问题求解

The edge internal branch crack problems for half-plane in antiplane elasticity arc solved with complex potentials and singular integral equation approach.

利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。

A new non-conforming finite element FE eigenanalysis method is developed to determine the order and angular variation of singular stress states at material and geometric discontinuities in anisotropic materials subject to antiplane shear loading.

提出采用一种非协调元有限元特征法来计算各向异性材料在反平面剪切载荷作用下的奇性应力指数和奇性场角分布。该方法没有采用奇异变换技术。与以前的几种解析法比较，结果表明这种方法的收敛性好，精度高，可以求解关于复杂几何体问题

Solving antiplane response of triangular hill or structure to incident SH waves by using the idea of assistant functions and division, the standing-wave equation constructed in domain Ⅰ must satisfy the governing equation and the zero-stress condition on the wedges.

利用分区和辅助函数思想求解三角形凸起对SH波散射问题时，在区域Ⅰ中构造的驻波，它应该同时满足三角形斜边上应力自由和控制方程，只有这样，所得到的结果才能是正确的。

Robust aposteriori L〓 filtering to noise inputting matrix uncertainty system can be reduced to the solution of a linear matrix inequality too.

对噪声输入矩阵不确定性情况下的鲁棒L〓验后滤波，本文的解法也归结为一凸优化问题，可有效的求解。

Optimization technology is a technology based on mathematics and applied to all kinds of optimization solution to engineering problems.

优化技术是一种以数学为基础，用于求解各种工程问题优化解的应用技术。

The relationship between transient response and shape design variables is highly non-linear, and the behavior of feasible domains is often not good, which may cause convergence difficulties. In order to improve convergence speed of iteration process, some algorithms the feasible domains adjusting, the adaptive move limit, the approximate line search and the approximate reanalysis, are adopted.

采用基于Newmark积分的直接求导法计算瞬态响应灵敏度，在序列二次规划算法中采用了可行域调整、近似—维搜索、自适应运动极限等改进技术，提高求解效率和收敛稳定性，以解决结构动态响应与设计变量的关系复杂、高度非线性，优化可行区域的性态不良等问题。

In this dissertation, we discuss the decomposition and approximate solution of Stochastic Petri Nets.

本文讨论了随机Petri网的分解和近似求解问题。

To this kind of problem, we can only design different tactics to seek the approximate optimal solution as soon as possible.

对于此类问题，我们只能设计出不同的策略来尽可能快的求解出尽可能逼近最优解的结果。

This method is superior both in efficiency and accuracy to the existing approximate methods.

这种方法在求解问题的能力及算法的精度和效率等方面均具有优越性，可在其它工程结构中推广应用。

Finally, we obtain the solutions of the 0-1 Integer Programming problem. The most merit of the model is its automatization characteristic, and the model fits to solve arbitrary 0-1 Integer Programming problem having arbitrary variable element.

该模型的最大优点在于具有自动化的特点；同时，从理论上来讲，该模型适合含有任意变量的任意0-1整数规划问题的求解。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