这四个分离变量的相互关系有点像带有柔性接头的四边形框架。
The interrelationships of these four separate variables are somewhat similar to a four-sided frame with flexible joints.
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.
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.
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.
讨论了一类具有有界可变时滞分离变量系统平衡点的全局指数稳定性。
The global exponential stability of equilibrium states of a class of nonlinear separated variables systems with bounded time-varying delays was investigated.
讨论了一类具有有界可变时滞分离变量系统平衡点的全局指数稳定性。
The stabilization problem for a class of nonlinear continuous control systems with separated variables is investigated.
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.
从可分离变量微分方程出发，介绍了几类如何用变量代换求解的常微分方程。
Beginning from the ordinary differential equations of separable variables, several ordinary differential equations of how to apply variable substitution to seek solution were generalized.
若给定分离变量形式的初值函数，则初值问题的精确解也是分离变量形式的。
If the initial value function of an initial value problem is in the form of separated variables, then its exact solution is also in the form of separated variables.
对于哈密顿体系的偏微分方程分离变量，导致哈密顿型微分方程及本征值问题。
Separation of variable method is applied to Hamilton system, which derives to the eigenproblem of Hamilton differential equations.
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.
据此利用渐近展开和分离变量相结合的方法对裂尖奇异性指数的变化进行了分析。
With the method of asymptotic and variable separation, the stress singularity near the conic-shaped crack tip at a bi-material interface is fulfilled.
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.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
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.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
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.
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.
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.
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.
阶梯梁静力和动力问题的传统解法是分离变量后分阶梯写出常微分方程并分别求解，不胜其烦。
The traditional solvent of static and dynamic problems for stepped prismatic beams is to set up ordinary differential equation in each step and answer it respectively.
基于分离变量方法，建立了绕射势的级数解，导出了作用于大直径桩柱上的绕射力的计算公式。
A formal potential solution for the diffraction problem was established, and the computational formulation for the corresponding diffraction force was given.
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.
通过变量变换，分离变量等数学手段，将二维数值模型转化为一维数值模型，得出了公式简单实用，物理意义明确的解析解。
Through mathematic means of variant separation and transformation, 2d numerical model was changed into 1d numerical model and acquire the single analytic solution of the equation.
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.
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.
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.
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