Locally nonequilibrium magnetic excitations in insulators

The equation of motion for the magnetic moment vector M in a locally nonequilibrium medium is derived. The dispersion and attenuation of the coupled modes of the magnetic vector potential and magnetization are determined. It is shown that the continuous spectrum contains frequencies corresponding to undamped waves or constant-phase damped waves.     

Dielectric relaxation of samarium aluminate

A ceramic SmAlO₃ (SAO) sample is synthesized by the solid-state reaction technique. The Rietveld refinement of the X-ray diffraction pattern has been done to find the crystal symmetry of the sample at room temperature. An impedance spectroscopy study of the sample has been performed in the frequency range from 50 Hz to 1 MHz and in the temperature range from 313 K to 573 K. Dielectric relaxation peaks are observed in the imaginary parts of the spectra. The Cole–Cole model is used to analyze the dielectric relaxation mechanism in SAO. The temperature-dependent relaxation times are found to obey the Arrhenius law having an activation energy of 0.29 eV, which indicates that polaron hopping is responsible for conduction or dielectric relaxation in this material. The complex impedance plane plot of the sample indicates the presence of both grain and grain-boundary effects and is analyzed by an electrical equivalent circuit consisting of a resistance and a constant-phase element. The frequency-dependent conductivity spectra follow a double-power law due to the presence of two plateaus.     

Bulk and interfacial polarization phenomena of La1−xBaxF3−x crystals

The small-signal a c response of single-crystalline LaF₃ and the anion-deficient solid solutions La_1?xBa_xF_3?x with ionically blocking Pt electrodes has been studied up to 1300 K in the frequency range 10^?2–10⁵ Hz A complex nonlinear least-squares analysis of the admittance and impedance spectra has been employed to obtain a detailed equivalent circuit and the relevant parameter values.At low and moderate temperatures the a c bulk response can be modeled with a Debye-type circuit The circuit parameters are not associated with a dielectric with dipoles, but with free charge carriers migrating over inequivalent sites At higher temperatures the Debye circuit reduces to a resistance, indicating fast exchange of the mobile species between inequivalent anion lattice sites To model the a c interface response, a constant-phase element of the form Y_Q = K_J(lω)^αj in parallel with a resistance has been employed over the entire temperature range The role of interfacial impurity oxygen diffusion is discussed.     

Calculation of the Thermal Resistance of a Heat Distributer in the Cooling System of a Heat-Loaded Element

Numerical simulation is performed for heat transfer in a heat distributer of a thermoelectric cooling system, which is located between the heat-loaded element and the thermoelectric module, for matching their sizes and for heat flux equalization. The dependences of the characteristic values of temperature and thermal resistance of the copper and aluminum heat distributer on its thickness and on the size of the heatloaded element. Comparative analysis is carried out for determining the effect of the thermal conductivity of the material and geometrical parameters on the heat resistance. The optimal thickness of the heat distributer depending on the size of the heat-loaded element is determined.     

An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations

In the paper, an inf-sup stabilized finite element method by multiscale functions for the Stokes equations is discussed. The key idea is to use a Petrov-Galerkin approach based on the enrichment of the standard polynomial space for the velocity component with multiscale functions. The inf-sup condition for $P_1$-$P_0$ triangular element (or $Q_1$-$P_0$ quadrilateral element) is established. And the optimal error estimates of the stabilized finite element method for the Stokes equations are obtained.     

A finite element method for determining the acoustic modes of irregular shaped cavities

A twenty node, isoparametric acoustic finite element model is developed for analysing the acoustic modes of irregular shaped cavities. The element is first used to analyse a rectangular enclosure. This indicates that good accuracy can be obtained if one element is used between each nodal plane. Experiments are described on a model van enclosure. A finite element analysis of the model shows very good agreement with the measured results.     

