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Compared with the existing finite element eigenanalysis method[8]for asymptotic fields near the crack tip, current method has the following several characteristics: The jump-off that educes the virtue work formula is different; when solving the characteristic formula with FEM, the form of the element is non-confirming element; the singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip.

该方法与过去的有限元特征分析方法[8]相比的显著特点是：导出虚功原理的出发点不同；有限元单元形式为非协调元；楔形体端部邻域内的位移场假定没有采用奇异变换技术。

Using linear elastic fracture mechanics and finite element method and window moving technique, a two-dimensional asphalt pavement crack propagation path simulator program has been developed with a combination of 8-node quadrilateral isoparametric element and 6-node triangular collapsed singular isoparametric element.

鉴于影响沥青路面早期裂缝的因素多而复杂，给出了影响沥青路面裂缝的因素及其相互作用关系图帮助识别裂纹形成机理。

There are the following several points different from existing finite element eigenanalysis methods for asymptotic fields near the crack tip:(1)The jump-off that educes the formula is different.(2)The form of the element is a ad hoc element.(3)The singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip.

该方法与过去原有求解裂纹端部近似场的有限元特征分析方法有几点不同：(1)导出公式的出发点不同；(2)单元形式为高次内插单元；(3)尖劈端部邻域内的位移场假定没有采用奇异变换技术。

The results show the high accuracy quality of spectral element method and the stability of Newmark time integral method. Then some computational parameter is changed in example one such as the subdivision style of computational domain, time step length and such on. Some important conclusions and strategies for spectral element method with Newmark integral method for computational aeroacoustics can be given. The feasibility of spectral element method for computational aeroacoustics is verified.

计算结果表明谱元方法的高精度及Newmark时间积分方法的稳定性，并改变算例的计算参数，例如计算区域剖分方式、时间推进步长等进行了计算，得出了一些重要结论，为使用谱元方法结合Newmark积分求解气动声学问题积累了重要的经验，最终证明了谱元方法求解计算气动声学问题的可行性。

If the type of the substitutable element is the same as the type of the head element you will not have to specify the type of the substitutable element.

如果替代元素的类型和标题元素的类型相同，你就不需要再指明替代元素的类型了。

In the example above, the "name" element is the head element and the "navn" element is substitutable for "name".

在上面的例子里，"name"元素是标题元素，"navn"元素可以替代"name"。

This article mainly simulates gradually damage destruction process of rock, major in determinationg the definition of rock three-dimensional damage tensor, simplify to the damage tensor and obtain its engineering calculation method, and obtains the basic expression form of equivalent stress by equivalent stress assumption, symmetrization to the actual stress, thus obtains construction relation of the festival principle of three-dimensional damage rock mass, finally couples elasticity- plasticity with damage in the finite element equation, with reference to elasticity-plasticity gradually degenerated method thought, simulates rock damage to advance gradually the destruction process in finite element method, draws up elasticity - plasticity and damage coupling two-dimension finite element procedure with the C language in the VC contact surface, by simulating experiment destroyed process, acquires destruction image and the axial load distortion curve of model, agreement with the experimental result.

本文主要模拟岩石渐进损伤破坏过程，确定岩石三维损伤张量的定义，对损伤张量进行简化计算并得出其工程计算方法，采用等效应力假设得出有效应力的基本表达形式，对有效应力进行对称化，得出节理损伤岩体的三维本构关系，在有限元方程中实现弹塑性和损伤耦合；借鉴弹塑性渐进退化方法的思想，采用有限元的方法模拟岩石损伤渐进破坏过程，用C++语言在VC界面编制了弹塑性和损伤耦合的二维有限元程序，通过模拟已有的实验破坏过程，得出模型的破坏图像和轴向荷载变形曲线，与实验结果基本一致。

SUI Yunkang, different filter functions of element weight, element allowable stress and element stiffness are introduced to change the 0-1 type discrete topological variables to continuous topological variables between 0 and 1, thus a topological optimization model with continuous topological variables is built.

删除无效约束技术就是在近似射线步以后，根据一定的准则，将约束分为无效约束和有效约束，删除无效约束，保留有效约束，减小优化模型的规模，提高求解效率。

This paper, which focused on the structure optimization theory and method, has finished such studies as follows: The three dimension model has been built, which provide the necessary conditions for the building of the dynamics equivalent model. By the launch dynamics simulation, the loads of the key joints when the rocket is launched has been got, which provide the necessary data for the finite element analysis and the structure optimization. The finite element model of the excess weight parts of the rocket has been built, buy the finite element intension analysis of the model in two conditions, the displacement and the stress of the key points have been got, which make us know the distributing of the stress and the transmogrification of the part. To satisfy the intension and the precision design request and to decrease the weight of the part as many as possible, the part has been topology optimized by the structure optimization theory and method. After that, the new model has been analysis in structure and launch dynamics. The contrast of the character change of the old part and the new part and the influence on the rocket system have been studied.

本文以结构优化理论和方法为核心，主要做了以下工作：建立了某自行火箭炮全炮三维实体模型，为建立该火箭炮系统的动力学等效模型提供了必要条件，进行了发射动力学仿真，得到该火箭炮发射装置各关键连接部位在发射状态下的载荷，为有限元分析和结构优化提供了必需的数据；建立了该火箭炮发射装置超重部分的有限元模型，分两种工况，对模型进行了有限元强度分析，得出了关键部位的位移和应力值，对其的应力和变形分布有了具体的了解；运用结构优化的理论和方法，对该火箭炮发射装置超重部分进行了拓扑优化，使其在满足强度和精度的要求下尽可能多地减轻重量，对优化后得到的模型进行了结构分析和发射动力学分析，对比了该部件优化前后的特性变化以及对火箭炮系统的影响。

In the second chapter several new concepts of elasto-plastic fuzzy stiffness and element are proposed. The fuzzy element matrixes corresponding to the elasto-plastic fuzzy element are also established. In order to use the bilinear and trilinear restoring force modles on analysis seismic responses of structures. A fuzzy mathematical method for dealing with the critical points of the restoring force curve is proposed too.

第二章针对结构在地震弹塑性分析中的刚度模糊性，提出了模糊刚度的概念，并进一步对平面和杆系的弹塑性问题提出了弹塑性模糊单元的概念，建立了相应的模糊单元刚度矩阵；为了利用现有的折线恢复力模型，并且更好地反映结构刚度的过渡性，还给出了用模糊数学处理折线恢复力模型刚度折点的方法。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。