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Chapter 4 puts up the basic theory of non-linear finite element calculation methods and deduces calculation iterative formula and relevant accelerating iterative format. In the calculation of non-linear finite element, yielding element calculation is a difficult problem,"fictitious elastic stress" methods propounded in this paper puts the axe in the helve.

第四章提出了非线性随机有限元法的基本理论，并推导了计算迭代公式，为加快计算速度，提出了相应的加速迭代格式，对于基于非线性随机有限元的可靠度计算中，屈服单元的计算方法是一个难题，本文提出了"虚拟弹性应力"法，较好的解决这个难点。

Hamilton principle can be used in holonomic system and intrinsical linear nonholnomic system. The formulas of them are unified. Hamiltonian action is stability in intrinsical linear nonholnomic system.

本文将Hamilton原理应用到本质线性非完整系统，首次证明了在本质线性非完整系统中，Hamilton作用量为稳定的作用量；将完整系统和本质线性非完整系统的Hamilton原理从形式和本质上统一起来。

When the solution for the linear equation is not unique, this thesis discusses the solution space of homogeneous equation and gives an orthonormal system, which yields all solutions of linear equation.

同时在再生核空间W_2~1中给出了一种求解该问题的稳定数值算法。对实际数据用该算法进行数值模拟，并与以前的工作相比较，得到了较好的结果。

By using non-linear finite element theory, a non-linear finite element model for hydroforming for rear axle housing is established.

利用非线性有限元理论方法，建立了后桥壳液压胀形有限元模型。

This invented simplified algorithm is to use sectional linear judgement method or looking-up table method to replace the hyperbolic tangent judgement. The substance is to use sectional linear judgement function L or judgement function T of looking-up table to approach the hyperbolic tangent function tanb.

为了解决这个问题，本发明的双层加权并行干扰对消算法的简化算法用分段线性判决方法或者查表法来代替双曲正切判决，其实质就是用分段线性判决函数L或者查表法的判决函数T逼近双曲正切函数tanh。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

Result:The linear of inosine is 0.040 1～0.721 8 μg,r=0.999 9,the limit of detection is 8.2 ng;The linear of hypoxanthine is 0.050 2～0.903 6 μg,r=0.999 9,the limit of detection is 7.4 ng.Conclusion:The peak ...

结果：肌苷的线性范围为0.040 1~0.721 8μg，r=0.999 9，最低检测限为8.2 ng；次黄嘌呤的线性范围为0.050 2~0.903 6μg，r=0.999 9，最低检测限为7.4ng；结论：各有关物质峰与肌苷峰能达到有效分离，且操作方法简便、准确、稳定，专属性强，可用于肌苷口服溶液有关物质的检查。

Then, breifly introduced the arithmetic of the Multiple Linear Regression and artificial neural networks, built up the Multiple Linear Regression model and artificial neural networks model on this foundation, and forecast ice jam water level distinguishly under experiment condition and natural condition.

然后，简要地介绍了多元线性回归和人工神经网络的数学算法，在此基础上建立了多元线性回归模型和神经网络模型，并依此分别对试验条件下和天然条件下冰塞的水位进行预测。

The use of linear motor in industrial application is increasing in the past few years. Meanwhile, as the need for high speed and high precision in the modern processing technology is increasing imperiously, traditional motors are replaced by linear motors.

中文摘要近几年来，线性马达在工业上的应用有显著的增加，随著现代化加工技术对於高速化、高精度加工的迫切需求，目前在精密机械产业上线性马达已逐渐取代传统马达成为市场新主力。

Model of MSMA linear actuator and its controlling system;2. The operation principle of inchworm type MSM linear actuator as well as the design and control system of the actuator are introduced.

然后分析利用仿生学蠕动原理将M SM小步距的位移累加形成直线驱动器所需要的大行程的工作原理，设计出了M SM 直线驱动器及其控制系统，最后给出了样机的实验结果。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