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Changsha 410083, China)Abstract: Based on the stability analysis for slope with polygon elements, the equilibrium of elements was evaluated by adapting fictitious force acting at boundary of element to calculate factor of safety, the behavior of the fictitious force was studied while the factor of slope safety changes,the procedure was discussed to obtain the factor of slope safety in an iterative way if the adopt fictitious force was vanished finally.

摘 要:基于边坡稳定性分析的任意条分方法,在单元静力平衡分析中引进作用在边界上的虚拟平衡力,满足边坡安全系数求解过程中单元静力平衡的要求。

The mathematical programming formulation and related solution procedure are established by the traditional BEM. Through the discretization of space and time, the elastoplastic stress simulation method and reduce-basis technique are adopted to construct the self-equilibrium stress field. The numbers of variables and constraint equations in the resulting mathematical programming formulation are reduced greatly and then the dimension obstacle of computation in 3-D limit and shakedown analysis is overcome.

采用常规边界元方法建立了三维结构极限与安定分析的数学规划格式,通过对时间和空间的离散化,并采用弹塑性模拟法构造自平衡应力场和引入减缩基技术,大大减少了所形成的数学规划格式中的未知变量和约束方程的数目,有效地克服了三维结构极限与安定分析中的维数障碍问题。

Furthermore, the filtrate flux on equilibrium can increase about 50%, comparing to that of unmodified PAN membrane.

上述结果表明,在聚合膜中引入具有负电性的基团对提高膜的抗污染性有显著效果。

Then, the article derives finite element analysis equilibrium equation and element rigidity matrix in use of nonlinear finite element method.

然后运用非线性有限单元法推导了空间铰接杆单元的刚度矩阵和平衡方程。

If there is a finite number of players and the action sets and the set of states are finite, then a stochastic game with a finite number of stages always has a Nash equilibrium.

如果随机博弈中参与者的数量有限并且每个博弈阶段可能的状态数量有限,那么一个具有有限博弈阶段的随机博弈一般都存在一个纳什均衡。

Every finite n-player non-cooperative game has a mixed Nash equilibrium.

每一个二人「零和博弈」(zero-sum game),都有一个「混合上策均衡」。

The equations of buckled equilibrium were derived based on the displacement field of the first order shear-deformation theory.

用一阶剪切变形理论的位移场推导出5个屈曲平衡方程。

By applying Bendixson-Dulac theroem, we show that the system admits no limit cycle in the first quadrant, thus the global stability of the interior equilibrium is followed.

首先通过运用Bendixson-Dulac定理证明了系统在第一象限没有极限环,从而证明了正平衡点的全局稳定性。

Diffusion problem of a predator-prey model with Holling typeⅡfunctional capturing function is studied. Stability condition is obtained when diffusion is absent, and the effect on stability of positive equilibrium is studied when diffusion is present. In the end, the problem of existence of limit cycle is proved in the first quadrant when diffusion is absent.

针对一类具有HollingⅡ型功能捕获函数的捕食-食饵模型的扩散问题进行了研究,得到了无扩散时正平衡点的稳定条件,以及扩散存在时对正平衡点稳定性产生的影响,最后证明了无扩散时系统在第一象限存在极限环的问题。

In section 6,we we prove the existence of generalized vector quasi-equilibrium problem by the generalized Fan-Browde fixed point theorem.

在第六节,通过推广Fan-Browder的不动点定理证明了一个广义向量拟均衡问题的存在性。

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