Ngai and Wang [9] introduced the notion of finite type and described a scheme for computation of the Hausdorff, Box dimension when the finite type occurs, which, however, forces the ratios to be exponentially commensurable.
Ngai和Wang[9]提出了有限型的定义并给出了当迭代函数系统是有限型时计算系统吸引子Hausdorff，Box维数的方法，但有限型的定义要求相似变换的压缩比必须满足对数值可公度。
Based on the recognitions of the differences between dike-break and dam-break processes, the spatial and temporal distributions are discussed in connection with the break possibility and its characteristics in the Lower Yellow River. The quadtree grid system is employed incorporated with the Godunov-type finite volume method for hydrodynamic model, sediment transport model and breach-expanding model, which allows to provide detailed information on hydrodynamic characteristics, local scouring and breach spread nearby the breach in the dike-break process.
考虑到溃堤和溃坝之间的差异，本文在对黄河下游河段决口可能的分布区间、决口可能的方式、决口可能的时机进行分析的基础上，采用四叉树网格，使用GODUNOV型有限体积方法，联合水动力学模型、泥沙模型和口门展宽模型，对决口过程中口门附近的水动力特性、局部冲刷和口门展宽过程进行了深入的研究。
The results of finite element analysis under ship-platform collision type were examined with the experimental results.
通过与实验结果的比较，对船舶-平台模式下的有限元分析结果进行了验证。
A damped Newton type method was presented based on it. Global and local superlinear/quadratic convergence results were obtained under mild conditions, and the finite termination property was also shown for the linear BVIs.
基于此给出了求解箱约束变分不等式的一种阻尼牛顿算法，在较弱的条件下，证明了算法的全局收敛性和局部超线性收敛率，以及对线性箱约束变分不等式的有限步收敛性。
The circular pier bridge in double lines includes the influencing factors of the body type beyond the scour in circling piers, which is different from the traditional circling between single pier and double piers. It can be helpful in overcome the difficulty of circling pier and local scour among piers, for there is finite study on the fluid state, the velocity distribution and the shear stress on bed. This paper shows the process of three dimensional scour around the piers to found out the hydraulic characteristics and shear stress distribution on bed.
中文摘要：双排圆柱桥墩充分考虑到圆柱桥墩绕流冲刷时体型的影响因素，其流场水力特性及局部冲刷有别于常规的单圆柱或双圆柱墩绕流冲刷问题，对其各墩之间的水流流态、流速分布及床面剪切应力分布问题的认识和理解还不够透彻，研究其三维绕流冲刷过程，确定圆柱桥墩不同排列方式时的三维流场特性和床面剪切应力分布，可以在一定程度上解决群墩柱流场特性及局部冲刷问题。
The explicit determination of Cartan invariants is an important aspectin the modular representations of finite groups of Lie type.
精确确定Cartan不变量是李型有限群的模表示理论的研究中的一个重要方面。
With previous described finite element method we calculatedⅠ, Ⅱ, Ⅲtype of stress intensity factor along front of given shape and size crack at hole of guyed mast's ear-plate and transform them all to the form of no-dimension stress intensity factors which are convenient for calculation. Simulate no dimension stress intensity factor with polynomial by least square method. In order to maintain the changing trend of no-dimension stress intensity factor we replace the dispersed no-dimension stress intensity factor with data of polynomial function to calculate no-dimension Stress intensity factors of any shape crack at hole by multi-parameter Lagrange interpolation method. And then calculate stress intensity factor of any shape crack at hole. There is a comparison between interpolation value and the finite element analytical results of a certain shape crack which shows that they are close to each other. So we can replace whole 3-D finite element analysis with numerical interpolation calculation approximately.
采用前述有限元法计算桅杆结构拉耳各种给定形状、尺寸孔边裂纹裂纹前缘Ⅰ、Ⅱ、Ⅲ型应力强度因子，将全部应力强度因子转化为便于计算的无因次应力强度因子并采用最小二乘法进行多项式拟合，为确保应力强度因子变化趋势以拟合曲线函数值代替离散无因次应力强度因子采用多参数拉格朗日插值法插值计算任意形状孔边裂纹无因次应力强度因子，由无因次应力强度因子计算任意形状孔边裂纹应力强度因子；并就某一形状裂纹的插值计算结果与有限元分析结果进行对比：插值结果与有限元求解非常接近，因此采用数值插值计算近似代替全三维有限元分析简化应力强度因子求解过程。
The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.
为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。
In this paper, the electric field distribution and the electron trajectory of the Spindt-type emitter with small size of gate-hole, including their dependence on the gate shape, hole size and bias were calculated by finite element method.
利用有限元方法计算了具有微小栅极孔径的Spindt结构场发射阴极在不同栅极形状、孔径、电压下的电场分布和电子轨迹，并根据电子运动轨迹计算了场发射电子束的发散角和发射效率。
In this dissertation, first, based on theory of cutting tooth about the gleason spiral bevel gear, the equation of meshing in the process of cutting tooth, the surface equation of generating gear as well as the general tooth surface equation of the double circular arc spiral bevel gear, using GB12759-1991 type of double circular arc gear as a basic gear profile, a three-dimension solid model of double circular arc spiral bevel gear which has the good adaptability was carried out by used of Unigraphics software; Second, by researching of the algorithm about contact and collision as well as various contact types based upon Contacting Finite Element Method, a foundation was laid for selecting the contact type in analyzing contact stress of double circular arc spiral bevel gearing; Finally, through the connection port of PARASOLID between UG software and ANSYS/LS-DYNA software, the three-dimension solid model of double circular arc spiral bevel gearing obtained above in UG was imported into ANSYS/LS-DYNA, a finite element analyzing about contact stress of double circular arc spiral bevel gearing was carried out by applying new loading method.
