受均布速度作用的有限板面导纳研究

针对接触面积上典型的激励形式,均布速度激励,推导有限薄板上面导纳的理论计算方法。在推导过程中,将接触面积离散为较小的子面积,连续分布的激励和响应简化为作用在子面积中心的激励和响应,再利用有效点导纳的定义,获得有限薄板受均布速度激励的面导纳的理论计算公式;根据接触面积上复功率与面导纳的关系,推导出由传递点导纳获得有限板面导纳的测量方法。通过比较理论计算结果和实验测量结果,证明两种方法可行。对计算结果进行的分析还表明,子面积数的增加可以提高理论计算的精度,而测量精度在激励频率较高时受测量装置产生的弯矩影响较大。     

均布速度激励下矩形接触表面上力的分布与能量传递

研究无限大板受均布速度激励的矩形接触表面上的力的分布形式和振动能量传递的特性。利用离散的数学模型推导出了均布速度激励下力的计算方法,并计算了接触面积上力的分布。还研究了接触面积内各点及整个接触面积的能量传递特性以及激励频率和接触面积尺寸对其的影响。对如何减小结构之间振动能量的传递、提高隔振效果提出了相应的对策。     

Three-dimensional analytical solution for a transversely isotropic functionally graded piezoelectric circular plate subject to a uniform electric potential difference

This paper studies the problem of a functionally graded piezoelectric circular plate subjected to a uniform electric potential difference between the upper and lower surfaces. By assuming the generalized displacements in appropriate forms, five differential equations governing the generalized displacement functions are derived from the equilibrium equations. These displacement functions are then obtained in an explicit form, which still involve four undetermined integral constants, through a step-by-step integration which properly incorporates the boundary conditions at the upper and lower surfaces. The boundary conditions at the cylindrical surface are then used to determine the integral constants. Hence, three-dimensional analytical solutions for electrically loaded functionally graded piezoelectric circular plates with free or simply-supported edge are completely determined. These solutions can account for an arbitrary material variation along the thickness, and thus can be readily degenerated into those for a homogenous plate. A numerical example is finally given to show the validity of the analysis, and the effect of material inhomogeneity on the elastic and electric fields is discussed. Supported by the National Natural Science Foundation of China (Grant Nos. 10472102 and 10432030) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20060335107)     

Laser excitation of flexural waves and their scattering by fractal inhomogeneities in a thin plate

The excitation of flexural waves in a thin plate (film) by harmonically modulated laser radiation and their scattering by small fractal inhomogeneities are considered. An expression for the mean fluctuation intensity for the scattered wave field is obtained. A relationship between the intensity, parameters of the laser radiation and the plate, and the fractal dimension of inhomogeneities is found. The expected frequency dependence of the flexural wave attenuation in the plate due to their scattering by fractal inhomogeneities is discussed.     

Vibrations of double-span uniform beams subject to an axial force

This study deals with the determination of natural frequencies of transverse vibrations of simply supported, clamped, and clamped-simply supported beams with an intermediate support subject to an axial force.Results are presented in graphical fashion as a function of the governing geometric and mechanical parameter.     

Transition radiation from a relativistic electron obliquely incident on a thin metal plate of finite transverse dimensions

The problem of transition radiation generated by the oblique motion of a relativistic electron through a thin metal plate of finite transverse dimensions is considered. The expressions for the spectral and angular densities of radiation emitted forward and backward are obtained. It is shown that, in the millimeter and the submillimeter range, the spectra of both forward and backward radiation for targets of finite transverse dimensions can differ substantially from the corresponding spectra for an infinite plate.     

Application of a uniform semiclassical theory to the multiple Coulomb excitation of heavy ions

Transition probabilities of classically allowed multiple Coulomb excitation of deformed heavy nuclei induced by heavy ions are calculated within a uniform semiclassical approximation. It is found that a Bessel uniform approximation is necessary and that caustics have to be treated carefully.     

Error due to two-force excitation in moment mobility measurement

In direct moment mobility measurement, one difficulty is the moment excitation. Two-force configuration excitation is widely used to generate moment in practice. Previous error analysis mainly focused on the initial load of exciters, the matching of the two forces, and the system resonance. In this paper, the distance requirement of two-force configuration in moment excitation is investigated. Based on the numerical calculation, other factors that affect the error in moment mobility measurement are discussed. The influence of the deduced distance requirement on moment mobility measurement is also explained.     

Electrical characterization of plate piezoelectric transducers bonded to a finite substrate

This article presents a new technique for characterizing piezoelectric transducers attached to a finite substrate. It consists of determining the impedance of the transducer cleared of the effects caused by finite dimensions of the substrate. This technique is validated by comparison with measurements on a transducer mounted on an effectively half-infinite substrate. It is applied for the electrical matching of a lithium niobate plate transducer bonded to a fused quartz rod.     

