The analytic solutions of the stress intensity factors at the crack tip are obtained.
分别求得了裂纹尖端应力强度因子的解析解。
The validity of the method presented is verified by comparison with analytic solutions.
通过与解析解对比，验证了该方法的有效性。
The examples show that the results of BEM are consistent with the analytic solutions and t…
最后对算例进行了计算，所得结果与相应的解析解和有限元相符甚好。
The solution we obtained presents generality, because it contains some exact analytic solutions that are given in other papers.
这些解更具有一般性，它包含着已有文献给出的精确解析解。
By constructing a convergent power series solution of an auxiliary equation, analytic solutions for the original equation are obtained.
讨论了一阶迭代微分方程解析解的存在性，通过构造一个辅助方程的幂级数解给出该方程的解析解。
The method has universal meaning for a great number of structure optimization problems for which analytic solutions could not be found.
这种方法对实际应用中大量存在而又无法得到解析式的结构优化问题有着普遍的意义。
Two computational cases that have analytic solutions are employed for studying the adaptive grid technique based on the variational principle.
利用两个具有解析解的算例研究基于变分原理的自适应网格技术。
DB2 Alphablox is a premier application development platform for rapidly building and broadly deploying custom analytic solutions across the enterprise.
DB 2Alphablox是用于在企业中快速构建和广泛部署自定义分析解决方案的主要应用程序开发平台。
Analytic solutions for the threshold pump power, the output power, the slope efficiency and optimum erbium-doped fiber length of EDFL are obtained.
获得了激光器的阈值泵浦功率、输出功率。斜率效率以及最佳掺铒光纤长度的解析解。
In this chapter, existence of analytic solutions of an iterative differential equation with state-dependent delays is studied by using a similar method.
本章同样使用优级数法讨论一类带时滞的迭代微分方程解析解的存在性。
The analytic solutions and numerical solutions of the equations of magnetic surface with fixed-boundary conditions are solved for the equilibrium plasma.
本文解出了具有固定边界的平衡等离子体磁面方程的解析解和数值解。
Based on the idea of balancing-act method and the computerized symbolic computation, some exact analytic solutions of the CDGSK equation have been obtained.
利用均衡作用法，借助于计算机符号运算，求出了该方程的精确解析解。
Approximate analytic solutions of cur-rent and magnetic field distribution and the critical current are obtained when the radius of the junction is very small.
在结半径比较小的情形给出电流密度分布、磁场强度分布以及临界电流值的近似解析公式。
Moreover, we investigate the existence of analytic solutions for polynomial-like iterative equations with variable coefficients and improve some known results.
同时也研究了变系数多项式型迭代函数方程解析解的存在性，其结果改进和推广了作者本人以前的工作。
It separately discusses the analytic solutions about planar and three-dimension, so we can calculate the stability open cast side-slopes using analytic solutions.
对露天矿边坡分二维和三维分别讨论了它们的动力问题解析解，说明了能利用解析解来比较精确地计算露天矿边坡的稳定性。
The half-space analytic solutions of the electric field of an infinite horizontalcylinder are acquired solving the Laplace equation in the double-polarcoordinates.
解双极坐标下拉氏方程得出半空间中无限长水平圆柱体电场问题的解析解。
The general analytic solutions satisfy the boundary conditions and the conditions at the corner points. The unsolved coefficients are worked out by the sine series method.
将一般解析解代入边界条件，用正弦数加角点条件的方法确定待求系数。
Analytic solutions of temperature and stress distributions in condition of CW and pulse pumping are given. We have analyzed and discussed the thermal distortion in the slab.
给出了板状介质在重复率泵浦和连续泵浦情况下的温度分布和应力状态的解析解，对板的热效应进行了分析与讨论。
The analytic solutions of the probability density of the steady state responses of Coulomb sliding systems with gradually strong springs to Gaussian white noise are derived.
利用等效线性化方法推导了具有渐硬非线性复位弹簧的滑动系统的高斯白噪声激励稳态随机响应概率分布的解析解。
General analytic solutions for transverse bending of anisotropic rectangular plate using first order shear deformation theory is obtained at the first time by the complex series method (CSM).
采用复级数方法首次建立了基于一阶剪切变形理论的各向异性矩形板横向弯曲一般解析解。
Kinetic model of piecewise-linear nonlinear suspension system is established, the analytic solutions of suspension system with dominant and assistant springs are derived by means of KB Method.
以研究主、副簧组成的悬架系统出发，建立了分段线性非线性悬架系统的动力学模型，运用KB方法求出了此类系统运动的解析解。
However, accurate analytic diffusion wave solutions are difficult to obtain due to the strong nonlinearity of the radiation diffusion equation.
但是由于辐射热传导方程具有很强的非线性，其精确的解析解很难求出。
Meanwhile, the solutions to the problem and solvability conditions are obtained, and we extend the solution space from analytic function space into the meromorphic function space.
同时，给出了其解的表达式和可解条件，并将原来求解空间从解析函数空间推广到亚纯函数空间。
A solution of elastic wave equation: is studied in this paper. An analytic expression of solutions of the initial boundary value-problems is given.
本文对弹性波动方程的解进行了探讨，给出了初边值内题解的解析表达式。
According to the general condition of analytic chemistry in teachers school, this paper raises several problems and solutions to which attention must be paid in teaching.
文章根据师专分析化学的一般状况提出了在教学中应注意的问题和解决办法。
Analysis of main factors, which influence the safety of oil depot, by means of improved analytic hierarchy process will facilitate our discovery of main problems and timely presentation of solutions.
用改进的层次分析法分析对油库安全影响的主要因素，及时发现问题解决问题。
Analysis of main factors, which influence the safety of oil depot, by means of improved analytic hierarchy process will facilitate our discovery of main problems and timely presentation of solutions.
用改进的层次分析法分析对油库安全影响的主要因素，及时发现问题解决问题。
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