特征方程

建立了成层无限固体介质中Stoneley波的特征方程，并利用这一特征方程进一步讨论了成层无限固体介质中Stoneley波的特性。

The dispersion secular equation of Stoneley waves in two infinite solid media is obtained . The characteristics of Stoneley waves in layered solid media are discussed by using the secular equation .

利用有限元法及解析法相结合的方法建立了地基含有倾斜层时Love波弥散特征方程和位移计算公式。

The formulation of Love wave secular equation and displacement distribution in layered soils with sloping layers is developed by using finite element method and analytical method in this paper .

Rayleigh表面波频散曲线的特征方程的计算方法

Method for Computing the Characteristic Equation of Rayleigh Surface Wave Dispersion Curve

一个含有CP的触发器特征方程及其应用

Characteristic Equation for Flip-flop with ' Clock Pulse ' Variable and Its Application

本文推导了成层地基的Rayleigh波特征方程及相应的位移和应力分布计算公式。

The characteristic equation of Rayleigh wave in a layered soil is formulated .

成层地基的Rayleigh波特征方程的解法

A new method to solve characteristic equation of Rayleigh wave in a layered soil

带Hilbert核奇异积分方程特征方程的Galerkin方法

The Galerkin Method for the Characteristic Equations of the Singular Integral Equations with Hilbert Kernel

本文基于准TEM模假设，推导了非对称的及对称的矩形光波导的特征方程。

Based on the quasi-TEM Mode assumption , the characteristic equations of the rectangular optical waveguides were obtained in this paper .

当长线采用n个等效的t型或∏型网络代替时，暂态短路电流的计算要解高阶的特征方程。

The calculation of transient short circuit current needs root extraction of higher order proper equation when T networks or Π networks are used to replace distant transmission lines .

通过后屈曲分析，应用Galerkin法导出了含有轴对称初始几何缺陷的复合材料圆柱壳的屈曲特征方程。

Galerkin method is employed to derive the eigenvalue equation of the shells containing axisymmetrical initial geometrical imperfections .

再次，通过分析特征方程，发现一般情况下，系统的局部稳定性由于经历Hopf分支而发生变化。

Thirdly , we find local stability is changed through a Hopf bifurcation by analyzing the characteristic equation .

用直线法分析了多层介质填充的H形波导，用传递矩阵获得了这种波导在不同模式下的特征方程，同时验证了该方法的正确性。

The H-wave guide with laminated dielectric slab is analyzed by using the method of straight lines and the characteristic equations of this wave guide is obtained by using transfer matrix .

进一步根据所建立的TI介质多波振幅特征方程导出了TI介质中多波AVA反演方程。

The AVA inversion equation of multiwave in TI media has been set up on the basis of amplitude characteristic equations .

通过分析误差系统的特征方程和计算响应系统的最大条件Lyapunov指数，分别导出了离散混沌系统的同步条件。

Through analyzing the equation of the error system and calculating the maximum Lyapunov exponents of the response system , the synchronization conditions are gained .

第二章，从特征方程出发，求解了大芯径、大数值孔径（典型值：直径980微米，NA为0.5左右）聚合物光纤的所有传导模式。

In the second chapter , by analyzing fiber mode equations , all transmission modes of POF with large diameter and large numerical aperture have been resolved successfully .

在该弱形式的基础上，利用特征方程展开方法（eigenfunctionexpansiontechnique），可以得到一个分析压电材料裂纹尖端处力电耦合场奇异性的特殊的一维有限元列式。

By using the eigenfunction expansion technique and the weak form , a special one-dimensional finite element formulation is developed to determine singularities of electromechanical fields at the crack tip in piezoelectrics .

本文在分析现有触发器特征方程的基础上，提出了把CP输入作为一个输入变量直接与（？）

Based on the analysis of the existing characteristic equations for a flip-flop controller , a new equation containing the ' clock pulse ' variable is proposed .

通过分析平面切口问题的Williams特征方程的有解区间，使用分区加速lleruM&法依序无漏地计算了平面V型切口特征值。

Following the analysis to the existence intervals of the Williams equations , the subregion accelerated lleruM & method is used to calculate the eigenvalues of plane notch problems .

本文从附有限制条件的条件平差（theConditionAdjustmentwithConstraints）的数学模型（简称CAC模型）出发，推导了方差分量估计的特征方程，并给出了方差分量估值的方差&协方差矩阵。

The characteristic equation , for estimation of variance components and the variance & covariance matrix of the estimated compenents are derived for the model of Condition . Adjustment with Constraints ( CAC ) .

根据所得奇异积分方程和Cauchy型积分的端点性质，得出了确定刚性线和界面交点处奇异性阶数的特征方程。

The characteristic equation of the singular stress order at the intersection is obtained using the integral equation and tip characteristic of Cauchy type integral .

根据PSD的原理及特征方程，分析了存在背景光时PSD输出信号是非线性的。

Following the principle and feature equations of the PSD , it is found that the output signal of PSD is nonlinear when there exists background light .

利用伽辽金（Galerkin）法推出确定该双层梁体系自由振动频率的行列式，给出特征方程。

Determinant which determined to frequency of free vibrations of Double-Beam system on elastic foundation was developed Using Galerkin 's method and expression proper equation was given .

结合Rayleigh-Ritz能量近似法，推导出了求解加筋板总体屈曲载荷的通用特征方程；

A general eigen function was deduced for computing global buckling load combined with a Rayleigh-Ritz method .

对短波的情况，应力自由热绝缘和等温板中对称和斜对称模态波传播的特征方程退化为Rayleigh表面波频率方程。

At short wavelength limits , the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation .

由界面的准弹簧模型，本文导出了有各向同性固体附加层时半无限大各向同性均匀媒质中弱界面情况下的类Rayleigh波的特征方程。

Using the spring model for a weak interface between two solids , the characteristic equation for the Quasi-Rayleigh waves in an isotropic solid layered isotropic media with a weak interface is presented .

波导中的场采用半数阶Bessel函数展开并令其满足边界条件，从而获得截止频率的特征方程国。

The fields in the waveguides are expressed by cylindrical harmonic expansions in which Bessel functions with half orders are involved and the boundary conditions are imposed .

作者的主要贡献和创新如下：1.研究了一个带时延的神经元方程，分析相应的线性化方程的超越特征方程，得出系统的线性稳定性和出现Hopf分岔的条件。

A neuron equation with discrete time delay is studied . The conditions of equilibrium stability and Hopf bifurcation for this model are given by analyzing correspond transcendental characteristic equation .

当梯度指数为零时，这些特征方程或频率方程能退化为Euler-Bernoulli梁的经典形式。

These characteristic or frequency equations can analytically reduce to the classical forms of Euler-Bernoulli beams if the gradient index disappears .

文中利用Hamilton原理，采用Love薄壳简化假设，设位移为不受边界条件限制的多项式解，通过求解能量法的特征方程得到结构的自然频率。

From Hamilton 's principle , applying the Love 's simplification for thin shell , the displacements were assumed to be polynomial functions which are not limited by boundary conditions . The nature frequencies were calculated by solving proper characteristic equation .

特点是：①对于一n维潮流方程，计算其鞍型分叉点所需求解的是n＋1维特征方程，而不是常规求解方法中的2n+1维特征方程。

One factor is a new set of characteristic equations for the saddle - node bifurcation point which is of dimension n + 1 , instead of 2n + 1 , which is traditionally required in n - dimensional decoupled paramter - dependent power flow equations .