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In the second chapter, elementary theories and ideas of one step forming inverse approach were described and warped modification method, implemented by Cook, was introduced into one step forming simulation and based on idea of surface spreading; new quadrilateral element modification arithmetic was put forward. By spreading warped quadrilateral onto plane in local coordinate system, a plane quadrilateral element whose shape and area were equal to original warped quadrilateral element was gotten and internal force vectors of four nodes and stiffness matrix of elements were improved to increase precision of simulations on this plane element.

第二章从一步成形逆有限元法的基本理论和思想出发,将Cook基于弹性理论的四边形单元的翘曲修正算法引入基于塑性的一步成形,并且基于曲面展开的思想,本文提出一种新的四节点单元翘曲修正方案,通过把翘曲的单元展开的方法在局部参考系中得到一个与实际翘曲单元的形状与面积非常接近的平面单元,在该平面单元中进行单元刚度及内力向量的计算,进一步改善模拟结果的精度。

In this thesis, we mainly study the multi-scale asymptotic expansion and high accuracy algorithm for the periodic structure of composite materials.

本文主要研究复合材料周期结构的多尺度渐近展开与高精度算法,特别对多孔复合材料的多尺度渐进展开与高精度算法作了比较详细的研究。

To make our approach to be practical, we also discuss the asymptotic expansion of the operator in chapter 6 which is based on the non-abelian Stokes theorem.

但是由于格点上的算符是path-order变量的乘积,并且其构成非常复杂,按照正常的方式展开实际上是不可能的,为了使我们的算法实际可行,本文接着讨论了格点上算符的渐近展开问题,并且给出了基于non-abelStokes定理的方法,这种方法克服了以前各种办法的缺点,并且简单可行,适用于任意的Wilson算符。

In this paper,the author discusses the multi-layer solution with two special limits in boundary layer of the singularly perturly boundary value problem and obtains uniformly valid zero order asymptotic expansion by using the matching asymptotic expanding method.

利用匹配渐近展开法,讨论了奇摄动边值问题中边界层内存在有两个特异极限的多层解,得出了奇摄动边值问题的一致有效的零次渐近展开

At present no mathematical tables could be utilized and no detail characteristics could be known. This paper makes use synthetically of Taylor series expansion and asymptotic expansion of complex argument Fresnel integral and argument transition function and the connections of the two expansions are analysized and found.

本章综合运用了小宗量级数展开和大宗量渐近展开,并且找到了小宗量和大宗量的衔接部,圆满地解决了复宗量菲涅耳积分和复宗量过度函数在整个复平面上的计算机计算问题。

Recently, barrettes have been used widely all over the world. A lot of researches carried out on their vertically-loaded behaviour, especially in influence of their non-axisymmetrical cross-section on it. But all these methods are implicit methods, which needs a lot of computing time. So in order to improve the understanding the vertically-loaded or lateral-loaded behaviour of barrette behaviour further, preliminary researches on barrettes are carried out in this paper.

近年来,随着壁板桩的广泛应用,相关研究也在逐步展开,有关其竖直承载特性方面的研究也在逐渐展开,尤其在壁板桩横截面非轴对称性对承载特性的影响方面也取得了很大的进展,但是这些方法多为三维隐式分析方法,需要耗费大量计算时间和内存。

A triangular sail stretching from the foretopmast head to the jib boom and in small craft to the bowsprit or the bow.

船首三角帆一面从前桅的中段展开至下桁的三角形帆,在小艇上则展开至第一斜桅或艇首

It is not only a quantity factor but non quantity factor at the same time to be considered, according to the validity of Taylor expansion formula which is nearby the expansion spot, then the author utilizes judging function of adaptive algorithm and dynamic cluster of the parameter to set up the cluster prediction model of the price of financial assets.

考虑了数量化的因素同时也考虑了非数量化的因素,依据泰勒展开公式在展开点附近的有效性,利用参数自适应算法和动态聚类的判断作用建立了金融资产价格的聚类预测模型。

The attacks in an unfinished skyscraper started flying eagle on the 2nd through the building disguised as a computer engineer security checks, building color guard OHara fan attempted petty-minded manner, in order to achieve our goals at violence and bullying, entanglement, secret service secretly sent to eliminate them all the killer is ready, waiting for an opportunity to start, Eagle One, on the 2nd trapped in the skyscraper began in cardiac shock force of self-help.

狙击行动在一栋未完工的摩天大楼展开,飞鹰二号伪装成电脑工程师通过大楼警卫检查,大楼警卫欧哈拉色迷心窍企图不轨,为达目的不惜暴力相向,纠缠不休,特务组织暗中派来消灭他们的杀手已准备就诸,伺机下手,飞鹰一号、二号被困在摩天大楼里展开了惊心动迫的自救行动。

It is shown that the number of dominant eigenvalues for a continuous random process in with bandwidth is with the aid of the continuous Karhunen-Lo è ve Expansion.

本文利用卡亨南—洛厄维展开对观测时间、带宽为的限带谱连续随机过程进行展开,得到其特征谱的解析表达式,即大特征值个数为。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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