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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

In this algorithm, first, a crowed comparison operator is used to sort and select individuals according to the characteristics of multi-objective optimization. Then, a non-uniform mutation operator is applied to the observation populations to preserve the convergency of the solutions and to improve the precision of local search. Finally, a diversity-preserving operator is employed to delete the observation populations for the purpose of preserving the solution diversity.

首先,根据多目标优化特点,使用多目标密度比较算子对量子种群进行排序和筛选;然后,应用非均匀变异算子对观测种群进行变异以保持解的收敛性并提高局部搜索的能力;最后,使用多样性保持算子对观测种群进行删减以保持解的多样性。

Second, we prove that consensus value of continuous time-invariant systems converges globally asymptotically to the convex combination of initial states, thus, determining the consensus value of the non-balanced topology.

对于多智能体网络连续系统,该系统的一致平衡点最终收敛于初始状态的凸组合,本文最终确定了非平衡拓扑结构的一致平衡点。

Secondly, a rule of the choice of step-length is presented for a non-quadratic objective function of n variables, according to the rule we prove that the Gradient Method has local n-step quadratic convergence rate for a non-quadratic function under certain conditions.

其次,对于n个变量的非二次目标函数也提出了一个步长选取的准则,并在此准则下证明了当目标函数满足一定的条件时,梯度法具有局部n-步二阶收敛速度。

Uncertain singular systems are transformed into the form of restricted equivalence by a nonsingular linear transformation. By the method of Lyapunov function, a new terminal sliding mode control strategy based on the form of restricted equivalence is proposed for the first time, and the hypersurface of a special terminal sliding mode is given. A terminal sliding mode controller is designed correspondingly such that the motion of sliding mode can be guaranteed and the systems state variables can converge to the equilibrium point in a finite time.

通过非奇异线性变换把不确定奇异系统变换成受限等价形式,利用Lyapunov函数方法,首次提出了一种新的Terminal滑模控制策略,给出了特殊的Terminal滑模超曲面,设计了相应的滑模控制器,实现了滑模运动,保证了系统状态变量在有限时间内收敛到平衡点。

The algorithm is then used to solve the augmented system with global convergence and without any assumption of a prior knowledge of feasibility/infeasibility of LCP.

本文主要研究了几类互补问题的非内点光滑型算法,并在较弱的假设条件下,具体分析了所提算法的全局收敛性。

Fuzzy Choquet integral is defined for the given nonnegative measurable function on the general fuzzy measurable space. The fuzzy integral is wholly regarded as a set function on the general fuzzy measurable space. And its some elementary properties and convergence are discussed.

在一般模糊测度空间上,针对给定的非负可测函数定义了λ-模糊Choquet积分,并将这种模糊积分整体看作一般模糊测度空间上的集函数,进而讨论了这种模糊积分的一些基本性质和收敛性。

Mathematics exercise solution thought process displays in:Recognition and understanding, association and exploration, appraisal and choice, operation and realization, promotion and consummation; Its thought characteristics display as integrity, radiation and astringency, goal consciousness, disorderly and ordering, non-logical and logicalization characteristic.

数学习题的求解的思维过程表现在:认识与理解、联想与探索、评价与选择、操作与实现、推广与完善;其思维特征表现为整体性、发散与收敛性、目标意识、无序与有序化、非逻辑与逻辑化特征。

The I/O linearization method is applied to solve the mismatching problem of nonlinear perturbations in the system.

根据电堆温度机理模型,我们提出了变结构控制系统设计方案,快速平滑趋近律和快速收敛滑动模态被设计用来削弱抖振对系统的影响,并采用输入/输出线性化方法来解决系统中的摄动非匹配问题。

In this paper, we mainly study the convergences of a class of noncon-forming finite element with nine parameters in 3-dimension space under three kinds of subdivision.

本文的主要内容是讨论一类三维9参数非协调单元在三种不同剖分意义下的收敛性分析。

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My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

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