应用分离变量法，建立并求解了两个常微分支配方程。
The method of variable separation is applied and two ordinary differential governing equations are established and solved.
使用新型的加乘混合分离变量法，可以解决原有方法解决不了的问题。
Using mixed addition and multiplication variable separation method can solve problems which can't be solved by primary methods.
用分离变量法研究了新(2 +1)维非线性演化方程的相干孤子结构。
The variable separation approach is used to obtain coherent soliton structures of a new (2 + 1) dimensional evolution equation.
然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.
当边界条件有间断时，在应用分离变量法过程中如何适当处理问题是值得注意的。
When boundary conditions exists jump discontinuity, how to treat by an appropriate way is important in process to make use of the separation of variable.
利用分离变量法和二重傅里叶级数的方法，得到了矩形膜的受迫振动初边值问题的解。
By using separation of variables and double Fourier series, we obtain a solution to the initial-boundary value problem of the forced vibration of this rectangular membrane.
写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。
The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.
在复数域内利用分离变量法，得到了这类方程的级数形式的解析解，而最后的解是实数形式。
By using variables separation in the complex number field, the real analytical solution in the form of Fourier series was obtained.
首先，导出了用极坐标系描述的中厚板自由振动板的微分方程，用分离变量法求得其一般解。
Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.
运用不完全分离变量法的理论计算爆炸地震波在半空间内传播，得到地表质点响应的运动场。
The propagation of explosive seismic wave in half-space is calculated by applying incomplete separation variable method, so the movement fields of response of ground particles are received.
以位移模型为基础，用有限元中的分离变量法的理论，求解了圆柱壳自由振动的固有频率，计算结果与壳体解析解相一致。
This paper calculate inherent frequency of the free vibration of the cylinder shell with the theory of the separated variable method on the basis of displacement model.
文中介绍了扇面直波导及其腔体中电矢量位和磁矢量位的格林函数，采用分离变量法、傅里叶变换法和留数定理导出了格林函数的具体表达式。
The Green's functions for electric and magnetic vector potentials in a sectoral wave guide and its cavity are derivated by using the separation of variables, Fourier transform and residue theory.
在两端简支的边界条件下采用分离变量法求解偏微分方程，得到用级数表示的应力解，然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
Separation of variables is employed to solve the differential equation under the boundary condition of two ends of the girder being simply supported, and the solution of stress is…
在两端简支的边界条件下采用分离变量法求解偏微分方程 ，得到用级数表示的应力解 ，然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
On the basis of mathematical statistic, using the method of multiple regression analysis, the practical calculating formula of the shear lag coefficient in thin-walled curved box girders is derived.
在第二章中我们主要利用群分支法来求解非线性扩散方程(2.4)的分离变量解。
In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.
利用变量分离法推导出桥模式RFMEMS开关的频率方程组。
The frequency equation of RF MEMS switches was derived by separation of variable.
在两对边简支条件下用分离变量函数法给出扁柱面网壳的横向位移。
By using the method of the separating variable function, the transverse displacement of the shallow cylindrical reticulated shells were given under the conditions of two edges simple support.
为了对直埋管道保温层及其土壤邻域的温度场进行较精确的分析，采用保形映射、分离变量和边界离散法对地下直埋管道的温度场进行分析，得到了级数形式的解。
The temperature field around a straight buried pipe was analyzed using conformal mapping, separation of variables and boundary discretization. A series solution was obtained for the temperature field.
通过采用线性加权法、分离部分控制变量法，以及在一定范围内穷举，将问题简化，进而给出模型的求解方法。
We simplify the problems by using the linear weighted method, separate technique of partial control variables, and enumerating in certain range, then give out the solving plan of the model.
提出了一种渐进优化方法，通过分离设计变量，分别采用渐进节点移动法和满应力法优化桁架结构的形状和尺寸。
In this paper, an evolutionary optimization method is proposed to minimaze the weight of truss structure in terms of nodal coordinates and element cross sectional areas.
提出了一种渐进优化方法，通过分离设计变量，分别采用渐进节点移动法和满应力法优化桁架结构的形状和尺寸。
In this paper, an evolutionary optimization method is proposed to minimaze the weight of truss structure in terms of nodal coordinates and element cross sectional areas.
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