查询词典 perturbation method

Homotopy perturbation method; MOL method; nonlinear partial differential equation; approximate solution

基础科学，数学，数学分析同伦摄动法；直线法；非线性偏微分方程；近似解

The new method is based on combining perturbation method of eigen-problems with rational approximation of a vector-value function.

提出了一种新的结合特征灵敏度直接法和向量值函数有理逼近的结构动力重分析方法。

The characteristic, difference and relation of the normal and inverse design are compared detailedly. The formula of the first and second class eigen sensitivity are given. For the horizotal vibration system of building structure, the sensitivity method and perturbation method are adopted to modify the dynamic characteristics. The inverse eigenvalue problem of Jacobi matrix and the positive, symmetry, band matrix are studied. The method of Evolutionany Computation is first used in the inverse design of building structure, the principal problems are studied. The features of aseismatic inverse design of building are analysed.

本文较详细地比较了正、逆设计的特点；给出了特征值和特征向量的一阶和二阶灵敏度分析公式；对于建筑结构水平振动系统，提出了结构动态特征的修改方法；对Jacobi矩阵及实对称带状矩阵的逆特征值问题进行了分析研究，首次将其引入建筑结构抗震逆设计中；首次将进化计算方法应用于建筑结构抗震逆设计中，对主要问题作了探讨；对建筑结构抗震逆设计的特点进行了分析，提出未来的发展方向和前景。

The calculating concrete example showed that the difference of results between perturbation method and Bessel function method are relatively.

实例计算证明，摄动法计算的结果与Bessel函数法计算的结果相差较小。

In this paper,using the improved L-P method and the interpolation perturbation method,the authors seek to solve a class of the damped strongly nonlinear free oscillation problems.

文摘：本文用插值摄动法及改进的L-P法相结合的方法求解了一类有阻尼的强非线性自由振动问题，得到了一级近似解。

The operator splitting/finite element method with unstructured triangular grids are used to solve the general gas lubrication equation and the perturbation method is adopted to analysis the stability of the coupling system of air film and slider.

论文的计算结果表明算子分裂法能有效克服高轴承数下数值解的振荡问题，可得到合理的气体压强分布和气浮力。

The interval parameter perturbation method and the interval parameter back analysis method are studied, and the interval parameter monotony back analysis method is presented.

研究了区间参数摄动法和区间参数优化反分析法，提出了区间参数单调性优化反分析法。

There are two kinds of method in common use. One is numerical method, and the another one is analytic approximation which is represented by perturbation method.

常见的方法有两种：一种是数值方法，二是以摄动法为代表的解析近似法。

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

This method not only combines the best features of balanced truncation and singular perturbational method, but also reduces the possibility of physical un-realization of the reduced model obtained from generalized singular perturbation method, according to a parameter chosen in the model-order reduction process.

新算法在广义平衡奇异摄动法降阶过程中引入一个实参数代替矩阵，不仅集成了平衡截断法和奇异摄动法的优点，而且减少了计算量，大大缓解了利用广义奇异摄动法得到的低阶系统可能面临的无法实现的问题。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。