特征方程

Thus, we get the eigenfunctions and eigenvalues of a class of the singularly perturbed eigenvalue problem with the turning point.

本文研究一类具有转向点的二阶方程在大特征值的情形下的奇摄动特征函数和特征值问题。

Chapter 2 is started from the basic theory of elastodynamics, the zero and the first order reflection and transmission coefficients of rough interface are derived in theory, and some numerical examples are given. Also dispersion characters of diffraction waves are discussed in the case of micro-rough interface in deep layers.

第二章从弹性动力学的基本理论出发，通过求解波动方程的定解问题，从理论上导出了地震波在粗糙界面上的零阶和一阶反射透射系数，并给出了数值算例；该章还讨论了深层微粗糙界面的绕射波的频散特征。

Based on a nonclassical theory of plasticity and the continuum damage mechanics,a damage constitutive equation is obtained for the ferrite phase with the damage evolution law for mixed hardening materials from an ellipsoidal void model under particular coordinates,where the void shape variation is considered.

基于非经典塑性理论和连续介质损伤力学，利用在一个特殊坐标系下基于椭球形孔洞模型得到的可考虑孔洞形状变化混合强化材料的损伤演化率得到了铁素体相的损伤本构方程，通过混合物理论利用铁素体和渗碳体相各自本构关系并考虑其几何特征得到了珠光体团的损伤本构模型。

Factor analysis and structure equitation model were used here.

在文献分析的基础上，基于消费者感知的角度，从界面设计、网站内容、技术支持、有用性、易用性和网站效应等六个方面提出了电子商务网站用户的感知因素对其满意度和行为的影响的假设，构建了研究模型，根据研究变量制定了问卷并搜集到180份有效问卷，分析了样本的特征，利用SPSS对模型量表进行了信度分析和因子分析，并采用结构方程模型软件LISREL进行了实证分析。

The wavelet function is very suitable for solving the boundary value problem of ODE,not only for it characteristic of finite basis function,but has advantage of frequency method.

由于小波函数既有有限元基函数的特征，又有频域方法的优点，加之对高频信号的聚焦能力，非常适合求解微分方程边值问题。

Studied present measuring methods" advantages and disadvantages, and presented the necessity and importance of researching propellant transient heat transfer.2.according to 130 and aeronautic 90 rocket projectiles" structure, analysed and acquired physical and mathematical models for propellant transient heat transfer, also designed propellant temperature field simulation units for test.3.acquired discrete transient heat balance equation and temperature calculation program, and gave contrasting curves between experimental temperature values and program calculating temperature values as well as maximum errors and average square root errors between them.4.by programs based on the first class boundary condition, worked out temperature distribution in propellant temperature field simulation units at different time, analysed temperature field distribution law and main elements affecting heat transfer, acquired propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.5.established transient heat transfer mathematical model and temperature calculation program for the third class boundary condition, drew contrasting curves between temperature experimental values and calculation values and gave maximum errors and average square root errors between them, got temperature distribution in the simulation unit at different time and main elements affecting heat conduction, figured out propellant mass weighted average temperature and one at the half position of propellant maximum thickness as well as maximum errors and average square root errors between them.

分析了现有测试方法的优缺点，提出了研究推进剂瞬态导热的必要性和重要性。 2。根据130和航90两种火箭弹的结构，分析得到了推进剂传热的物理模型和数学模型，设计了推进剂温度场模拟实验装置。 3。得到了离散形式的瞬态热平衡方程和温度场计算程序，给出了实验温度与程序计算温度值的对比曲线及其最大偏差与均方差。 4。利用程序求出了第一类边界条件下、不同时刻推进剂温度场模拟装置中的温度分布，分析了温度场的分布规律和影响传热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处的温度时间曲线并给出了两者之间的最大偏差与均方差。 5。建立了第三类边界条件下的瞬态导热数学模型和温度计算程序，求出了温度实测值与计算值的对比曲线并给出了两者之间的最大偏差与均方差，得到了不同时刻温度场模拟装置的温度分布与影响导热的主要因素，求出了推进剂质量加权平均温度和最大肉厚1／2处温度及两者之间的最大偏差与均方差，讨论并确定了能代表130和航90推进剂温度的特征点的位置。

The blades are modeled as cantilever beams fixed on the disk. The equations of motion of the system are derived. The eigenvectors are obtained by solving the eigenvalues of the system and the localized modes of vibration in mistuned systems are further gotten.

采用固定在轮盘上的悬臂梁模型来模拟叶片，推导了结构系统的运动方程表达式，求解特征值问题获得了结构系统的特征向量，进而得到了失谐结构的局部化的振动模态。

The laminar flamelet model in combination with joint probability density function transport equation of mixture fraction and turbulence frequency is used to simulate fluctuating behavior of radiative source term in turbulent jet diffusion flames of hydrogen.

采用κ-ε湍流模型、标量联合的概率密度函数输运方程和层流火焰面模型相结合，模拟氢气自由扩散火焰中辐射源项湍流脉动特征。给出了主燃区内辐射源项湍流脉动的频率图。辐射源项的样本点分布集中，大约95%以上的样本落在其系综的±3倍方差以内，频谱图为单峰

The fuzzy and stochastic features a moored floating body system are described in order to deduce its fuzzy motion equations.

对系泊浮体系统的模糊随机性特征进行描述，并推导其模糊运动方程。

Through establishing the functional of the source pulse which is based on the concept of "usable energy" in the received pulse and then extremizing the functional by means of the calculus of variations, the mathematical models of the optimized source pulse waveforms are shown to be associated with the eigenfunctions of a homogeneous Fredholm linear integral equation of the second kind. An efficient algorithm is developed for numerically solving the integral equation models.

论文研究了基于延迟反射脉冲序列无源标签的UWB RFID系统的基本工作原理并进行了详细的信号描述和分析，通过建立基于接收脉冲"有效能量"概念的源脉冲波形函数的泛函和使用变分计算泛函极值，得到了相关于第二类齐次Fredholm线性积分方程特征函数的源脉冲波形最优解数学公式模型，并开发了一套有效的数值求解算法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失