查询词典 rayleigh quotient

Based on the linear elastodynamics theory, an analytical model is established for the propagation of generalized Rayleigh waves in a coated structure. Moreover, the dispersion equation is derived from the wave motion equations and the boundary conditions.

基于弹性动力学的线性理论，建立了涂层材料中广义瑞利波传播的理论分析模型，并且由波动方程和边界条件推导了波的频散方程。

Phase velocity error caused by position error of microtremor observation array is computed under different conditions such as two different dispersive phase velocity models of Rayleigh wave, three kinds of radius, 19 kinds of observation position mode and 6 types of position error.

为研究地脉动观测台阵中观测点之间的定位误差带来的影响，计算了在两种瑞利波频散模型、3种不同的圆周半径以及19种观测位置等多种情况下由6种定位误差引起的瑞利波相速度相对误差，结果表明：由于圆周上观测点数目有限，在不存在定位误差时，相速度误差也是存在的，随观测点位置的不同，相速度相对误差存在差异，其最大值约为最小值的3倍。

The non-relativistic energies and wave functions were determined by Rayleigh-Ritz method. The relativistic effects, including the correction to kinetic energy, the electron-electron contact term, and the orbit-orbit interaction, Darwin term, and mass-polarization effect on the energies were calculated by using first-order perturbation theory. In order to obtain a more accurate result for the larger Z system, the quantum-electrodynamics correction should be included. This correction to energy can be evaluated for the valence electron by using a hydrogenic formula with an effective nuclear charge, Z. The ionization potential, the excitation energies and the fine structure split-tings for a lithium-like ion with higher nuclear charge (Z=26) were calculated.

非相对论能量用Rayleigh-Ritz变分法确定，包括动能修正、电子—电子接触项、轨道—轨道相互作用项以及Darwin项的相对论修正和质量极化项由全实加关联波函数的一阶微扰给出，量子电动力学修正由有效核电荷方法和类氢公式计算；给出了较高核电荷(Z=26)类锂体系1s^2nl组态的电离能、激发能和1s^2np组态的精细结构劈裂。

Thus far, little has been known for the extreme value distribution of general structural dynamic stochastic responses, except for some special results, say, the Rayleigh distribution in the case of narrow - banded Gaussian stochastic processes.

由于基于首次超越破坏准则的结构动力可靠度问题可以转化为相应动力反应极值分布的积分问题，获取结构动力随机反应的极值分布具有重要的意义川。

Therefore the dispersion curves obtained in the field are primarily consisted of the first mode. For a heterogeneous elastic solid consisting of three homogeneous layers whose interlayer has low velocity, the phase velocity V〓 of the first mode will also close up to the Rayleigh wave velocity of the bottom layer when frequency f→OHz, but V〓 of the first mode will close up to the shear wave velocity of the interlayer when f→∞, and there is a cut-off frequency at high frequency region for the first mode and V〓 close up to the compressional velocity of interlayer when interlayer is liquid.

当三层固体介质中存在软夹层时，若f→OHz，则其基阶模式的相速度V〓→V〓（V〓为最底层介质的瑞利波速度）；若f→∞，其基阶模式V〓→V〓（V〓为中间层介质的横波速度）；若三层介质中存在液体夹层，当f→OHz时，基阶模式V〓→V〓，而基阶模式在高频段存在一个截止频率，截止频率处的瑞利波速度V〓→V〓；由此可判定，野外实测的相速度频散曲线不仅有基阶导波模式，同时还应有高阶导波模式波的存在，接收信号中存在模式间的跳跃，因此频散曲线会产生"之"字形现象。

The application of the combined shallow seismic reflection method and Rayleigh surface wave method to the field quality inspection of the leakage-proof wall shows that the integrated application of the two methods can not only detect the continuity of the leakage-proof wall and the burial depth of the roof and the footwall rather effectively but also measure the thickness of the wall quite accurately.

采用浅层地震反射波法和瑞雷面波法相结合，对大堤防渗墙或隔渗墙的质量进行检测结果表明，两者的综合应用，不仅能有效地检测防渗墙或隔渗墙的连续性和顶底板埋深，而且能较为准确地获取墙的厚度这种综合方法为无损检测墙的质量提供了一种行之有效的检测手段

Based on the Betti-Rayleigh dynamic reciprocal theorem, the reciprocal property of the Green function is demonstrated; and the analytical solution of soil vibration subjected to moving loads is deduced. By means of double Fourier integral transform, the problem is firstly transformed into wave number-frequency domain, which makes it very convenient to derive the solution and furthermore to analyze the frequency characteristics of soil vibration.

基于Betti-Rayleigh动力互易定理，论证了地基土Green函数的互易性，推导了移动荷载引起的地基土振动解析解，进而推证出移动常力荷载和移动简谐荷载作用下地基于表面振动在波数－频率域内和空间－时间域内的解析表达式，并采用Matlab对其进行数值计算。

Variations of attenuation coefficients with rain rate for MP and LP model are compared under Mie theory and Rayleigh approximation. The approach to the solution of the Fourier integral in closed form is adopted for pulse propagation through rain medium .

在此基础上应用傅立叶时域积分近似解的方法研究了毫米波段脉冲波通过雨介质时，脉冲畸变随频率、降雨率、传播距离及脉冲宽度变化的关系。

Different versions of Rayleigh criteria for freckle formation during the study of macrosegregation were summarized in this paper.

对合金宏观偏析研究中出现的各种形式的Rayleigh判据及其应用进行了总结。

How to extract the accurate and reliable frequency disperse curve is one of the key issues for Rayleigh wave exploration technology.

如何提取准确可靠的频散曲线是瑞雷波勘探技术关键问题之一。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。