不确定声场分析的二阶区间摄动有限元法

针对一阶区间摄动有限元法在声场参数不确定程度增大时误差过大的缺陷,在二阶Taylor展开的基础上推导了声学二阶区间摄动有限元法,并将其应用于区间不确定声场的声压响应分析。该方法先对声学区间有限元方程的声压响应向量进行二阶Taylor展开,获取声压响应的二阶近似响应向量;再根据二次函数极值定理获得声压响应向量的上下界。二维管道声场与轿车声腔模型的数值分析算例表明,与一阶区间摄动有限元法相比,二阶区间摄动有限元法有效提高了计算精度。因此二阶区间摄动有限元适合不确定度更大的区间不确定声场声压响应分析,具有良好的工程应用前景。      

Higher order representation of the beam cross section deformation in large displacement finite element analysis

Most existing beam formulations assume that the cross section of the beam remains rigid regardless of the amplitude of the displacement. The absolute nodal coordinate formulation (ANCF); however, allows for the deformation of the cross section and leads to a more general beam models that capture the coupling between different modes of displacement. This paper examines the effect of the order of interpolation on the modes of deformation of the beam cross section using ANCF finite elements. To this end, a new two-dimensional shear deformable ANCF beam element is developed. The new finite element employs a higher order of interpolation, and allows for new cross section deformation modes that cannot be captured using previously developed shear deformable ANCF beam elements. The element developed in this study relaxes the assumption of planar cross section; thereby allowing for including the effect of warping as well as for different stretch values at different points on the element cross section. The displacement field of the new element is assumed to be cubic in the axial direction and quadratic in the transverse direction. Using this displacement field, more expressions for the element extension, shear and the cross section stretch can be systematically defined. The change in the cross section area is measured using Nanson’s formula. Measures of the shear angle, extension, and cross section stretch can also be systematically defined using coordinate systems defined at the element material points. Using these local coordinate systems, expressions for a nominal shear angle are obtained. The differences between the cross section deformation modes obtained using the new higher order element and those obtained using the previously developed lower order elements are highlighted. Numerical examples are presented in order to compare the results obtained using the new finite element and the results obtained using previously developed ANCF finite elements.     

A discontinuous/continuous low order finite element shallow water model on the sphere

We study the applicability of a new finite element in atmosphere and ocean modeling. The finite element under investigation combines a second order continuous representation for the scalar field with a first order discontinuous representation for the velocity field and is therefore different from continuous and discontinuous Galerkin finite element approaches. The specific choice of low order approximation spaces is attractive because it satisfies the Ladyzhenskaya–Babuska–Brezzi condition and is, at the same time, able to represent the crucially important geostrophic balance.The finite element is used to solve the viscous and inviscid shallow water equations on a rotating sphere. We introduce the spherical geometry via a stereographic projection. The projection leads to a manageable number of additional terms, the associated scaling factors can be exactly represented by second order polynomials.We perform numerical experiments considering steady and unsteady zonal flow, flow over topography, and an unstable zonal jet stream. For ocean applications, the wind driven Stommel gyre is simulated. The experiments are performed on icosahedral geodesic grids and analyzed with respect to convergence rates, conservation properties, and energy and enstrophy spectra. The results match quite well with results published in the literature and encourage further investigation of this type of element for three-dimensional atmosphere/ocean modeling.     

A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

A semi-discrete scheme about time for the non-stationary Navier-Stokes equations is presented firstly, then a new fully discrete finite volume element (FVE) formulation based on macroelement is directly established from the semi-discrete scheme about time. And the error estimates for the fully discrete FVE solutions are derived by means of the technique of the standard finite element method. It is shown by numerical experiments that the numerical results are consistent with theoretical conclusions. Moreover, it is shown that the FVE method is feasible and efficient for finding the numerical solutions of the non-stationary Navier-Stokes equations and it is one of the most effective numerical methods among the FVE formulation, the finite element formulation, and the finite difference scheme.     

