ultrasonic pulses at the surface of samples under investigation and their detection with a high time resolution. Distributions of the relative variation of longitudinal wave velocities due to the presence of residual stress in the samples are obtained.     

Assessment of acoustic pressure holograms from membrane velocity measurements

The aim of this paper is to demonstrate experimentally the possibility of acquiring acoustic pressure holograms using a light membrane and a scanning laser vibrometer. The velocity of a light membrane placed in an acoustic field can be measured without contact by means of a laser vibrometer. The ideal membrane must be optically reflective, acoustically transparent (having as little mass as possible), impermeable, and mounted without tension. The measured velocity is equal for continuity reasons to the normal acoustic velocity, but differs from the acoustic velocity without the membrane because the membrane is never completely transparent to acoustic waves. The effect of the mass of the membrane can be taken into account to correct this difference. Then, acoustic pressure holograms can be deduced from velocity holograms using the 2D Discrete Fourier Transform. An experimental validation is carried out; acoustic pressures derived from laser measurements are compared with microphone measurements, with a very satisfying match over a wide frequency range.