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Based on the solution for incompressible materials, the asymptotic solution of the order up to ∈~2 is obtained.

第一种方法以学术界普遍接受的高玉臣与Rice等的不可压缩(ν=1/2)理想弹塑性扩展裂纹尖端场为基础,以ε=1/2-ν为小参数作摄动展开,得到了直到ε~2阶的渐近解。

An asymptotic series solution is constructed by the perturbation technique of deflection type for postbuckling behavior of the plates with four simply supported edges in biaxial compression.

基於Reissner剪切板理论和Karman型板的精化理论,导出了反对称斜交铺层剪切矩形板的广义Karman大挠度方程,并运用位移型摄动技术,构造出双向压缩四边简支矩形板的后屈曲渐近级数解。

Thus using the perturbation method the asymptotic expansions of solution for the original problem are obtained.

于是利用摄动方法得到了原问题解的渐近展开式。

Firstly, from Gauss' equations and relative motion equations, the relation of control impulse and relative motion was expressed as analysis formulas and simplified based on the near circular condition. By deeply analyzing the mechanism of impulses in each directions (radial, in-track and cross-track directions) effect on relative motion respectively, two maneuvers to establish formation flying are provided: one is to utilize the impulses in radial and cross-track directions, the other is to utilize the impulses in along-track and cross-track directions. Both of the two methods can establish satellite formation flying of any configuration. The method with impulses irradial and cross-track directions needs only 3 impulses, while the method with impulses in along-back and cross-track directions needs 4 impulses. Lastly, by an example of establishing a space-circle formation flying, two maneuvers were compared with each other in the amount of impulses and fuel consuming estimation.

首先由高斯型拉格朗日轨道摄动运动方程得到轨道坐标系中控制冲量与轨道根数偏差的关系,基于近圆轨道的条件简化并带入相对运动方程,得到控制冲量与相对运动的关系表达式;通过深入分析各个方向(径向、沿迹向与轨道面法向)的控制冲量对相对运动的影响,给出了分别用径向与轨道面法向控制冲量组合和沿迹向与轨道面法向控制冲量组合实现编队捕获的两种控制策略;最后给出了一个空间圆编队捕获实例,并从燃料消耗、施加冲量次数及捕获时间等角度对比研究了两种控制策略的特点。

Using Fourier series expansion,Laplace transform and state space technique,the exactand closed form TFM solutions of natural frequency and buckling loads of composite cylindricalshells under arbitrary boundary conditions and external disturbances are obtained.

基于线弹性小变形理论,利用Fourier级数展开、Laplace变换和摄动方法,建立了各向同性材料和复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换,将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题;然后通过对性能指标的扩展,利用min-max方法,得到了鲁棒滚动时域控制律,并给出了其存在和使闭环系统渐近稳定的充分条件,并将结果扩展到对定常系统时域无穷的的情况,指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

He existence and stability of the nontrivial and nonnegative steady-state solution of an ecological predator-prey system with the reaction-diffusion term are discussed.

应用渐近展开的方法构造生物学里提出的一类具有反应扩散项的捕食者─食饵系统的非平凡非负定态解,并应用固有值的解析摄动理论对所获得的非平凡非负定态解进行了稳定性分析。

There has been considerable research in the field of stereo vision, and most stereo vision algorithms have been developed on the basis of regular lens camera model. However, such algorithms are unable to be used in the field where the clearance between the object and lens is minimal.

目前的双目或多目立体视觉方法基本上是在常规镜头摄象机成像模型的基础上发展起来的,但这些方法无法直接用于近距离大视场立体视觉感知的应用场合。

By using perturbation theory, the asymptotic expressions of periodic solutions are obtained and compared with the numerical results.

研究了一类慢变参数振子系统,通过摄动方法得到其对称周期解的渐近展开式,并与数值解进行了比较。

In Chapter 2, the introduction of the dynamical models is presented, furthermore, on the basis of analyzing perturbation factors there are two dynamical models fit for the motion situation of the NEAs, which are imported as the restricted authentic particle model and the restricted mean particle model (with respect to the treatment of the orbits of the perturbing major planets) that the Post-Newtonian effect is also taken into account, while for the latter the influence of the 5/2 (or 2/5) resonant items of the interaction between the Jupiter and the Saturn is considered.

第二章是关于力学模型的介绍,在分析摄动因素的基础上,引入了近地小行星运动中比较合适两种力学模型,即限制性质点真实模型与限制性质点平均模型(这一平均指的是对摄动源大行星轨道的处理),在两种模型中均考虑了后牛顿效应,另外在平均模型中还考虑了木星与土星之间的5/2(2/5)共振项的影响。

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推荐网络例句

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品,年生产总值3000万美元,产品价廉物美、选料上乘、质量保证,深受国内外客户的青睐

The eˉtiology of hemospermia is complicate,but almost of hemospermia are benign.

血精的原因很,以良性病变为主。