混合复消色差透镜组的设计原理

通过对混合复消色差透镜组的像差分析导其结构参数的求解方程，根据计算机模拟结果发现，二元光学元件以正透镜为基底和以负透镜为基底时单色像差状况大体相当，但以正透镜为基底时色球差要小得多。     

Mechanisms of dielectric polarization in perovskite ceramics of the relaxor ferroelectrics (1 ? x)(NaBi)1/2TiO3?x Bi(ZnTi)1/2O3 (x < 0.2)

This paper reports on the results of the investigation into the dielectric properties of perovskite ceramics of the relaxor ferroelectrics (1 ? x)(NaBi)_1/2TiO_3?x Bi(ZnTi)_1/2O₃ (x < 0.2) with the use of the impedance spectra measured in the frequency range from 25 to 106 Hz at temperatures from 100 to 1000 K. It has been found that the temperature dependence of the real part of the permittivity is characterized by a maximum at a temperature T?? _m (590?C610 K). It has been shown that, in the temperature region of the existence of the relaxor state (T < T?? _m ), the permittivity ? is determined by the sum of the contributions from the matrix and dipole clusters. The temperature dependence of the contribution from the clusters, which is determined by the kinetics of their formation and freezing, is characterized by a curve with a maximum. It has been revealed that, in the temperature range T > T?? _m , there are two mechanisms of polarization. One mechanism is associated with the thermal hopping motion of charges, whereas the other mechanism provides an induction-type response (system with a negative capacitance). The latter makes a negative contribution to the real part of the permittivity ? and a positive contribution to the imaginary part of the permittivity. A quantitative analysis of the experimental data has been carried out with the use of an equivalent circuit that includes a constant-phase element of the induction type.     

介质折射率对一维三元光子晶体带隙的影响

利用光学传输矩阵法,数值模拟了一维二元、三元光子晶体的带隙结构,得出:三元光子晶体的主带隙略宽于二元光子晶体的主带隙;三元光子晶体的主带隙主要取决于最高折射率的介质和最低折射率的介质,而与居于两者之间的介质关系不大,并作出了相应的关系曲线。最后推导了三元光子晶体的色散关系。     

New breathing functions for the transverse breathing crack of the cracked rotor system: Approach for critical and subcritical harmonic analysis

The actual breathing mechanism of the transverse breathing crack in the cracked rotor system that appears due to the shaft weight is addressed here. As a result, the correct time-varying area moments of inertia for the cracked element cross-section during shaft rotation are also determined. Hence, two new breathing functions are identified to represent the actual breathing effect on the cracked element stiffness matrix. The new breathing functions are used in formulating the time-varying finite element stiffness matrix of the cracked element. The finite element equations of motion are then formulated for the cracked rotor system and solved via harmonic balance method for response, whirl orbits and the shift in the critical and subcritical speeds. The analytical results of this approach are compared with some previously published results obtained using approximate formulas for the breathing mechanism. The comparison shows that the previously used breathing function is a weak model for the breathing mechanism in the cracked rotor even for small crack depths. The new breathing functions give more accurate results for the dynamic behavior of the cracked rotor system for a wide range of the crack depths. The current approach is found to be efficient for crack detection since the critical and subcritical shaft speeds, the unique vibration signature in the neighborhood of the subcritical speeds and the sensitivity to the unbalance force direction all together can be utilized to detect the breathing crack before further damage occurs.     

A study on the applications of the acoustic design sensitivity analysis of vibrating bodies

The determination of the sensitivity of the acoustical characteristics of vibrating systems with respect to the variation of the design parameters predicting these characteristics is a necessary and important step of the acoustic design and optimization process. Acoustic design sensitivity analysis includes the computation and evaluation of the sensitivity information required for this procedure. In this study, a boundary element code performing the sensitivity analysis of the acoustic pressure by using the matrix sensitivities with respect to different design variables has been developed. The effect of the precision of boundary element discretization on the acoustic pressure sensitivity is examined via this code. The formulation is applied to a multi-source system and the dimension sensitivity analysis of near field pressures of two-dilating-spherical source is performed. The last application is devoted to a real sound source: a washing machine sitting on the floor. Sensitivity of the field pressures to the machine’s dimensions (size), surface velocity and frequency is examined on the bases of the boundary element model of the machine and half-space condition. The impacts of these variables are compared; and a limiting speed for the machine responding both the acoustical and operational requirements is determined.     

