查询词典 differential method

In recent years, the extensive application of the fractional differential equation in many modern scientific technique realms makes the research of its numerical method in and abroad prospers.

近年来，分数阶微分方程问题在现代科学技术领域获得了日益广泛的应用。由于其勿庸置疑的重要性，国内外对于分数阶微分方程问题数值方法的研究正在蓬勃兴起。

In this dissertation, two methods were adopted to build dynamics model for vehicle ride comfort analysis: one is eight freedom vehicle ride comfort differential equation model in which lateral movement of driver and vehicle body was considered. Combined with time domain model of random road input, we got the driver and vehicle's moving displacement. The other method, we built a Forland truck virtual prototyping using ADAMS, it is a 3D machine model, totally with 596 freedom degrees, every factor that influences the vehicle ride comfort was considered, finally complete the time domain simulation on random road input.

本文采用两种方法建立了车辆平顺性分析的动力学模型：8自由度车辆平顺性分析的微分方程模型，考虑了驾驶员和车体的侧倾，结合随机路面激励的时域模型，在B级路面输入条件下，进行了时域仿真求解，得到车辆和驾驶员在汽车坐标系中各个方位上随时间历程的运动位移；利用ADAMS软件建立的福田小卡汽车，共计596个自由度的三维实体整车虚拟汽车模型，全面地考虑了影响平顺性的各种因素，然后通过对路面功率谱的变换生成适合于ADAMS/Tire的路面文件，实现了整车虚拟样机在随机输入激励下，车辆振动模型的时域仿真求解。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

The Paper mainly studies forecast of a kind of time sequence which is made by using fuzzy approximation and Functional differential Equation, gives several theorems which explicate fuzzy and optimal approximation and relation between them by using the forecasting method.

主要对以模糊逼近和泛函微分方程进行时间序列预测问题作进一步的理论研究，给出了几个有关使用该预测方法时，模糊逼近与最佳逼近及其关系的定理，证明了逼近方面及预测方面的一些有意义的结果。

The linearized partial differential equation of motion is derived based on Euler-Bernoulli beam theory, and reduced to a set of coupled Hill's equations by using Galerkin's method.

首先根据欧拉梁理论建立偏微分运动方程，利用迦辽金法转化偏微分方程为周期变系数常微分方程。

The Galerkin method is used to transfer the partial differential equations to variation dynamic systems.

用Galerkin方法把偏微分方程转化为变分动力系统。

Sine in conjunction with the principle of using the gauge block according to the composition of the standard sine angle to the horizontal comparison method by differential measurement of the workpiece angles and inside and outside the cone of a precision measuring instruments.

正弦规是配合使用量块按正弦原理组成标准角，用以在水平方向按微差比较方式测量工件角度和内、外锥体的一种精密量仪。

In Chapter 6,by changing Gauss elimination method of solving linear algebraicequations in software package based on MPROWs and PEROWs into the elimination byband matrix and the elimination by varied bandwidth,we obtained the solver of ordinarydifferential equations,which is suited to solve the partial differential equations by themethod of lines.

在第六章，我们将基于MPROWs及PEROWs的软件包中求解线性方程组的通常的高斯消去法修改为带状矩阵消元法及变带宽消元法，从而获得适合于用线方法求解偏微分方程的常微分方程求解器。

MATLAB程序-used method for multiple preoperational Ertaila equation here as a variable element of the equation, As the same time contain differential equations and integral, the general solution is definitely difficult.

用LAPLACE方法求解多维沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。

In the relative coordinate method, the array of the generalized coordinates of the system is formed by the relative coordinates of all rigid bodies. The principle of virtual power and Newton-Euler equations are applied to the system, and arrive at a set of second order differential equations of the generalized coordinates.

在相对坐标法中，系统的广义坐标列阵由系统中各刚体的相对坐标组成，对系统应用牛顿-欧拉方程和虚功率原理，得到系统广义坐标的二阶微分方程组。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。