The approximate analytical solution is got by using perturbation method.
通过扰动方法求得问题的近似解析解。
Firstly, the approximate analytical solution of a local domain is derived.
首先求出了局部区域的近似解析解。
The paper gives an approximate analytical solution of this equation by direct method, and disc…
本方法曾进行了相当数量的计算，与试验数据比较，得到较满意的结果。
This article brings forward an approximate analytical solution to Reynolds equation for finite journal bearings.
本文给出有限长径向轴承雷诺方程的一种近似解。
The study of the approximate analytical methods on the roll shells temperature field in the continuous roll casting;
在分析铸轧辊套传热特征的基础上，对铸轧辊套温度场进行了数学描述。
The approximate analytical solution on the burning rate of droplet mass is also found on the basis of some simplified hyPotheses.
在一些简化假设的基础上，找到了液滴质量燃速的近似解析解。
An approximate analytical solution with comparative accuracy is helpful in investigating nonlinear rolling of ships and its stability.
具有一定精度的近似解析解有助于方便分析船舶非线性横摇运动及其稳定性。
The paper presents the approximate analytical methods for free vibration of tall buildings of frame, shear-wall and frame shear-wall structures.
本文研究框架、剪力墙及框架-剪力墙结构自由振动的近似计算方法。
It is concluded that the explicit anisotropic yield criterion for jointed rock masses which is obtained by approximate analytical method has high precision.
研究表明，提出的节理岩体各向异性显式屈服准则具有很高的精度。
With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived.
采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式。
The transformation of Gaussian beams is taken as an example, an approximate analytical propagation expression in terms of a sum of elementary functions is derived.
以高斯光束的变换为例，推导出了一个表示为初等函数之和的近似解析传输公式。
The excessive and tedious mathematical deduction involved in an approximate analytical methods for 1/3 subharmonic ferroresonance makes many technicians to shrink back.
研究1/3次分频铁磁谐振的近似解析方法常因涉及过多的繁琐数学推导而使众多技术人员望而生畏。
Approximate analytical solutions of wave function and energy of vortex in the cylindrical coordinates system are obtained for the near-ideal Bose gases at zero temperature.
在柱坐标系中，求出了绝对零度情况下近理想玻色气体涡旋态的波函数和能量的近似解析形式。
Using an approximate analytical method, the explicit expression of stress concentration factors is derived for an eccentric circular hole in a tension orthotropic finite-width strip.
用近似解析方法推导出拉伸正交各向异性有限宽板偏心圆孔的应力集中系数的显式表达式，除了比较极端的情况外，该式的精度较好。
In this paper, the sixth-order approximate analytical solutions of the strong nonlinear oscillation with positive damping are obtained by using newly developed homotopy analysis method.
阐述利用最新提出的同伦分析方法求解有正阻尼的强非线性振动方程，得到了该方程的六阶近似解析解。
The approximate analytical solution of the velocity distribution in the side gap of the counter-rotating twin screw extruder is obtained by means of the generalized Newtonian viscosity.
采用广义牛顿粘度公式，得到了振动力场作用下的异向双螺杆挤出机螺棱侧间隙内的速度分布近似解析解。
This paper presents two kinds of approximate analytical solution, non-resonance solution and resonance solution, of non-linear dynamic equation based on a type of ultra-low frequency vibrator.
给出了一类超低频标准振动台非线性运动方程的两种近似解析解——非共振解法和共振解法。
In this paper a short-cut design equation that applies to plate column for close-boiling fractionation is developed based on the approximate analytical solutions of Ning Hsing Chen's equations.
根据陈宁馨方程的近似解析解，导出了一个适用于精密精馏板式塔的简捷设计方程。
In this paper, an approximate analytical method is developed by which pitching derivatives are predicted for three dimensional wings with pointed leading edge in supersonic and hypersonic stream.
本文给出计算超声速和高超声速尖前缘三维机翼俯仰导数的一个近似解析方法。
A simple and approximate analytical method for calculations of compressible potential flows in arbitrary two-dimensional and axially symmetric slender nozzles is given using perturbation technique.
本文应用摄动法给出了一种简便的计算任意二元和轴对称细长喷管可压缩有势流动的近似解析方法。
Based on an approximate interpolation scheme, an analytical model for void closure in nonlinear plastic materials was established.
采用插值近似，建立了空洞闭合的解析模型，发现空洞变形的主要机理来自于空洞周围基体材料的塑性流动。
Analytical approximate solutions of the Duffing_Harmonic oscillator are dealt with.
研究达芬-谐波振子的解析逼近解。
Analytical approximate periods and periodic solutions to large amplitude oscillation of a simple pendulum are constructed using a new method.
构造了单摆大振幅振动的高精度解析逼近周期和周期解。
The perturbation method was employed to get the control equation's approximate solution. The analytical expressions of beam's natural lateral vibration frequency and displacement were derived.
采用摄动法求得了其近似解，得到了载流梁在磁场中的横向固有振动频率及位移解析表达式。
By combining the linearization of the governing equation with the method of harmonic balance, we have established analytical approximate formulas for the period and the periodic solution.
将控制方程的线性化与调和平衡法组合起来，建立周期及周期解的解析逼近公式。
The analytical approximate solution of the equation is been obtained and the calculated precision is improved simultaneously by using the Weighted Average Method.
采用加权平均法可以得到该方程的近似的解析解，同时提高了计算精度。
In this thesis, a new analytical approximate method is presented to solve large amplitude nonlinear oscillations of single degree of freedom non-natural conservative systems.
本文提出了一种新的解析逼近方法来求解一类非线性振动问题。
This paper introduces two analytical methods for computing the stress in Cribs of steel circular ring, one is approximate method the other is exact.
本文介绍两种钢围令环内力的计算方法即近似法和精确方法。
According to the boundary conditions of the curved slab, an analytical solution by trigonometric series and an approximate solution by method of finite strips have been given.
根据曲板的边界条件给出三角级数的解析解和有限条法的近似解。
According to the boundary conditions of the curved slab, an analytical solution by trigonometric series and an approximate solution by method of finite strips have been given.
根据曲板的边界条件给出三角级数的解析解和有限条法的近似解。
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