由迭代算法得到的直到六阶的摄动补充完整了远日的四个行星的理论。
Perturbations up to the sixth order obtained by an iterative method complete the theory of the four outer planets.
在第一部分，我们提出了用于构建把有关质量的摄动展开到三阶的方法。
In the first part, we develop the method used for the construction of the third order perturbations with respect to the masses.
将奇异摄动方法应用于一个二元精馏塔的模型降阶，得到了一个用于控制器设计的集结简化模型。
A singular perturbation method was applied to a model reduced order of a binary distillation column, and an aggregated model for designing a controller is deduced.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
提出了零阶摄动解的一个改进算法。
An improved algorithm for zeroth order perturbation solution is presented.
与一阶摄动随机有限元相比，二阶摄动随机有限元具有较高的计算精度。
Compared with first-order perturbation, second-order perturbation stochastic finite element has the advantage of higher accuracy.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
本文讨论一类二阶奇摄动非线性微分差分方程组的边值问题。
In this paper, We discuss a class of boundary Value problems of second order singular perturbed nonlinear differential difference systems.
为此，考虑到高阶模态的影响，提出了基于改进一阶摄动法的模态高精度展开法，算例表明，此方法能显著地改善摄动特征解的精度。
Taking higher frequency modes into account, an accurate expansion method based on the improved first-order perturbation is put forward, which can improve the precise of modes obviously.
将该问题的基本方程化为具有两个小参数的二阶非线性方程组，并在双参数摄动法和单参数多重尺度法的基础上提出了双参数多重尺度法。
The governing equations for the problem is modified into a second-order nonlinear differential system with two infinitesimal parameters and a double parameter multiple scale method is presented.
最后以全程制导为例，说明二阶摄动制导理论的应用。
Finally, an example on applying the second order perturbed guidance theory for all-way guidance is given.
采用小参数摄动法，导出了系统的一阶和二阶控制方程，边界条件，连续条件，平衡条件及相容条件。
Taking a proper asymptotic sequence and perturbation technique, the control equations, the continuity, equilibrium and compatibility conditions of the first order and second order are derived.
利用边界层函数法研究了一类非线性三阶微分方程的奇摄动边值问题。
Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.
该VSOP82方法是由考虑了所有行星质量的展开到三阶的摄动构成的。
The VSOP82 solution is made of the perturbations developed up to the third order of the masses for all the planets.
本文求得了空间飞行器在地球扁率摄动作用下简单形式的一阶解。
Simple form unretarted orbit of space vehicles under the first order perturbation of the oblateness of the earth is obtained in this paper.
笔者探讨了这一方法，考虑土性分布参数和荷载变异性，用二阶摄动随机有限元法进行了浅地基沉降的概率分析。
This study calculated the statistical moments of settlement for shallow foundation by using second-order perturbation stochastic finite element method.
结果表明二阶摄动结果对拱桥固有频率的影响可以忽略；
The results show that the effect of second-order perturbation results on the natural frequency of arch bridge can be ignored.
本文揭示了一类三阶半线性方程奇摄动边值问题解的“套层”现象。
In this paper the "cover layer" phenomenon of solution for a class of singularly perturbed boundary value problems of third order semilinear equation is revealed.
本文给出接近临界角吋，地球形状的全部一阶摄动和二阶长期摄动的计算方法。
This article gives the computing methods of all first order pertubations and second order secular pertubations about the oblate earth in the vicinity of critical inclination.
以曲率和挠率为小参数得到螺旋管道内幂律流体流动的二阶摄动解。
The second order perturbation solution for the flow of power-law fluid in stillness a helical pipe is obtained with curvature and torsion as small parameter.
本文基于二阶摄动技术研究叶片强度分析的随机有限元方法。
Based on the second-order perturbation technique, the stochastic finite element method (SFEM) of the strength analysis of the turbine blade is introduced in this paper.
研究了一类二阶非线性摄动微分方程解的振动性质。
This paper is concerned with oscillation property of solutions of a class of second-order nonlinear differential equation with perturbation.
本文通过对油膜压力进行二阶泰勒级数展开得到油膜摄动压力方程组，采用指数膜假定求解油膜摄动压力方程组，得到推力轴承油膜刚度和阻尼的解析表达式。
In this article, author derives oil film perturbed pressure equation through expanding pressure using a Taylor Series. With exponential film assumption, analytical expression of OFSD is also derived.
该相位信息需从频域分析得出。 本文应用摄动理论推导了到二阶的锚泊线张力响应函数。
The first and second order frequency response functions obtained were compared with the corresponding theoretical ones.
运用摄动方法，给出了速度势的四阶近似，然后得到了圆柱表面的无量纲的压力系数和阻力系数。
Using the perturbation method we have got the fourth order of approximation of the velocity potential to the problem.
本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。
In this paper, We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.
在第4章，同伦摄动的方法被成功应用到求解带有一个可动边条件的时间分数阶扩散方程并且得到了一个近似解。
In chapter 4, Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained.
利用小参数摄动法，建立了随机结构在随机激励下的二阶摄动随机势能泛函。
Based on the method of small parameters perturbation of 2nd order, the stochastic functional of potential energy for structures with stochastic stiffness under stochastic stimulus is derived.
利用小参数摄动法，建立了随机结构在随机激励下的二阶摄动随机势能泛函。
Based on the method of small parameters perturbation of 2nd order, the stochastic functional of potential energy for structures with stochastic stiffness under stochastic stimulus is derived.
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