Direct measurement of moment mobility and a moment excitation system

Over the years, a number of investigators have tried to solve the problems in the direct measurement of moment mobility. However, no one has found a moment excitation system that can produce a pure and sufficiently powerful moment. In the past, most investigators tried to solve the problem of impurity in moment by tackling the problem in unmatched shakers in a moment exciter. Su and Gibbs (Su J, Gibbs BM. Measurement of point moment mobility in the presence of non-zero cross mobility. Applied Acoustics 1998;54(1):9-26) have indicated theoretically that compromise between the purity and the power of a moment generated by the moment exciter is greatly affected by the output force impedance of the moment excitation system. In this paper, experiments have been conducted to investigate the effect of output force impedance on direct measurement of moment mobility from which theory of Su and Gibbs has been verified. Methods of improvements of the moment exciter have been proposed in order that the moment exciter can generate a pure and sufficiently powerful moment.     

Light-guide plate using periodical and single-sized microstructures to create a uniform backlight system

Light-guide plates (LGPs) with aperiodic or size-varied microstructures are widely used in edge-lit light-source backlight systems for their high uniformity. In this Letter we designed a LGP with periodic and single-sized microstructures and analyzed the relationship between the holistic arrangement density of the microstructures and the uniformity. By controlling the holistic arrangement density of the microstructures, the uniformity could also be increased.     

Response to profile-imposed excitation with randomly varying traversal velocity

Stationary response of a travelling system to profile-imposed excitation is investigated. The system is treated as linear and both the profile and traversal velocity of the system are considered to be stationary and Gaussian random functions of horizontal distance. The problem is formulated by means of a differential equation with random coefficients, and detailed analysis of vertical vibrations of the system travelling with small random velocity fluctuations is performed. An analytical expression for response spectral density is obtained in a relatively simple form for a general case, and this is used in calculation of the effect of randomly-varying velocity on a system's response in particular cases relevant to vehicle dynamics.     

Selective excitation of magnetostatic modes of a thin film

A ferromagnetic resonance technique for selective excitation of various series of magnetostatic modes of a thin film is presented. Microwave absorption spectra of a YIG film are recorded in various configurations. The observed resonance fields for both surface and volume modes are found to be in good agreement with the fields calculated from a generalized form of the Damon-Eshbach formula.     

High-resolution velocity selecting separated-field excitation of a calcium atomic beam

It is shown that pulsed separated-field excitation provides a useful method for time-of-flight velocity selection of atomic beams. High-resolution nonlinear optical Ramsey fringes generated by one narrow velocity group have been observed at the (³ P ₁–¹ S ₀) intercombination line of Ca. The corresponding second-order Doppler broadening deduced from the Fourier transform of the fringe signal could be reduced by about one order of magnitude from 3.7 kHz for cw separated field excitation to 0.4 kHz.     

Acoustic excitation of a square plate by turbulent flow noise

An experiment was conducted to measure the characteristics of flow noise in a bounded system with forced circulation. The flow noise facility is described herewith. Vortex shedding in the conducting rectangular ducting was experimentally controlled by the insertion of cylinders of various diameter and pitch perpendicular to the flow. The sound pressure level exciting an instrumented square plate parallel with the flow direction was measured, as well as the plate response.     

The velocity autocorrelation function of a finite model system

We investigate in detail the dependence of the velocity autocorrelation function of a one-dimensional system of hard, point particles with a simple velocity distribution function (all particles have velocities ±c) on the size of the system. In the thermodynamic limit, when both the number of particlesN and the length of the boxL approach infinity andN/L , the velocity autocorrelation function(t) is given simply by c² exp(–2ct@#@). For a finite system, the function _N(t) is periodic with period 2L/c. We also show that for more general velocity distribution functions (particles can have velocities ±c_i,i = 1,...), _N(t) is an almost periodic function oft. These examples illustrate the role of the thermodynamic limit in nonequilibrium phenomena: We must keept fixed while letting the size of the system become infinite to obtain an auto-correlation function, such as(t), which decays for all times and can be integrated to obtain transport coefficients. For any finite system, our _N (t) will be very close to(t) as long ast is small compared to the effective size of the system, which is 2L/c for the first model.Supported in part by the AFOSR under Contract No. F44620-71-C-0013.     

Noise reduction analysis for a stiffened finite plate

This paper presents an analytical solution for the vibration and acoustic responses of a finite stiffened plate that is covered with decoupling layers and subjected to external excitation. The theory of elasticity is used for the decoupling layer, and the stiffened plate is modeled by the plate theory and Euler–Bernoulli beam equation. Equations are constructed by the boundary conditions at the plate/coating and coating/fluid interfaces. The problem can be solved by the proposed method in this paper. Test verification shows that a good correlation exists between theoretical and test results. Thus, the theoretical study in this paper is correct. Numerical results show that shear waves insignificantly affect the structural vibration level difference (VR) under low frequencies. The noise reduction of the stiffened plate covered with decoupling layers is greatly influenced by the decoupling layer loss factor. A failure region of the vibration level difference is present in the low frequency band of the decoupling layer. Furthermore, the thickness of the decoupling layer significantly affects noise reduction.     

The transmission of sound through a cavity-backed finite plate

This paper is concerned with the influence of a finite cavity backing a finite panel on the transmission of sound through the panel and on the vibration of the panel. Such phenomena as negative transmission loss, combined panel and cavity resonance, coincidence and cavity resonance are readily identified from the final expressions. A graphical technique, first used in a one-dimensional study of this case, is shown to be applicable in the three dimensional case to predict frequencies of interest. The theoretical analysis is compared with experimental results and with the predictions of other workers.