首先求出了局部区域的近似解析解。
Firstly, the approximate analytical solution of a local domain is derived.
通过扰动方法求得问题的近似解析解。
The approximate analytical solution is got by using perturbation method.
解析解的检验表明，该方法是收敛的。
采用自相似函数的方法可以获得解析解。
The analytical solutions are obtained by the methods of self-similar functions.
采用自相似函数的方法可以获得解析解。
Analytical solutions are obtained by the methods of self-similar functions.
得到了阻尼力和阻尼系数的简化解析解。
Simplified analysis solutions are obtained for damping force and damping coefficient.
采用自相似函数的方法可以获得解析解。
Analytical solutions are attained by the methods of self-similar functions.
并用解析解和实验数据对模型进行了验证。
通过与解析解对比，验证了该方法的有效性。
The validity of the method presented is verified by comparison with analytic solutions.
最后运用虚功原理给出了胀形平均液压的解析解。
In the end, the average hydraulic pressure of bulging is given by the principle of virtual work.
通过自相似函数的方法可以获得若干问题的解析解。
The analytical solutions of some problems can be obtained with the method of self-similar functions.
采用自相似函数的方法可以获得解析解的一般表达式。
The general expressions of analytical solutions are obtained by the methods of self-similar functions.
数值结果同解析解进行了对比，表明了本方法的有效性。
Comparison of numeric results with analytic solution showed the effectiveness of the method.
导出精确求解磁耦合器扭矩的解析解，结果与实验解相符。
It derived the torque formulary of the coupling by analyzing and conformed by experiment.
应用一般解析解来求解具有中间支承矩形板的自由振动问题。
A general analytical solution is used to solve vibration problems of rectangular plates with intermediate support, here.
经与弹性力学解析解对比，验证了该程序计算结果是合理的。
The program is validated by comparing its simulation results and the result of elasticity mechanics.
因而，该解析解可在工程上计算圆管辊拔拔制力时推广应用。
So the solution can be used to calculation of drawing force during draw-out by idle rolls.
对于考虑介质与结构弹塑性性质的课题，解析解更难以求得。
The problem becomes more sophisticated when elastoplastic properties of rock mass and structures are considered.
通过相同条件下该解析解与实验结果比较表明，两者吻合较好。
The comparison shows good agreement between the ironing loads of the experiment and calculation.
从对径受压圆盘和圆环的计算表明，其结果能较好地符合解析解。
Thus calculated results are in good coincidence with analytical solution for circle disk and ring in compression.
利用参变量最小势能原理，求出了散体材料桩扩张问题的解析解。
By the parametric potential energy variational principle, the analytic solution of expansion problem of granular material pile is obtained.
在不使用循环边界条件情况下，求解出一维原子链的振动解析解。
We get the lattice wave solution of monatomic chain under the free boundary condition.
本文导出了惯性制导工程中广泛应用的摄动方程转移矩阵的解析解。
The transition matrix analytic solution of perturbation equations which was widely used in inertial guidance engineering are derived.
将此格式运用于求解矩形等深海湾的潮波，得到与解析解一致的结果；
The solution with this scheme for the tide in a uniform rectangular gulf is obtained and is consistent with the analytical solution.
他们的解析解法对我们寻求标量场方程的解析解有着重要的启发意义。
This method is helpful for us to find the way of the analytic solution of scalar field equation.
由非均匀材料解导出均匀材料的结果，这些结果与已知解析解相一致。
The results by deteriorating solutions of nonhomogeneous materials into those of homogeneous materials are identical with those results known.
为了快速准确地测定低渗透岩石的渗透系数，推导了各种渗透实验的解析解。
In order to determine the low permeability of rocks both rapidly and reliably in laboratory, the rigorous analytical solutions for various kinds of laboratory permeability tests are derived.
为了快速准确地测定低渗透岩石的渗透系数，推导了各种渗透实验的解析解。
In order to determine the low permeability of rocks both rapidly and reliably in laboratory, the rigorous analytical solutions for various kinds of laboratory permeability tests are derived.
应用推荐