单声线水声MIMO信道容量的研究

本文对水声MIMO(Multiple-Input-Multiple-Output)信道容量受收发阵元数目、间距,收发阵位置、方向,平均接收信噪比以及声速剖面的斜率的影响,在收发阵元之间只存一条声线的情况下,通过WKB近似进行了初步的研究。从计算结果可以看出,当收发阵元对之间只存在一条声线时,阵元间距会对MIMO信道容量产生重要影响:当收发阵元间距足够大时, MIMO系统的信道容量将随着接收信噪比和收发阵元数线性增加,一个m×m的MIMO系统的信道容量将为相应的 SISO(Single-Input-Single-Output)系统的m倍,收发阵的方向也会对MIMO系统信道容量产生较大的影响,另外,收发阵的深度、距离也会对水声MIMO信道容量产生影响,声速剖面的斜率在一般水声信道的声速变化范围内,对信道容量的影响不大。     

An h-adaptive finite element solver for the calculations of the electronic structures

In this paper, a framework of using h-adaptive finite element method for the Kohn–Sham equation on the tetrahedron mesh is presented. The Kohn–Sham equation is discretized by the finite element method, and the h-adaptive technique is adopted to optimize the accuracy and the efficiency of the algorithm. The locally optimal block preconditioned conjugate gradient method is employed for solving the generalized eigenvalue problem, and an algebraic multigrid preconditioner is used to accelerate the solver. A variety of numerical experiments demonstrate the effectiveness of our algorithm for both the all-electron and the pseudo-potential calculations.     

强磁场对铝合金中溶质组元分布状态的影响效果

合金中溶质组元的组织形态和分布对于改善合金的组织和性能具有重要意义.本文研究了铝合金在强磁场作用下的凝固行为,考察了Al-Cu，Al-Mg合金中溶质组元的相形态、分布状况随高强度均恒磁场和梯度磁场的强度和方向变化的规律.研究发现，由于Cu元素和Mg元素的物性不同导致其在基体中受到的电磁力不同，在均恒磁场作用下，铝合金中Cu元素和Mg元素在α-Al基体晶粒内和晶界上的分布变化规律相反；在梯度磁场作用下，Cu元素和Mg元素在铝基体中含量和分布状态也有显著的差异.本研究为利用强磁场有效控制不同物性的溶质元素在合金基体中组织状态和分布提供了实验依据. 关键词： 强磁场 铝合金 溶质元素分布 凝固组织 凝固过程     

The dependence of the photodisintegration cross section on the off-shell T-matrix

Nucleon-nucleon scattering phase shifts determine the diagonal element of the transition matrix. The off-diagonal elements are not completely arbitrary but have conditions imposed on them by the range and the tail of the potential. Electromagnetic interaction can also be used to place restrictions on the off-diagonal elements. We find that the cross section of the deuteron photodisintegration is sensitive to the off-shell transition matrix. The integrated cross section can be varied by as much as 30 % or more, and the matrix element for the El transition by a factor of 2. While the matrix element for the photodisintegration depends on the off-shell elements of the T-matrix, it cannot be used to discriminate between alternative off-shell T-matrices. We have constructed classes of different off-shell T-matrices, which produce identical photo-disintegration cross sections and other two-body scattering and bound-state properties.     

Representation of the constitutive equation of viscoelastic materials by the generalized fractional element networks and its generalized solutions

The generalized fractional element networks are presented in this paper. In order to extend the structure of the model solutions to the generalized function space and make it contain more physical meanings, the restriction on the parameters of the fractional element proposed by Schiessel et al. is eliminated and a "compatibility equation" is added. The discretization method for solving the inverse Laplace transform is used and developed. The generalized solutions of the model equations are given. At the same time the generalized fractional element network--Zener and Poyinting-Thomson models are discussed in detail. It is shown that all the results obtained previously about the models of single parameter with fractional order and the classical models with integer order can be contained as the special cases of the results of this paper.