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Marc this paper carried out a finite element numerical simulation on the forming process of cold extruding for the starlike sleeve of constant speed cardan joint of car. The interrelated technological problems of numerical simulation were discussed in detail, the variation curve of extruding force during the course of loading, the cloud chart, which varies along with time, of temperature field distribution of workpiece, the equivalent plastic strain cloud chart of workpiece and the stress distribution cloud chart of diem inner ring were obtained thus explained fairly nice the reason of fatigue damage of dies.

Marc对轿车等速万向节星形套冷挤压成型过程进行了有限元数值模拟，详细讨论了有关数值模拟技术问题，得出了挤压力在加载过程中的变化曲线、工件随时间变化的温度场分布云图、工件等效塑性应变云图及模具内圈的应力分布云图，较好地解释了模具疲劳破坏的原因。

Firstly establishing mechanical model of casing structure , and then processing casing forces analysis using space finite-element method and superposition method(put structure stress and outer force stress together), it computes the stress of casing in three dimensions, and gets the internal force and transmutation. The structure of casing-coadjutor is computed overlaply and the question of contact is solved. In the aspect of design, it provides the mixed integer-discrete variable optimization method of casing cross section size and coadjutor layout.

本文就上述两个问题的最优化设计展开研究，首先建立了套管结构的力学模型，进行套管的受力分析，用了空间有限元法和叠加法(结构应力和外载应力相叠加)，对套管进行三维计算，确定结构的内力和变形，对套管—扶正器结构进行整体的叠代计算，解决接触问题；在设计方面，提出了解决套管截面尺寸参数和扶正器布局的混合整数—离散变量优化方法。

Corollary 2.6. Let C be a coalgebra of finite dimension . Then T is a coFrobenius coalgebra .

推论2.6。设C是有限维余代数，则T是一个coFrobenius余代数。

We give some examples of BiFrobenius algebras based on the extensions of algebras and coalgebras . Let H be a bialgebra of finite dimension . Then T= H⊕H* has an algebra structure and a coalgebra structure also . We discuss the properties of T , and get the necessary and sufficient condition for T to be a BiFrobenius algebra .

然后根据代数余代数的平凡扩张给出一类BiFrobenius代数的例子，设H是有限维双代数， T= H⊕H*既有代数结构也有余代数结构，研究T的性质，给出了T成为BiFrobenius代数的充要条件，即定理3.9。

The model is applied to numerically analyze the wave field and the coastwise current formed by the breaking of oblique incident wave in the Leadbetter Beach, Santa Barbara, California, USA. In the analysis the Crank-Nicolson scheme is adopted to solve the parabolic mild slope equation and the ADI finite difference scheme is applied to solve the model of wave induced coastwise current.

运用该近岸流方程，对美国Santa Barbara Leadbetter海岸波浪斜向入射所产生的波浪场及波浪破碎所形成的沿岸流进了数值模拟，其中抛物型缓坡模型采用Crank-Nicolson格式进行数值离散，近岸流方程采用ADI差分格式离散。

The dynamic properties of the tower of Runyang Yangtze River Nancha Suspension Bridge were studied before and after installing coble by finite element method and the modal experiment analysis based on environmental stimulation.

通过有限元分析和基于环境激励的模态试验分析，研究了润扬长江公路大桥南汉悬索桥挂缆前后桥塔的动态特性。

In infinite dimensional RDS, different to finite case, the cocycle can be usually considered only in the positive half-time line.

无穷维的随机动力系(来源：ABd454C论文网www.abclunwen.com)统和有限维的相比，其中的cocycle往往只能定义在正半时间轴上，为此我们首先对无穷维半动力系统进行了负向延拓，使得在负半时间轴上也有定义。

In this chapter, under the penalty functional satisfies the local Lipschitz condition, by using the Ekeland's variational principle and the properties of finite codimension, the Pontryagin's maximum principle of corresponding optimal control problem whose control variable is the harvesting rate and the input rate respectively is obtained.

本章在性能指标泛函满足局部Lipschitz条件下，利用Ekeland变分原理和有限余维的性质，证明了控制变量分别为收获率和输入率的相应控制问题的Pontryagin极大值原理。

One possible solution to this problem is to reduce the polynomial order which may yield a finite number of coe?

一个可能的解决办法这个问题是要减少多项式秩序可能会产生一个有限的数目居权证？

The differential coefficient of the dimension function indispensable to finite element equations and the Daubechies-Galerkin coefficient are given.

并详细推导出在有限元方程中所需的尺度函数的导数和Daubechies-Galerkin有限元方程系数。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。