本文首先基于格利森弧齿锥齿轮加工原理及切齿啮合过程中的啮合方程、产形轮齿面方程以及双圆弧弧齿锥齿轮的齿面方程，选用GB12759-1991型双圆弧齿轮基本齿廓为基准齿形，利用Unigraphics软件的建模功能，绘制了有较好适应性的双圆弧弧齿锥齿轮传动三维实体模型。其次，描述了应用有限单元法进行实体接触与碰撞问题算法的公式，研究了有限元分析中的各种接触类型以及双圆弧弧齿锥齿轮接触应力分析中所选择接触类型的依据。最后，通过UG软件和ANSYS/LS-DYNA之间的PARASOLID接口工具包，将UG软件中得到的啮合齿轮模型导入ANSYS/LS-DYNA有限元分析软件，给出一种新的加载方法，进行了双圆弧弧齿锥齿轮传动的接触应力的有限元分析。
Using the Non-linear analysis technology of ANSYS software, the three-dimension finite element model of radial tyre of R15 type of 60 series is built with three-dimension volume element, layer element and contacting element.
采用ANSYS软件非线性分析技术，通过三维体单元、层单元和接触单元，建立了60系列的R15型子午线轮胎的三维有限元模型。
The author constructed a linear schemes type Region-Project-Join-Normal-Form based on lossless join decomposition, and gave the form of RPJNF through the presentation of equivalence between semantic variable independence and syntax variable independence under finite precision domain. Some other new constraint data dependencies including partitioned multi-region existence dependency and single region existence dependency were also presented. A result of variables set under linear transformation was discussed.
文中给出并证明了多区域存在依赖满足的几条推理规则；提出并证明了线性序约束关系进行模式无损连接分解的充要条件是变量集满足变量独立和多区域存在依赖；设计了一种基于模式无损连接分解的区域投影连接范式；通过证明有限精度域上语义变量独立和语法变量独立的等价性，给出有限精度域上RPJ范式的表达形式。
Algorithm is a finite set of rules which gives a sequence of operation for solving a specific type of problem.
算法是规则的有限集合，是为解决特定问题而规定的一系列操作。
To determine the exact parameters of the Blumlein type Spark-03 PFL, a finite element method is used.
应用此方法，可以对不同类型的电容储能型加速器进行参数的模拟计算。
This paper gives a detail reliability study of the Clarke type CIMS production line with phase type life time and two classes of finite intermediate buffers on different flexible machanisms.
摘要详细地研究了具有位相型寿命，带有两类不同柔性机制的有限缓冲库的Clarke型 CIMS生产线的可靠性问题。
Finite element models for frontal crash sled test simulation of 4 types of child seats (the 5-point harness type, tray shield type and wearable type anchored on car seatbelts and the 5-point harness type with ISOFIX anchorages) under correct condition of use are set up with corresponding simulations and test verification proceeded.
建立了带正确使用条件的4种类型儿童座椅（利用车辆座椅安全带锚固的5点式背带型、护板型和着衣型及采用ISOFIX锚固的5点式背带型）正面碰撞台车试验有限元仿真模型，并分别进行仿真和试验校验。
Then, under three kinds of circumstances(cash flow are constant with zero growth rate, cash flow are constant with fixed growth rate and cash flow are finite), this paper analys the applicability of different tax shield value theories, and adjusts the expression type of adjusted present value method according to the analytical result. Through making use of general expression of cost of equit put forward by Taggart at 1989 and CAPM, this paper deduces the relationship between parameters of the four models. Putting the parameters into discounted cash flow models and using the models in practice, the paper confirms that if we use discounted cash flow models correctly and also follow the assumptions, we can get consistant valuation result.
之后，本文对不同的税盾价值理论，在三种情况(现金流永续零增长的情况、稳定增长的情况和有限期现金流的情况)下的适用性进行了分析，根据分析的结果确定调整现值法表达式的形式，并运用Taggart在1989年得出的股权资本成本一般表达式和资本资产定价模型推导出四种折现估价模型间参数的关系，将得到的参数表达式代入估价模型中，将估价模型用于实例，证实了在正确运用基本估价模型和遵循前提假设的情况下，四种折现估价模型估价结果在理论上是一致性。
In this paper, for a base of a heavy type universal coupling a analysis with finite element method have been done. From here on, the rules of it's stress and deformation have been got.
本文用有限单元法，对大型十字轴式万向接轴的轴承座进行了分析，得出了其应力和变形规律。
Based on the finite element method, the minium energy principle and the voltage equilibrium principle have been developed to calculate the ampere-turn distribution of parallel coils in a shell-type transformers.
本文基于有限元技术，提出计算壳式铁心变压器并联线圈中电流分配的最小能量法和电压平衡法，并证明了两种方法的等价性。
By sorting out the current commonly used structure types of continuous slabΟdeck, loading mechanisms of these structure types were analyzed1 The deformations of the beam ends in current conventional multiΟspan simple supported beam bridges were analyzed and compared1 On this basis, by finite element analysis of two types of continuous slab Οdeck, the stress and the crack width in the most adverse circumstance were obtained1 The comparison shows that the implantable continuous slabΟdeck can disperse deformation of concrete in a certain range to significantly reduce the stress and calculated crack width in continuous slabΟdeck1 This structure type has a higher value in application.
通过梳理目前常用的桥面连续构造型式，分析了其受力机理。对目前常规的多跨径简支梁桥的梁端变形进行了分析比较，在此基础上通过对两种桥面连续构造进行有限元计算分析，得出了桥面连续在最不利情况下的应力和裂缝宽度。对比发现植入式桥面连续构造能将混凝土变形在一定范围内分散，从而大幅减小了桥面连续处的应力和计算裂缝宽度，具有较高的应用价值。