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The equations of dynamics for the balance are established by Kane's method, from which derives the characteristic equation of natural frequency by means of linearization of dynamic equations, and the six natural frequencies being developed according to the theory of vibration. The law of the six natural frequencies varying with mass of the upper platform and the stiffness of the elastic element are presented,and the Finite Element Method is employed to testify the validity of theoretical results.

基于 Kane 方法研究天平的动力学及模态，通过线性化动力学方程建立天平的固有频率方程，依据振动理论推导出并联天平的六阶固有频率及其对应的振型，同时研究了天平的六阶固有频率随敏感单元刚度系数及上平台质量的变化规律，并用有限元法验证理论计算结果的正确性。

The documentary is various art element creation effect , union seeing and hearing draws art being an integral whole, with definition , music , scene sound , primitive tableau, the scene is reproduced waiting for a variety of means to come to reflect the objective true event , come to show story be rich in content, development of personage story line , in the process of the element handling various art, discover a little new problem , new view and neodoxy , leave vast imagination space to person.

内容提要：纪录片是多种艺术元素的创作效果，并集视听声画艺术为一体，以解说、音乐、现场声、原始画面，情景再现等多种手段来反映客观真实事件，来表现故事内容，丰富人物故事情节的发展，在处理多种艺术元素的过程中，发现一些新问题、新见解和新观点，给人留下广阔的想象空间。

The paper put forward the route of static finite element analysis and structure optimization for the components of hydraulic pressure, performed the static finite element analysis of important components including higher beam, attained the distributing nephogram of stress and strain.

提出了液压机部件静态有限元分析和结构优化的思路，针对上横梁等重要部件进行静态有限元分析，得到应力应变分布云图。

The system is an integrated whole including simulation and real-time data gathering imaging, whose finite element model can be analyzed automatically and size can be adjusted. The isoline and nephogram drawing algorithm in finite element after-management have been realized.

伪迹的产生主要来自于测量数据中所包含的噪声和误差，对于反投影算法还有反投影理论本身所固有的星状伪迹。

First mostly contraposing hull deck structure it goes along FEA analysis, discuss the different influence degree of calculational results between the different simplifications of the mathematical model, thereinto mostly analyse five different simplifications of the deck model; Second contraposing hold section and hull deck structure it goes along FEA analysis together, discuss the different influence degree of calculational results between the different elements style, gridding number and gridding density, thereinto mostly analyse the difference between adopting 8 node shell element and 4 node shell element, nondense gridding and thick gridding, and numerous gridding number and few gridding number, In the end mostly contraposing hold section structure it goes along FEA analysis, discuss the different influence degree of calculational results between the different boundary conditions, thereinto mostly analyse the difference between adopting CCS boundary conditions and LR boundary conditions.

首先主要针对船体甲板结构进行分析研究，讨论结构简化不同对有限元计算结果的影响程度，其中主要研究分析了五种不同甲板结构简化模型；紧接着针对舱段与甲板结构一起进行分析研究，讨论单元类型，网格数量与密度的不同对有限元计算结果的影响程度，其中主要研究分析了分别采用8节点板壳单元与4节点板壳单元的不同，以及分别采用疏的网格与密的网格，多的网格数量与少的网格数量的计算结果的差异。最后主要针对舱段模型进行分析研究，讨论不同的边界条件对有限元计算结果的影响程度，其中主要研究分析了分别采用CCS舱段边界条件与LR舱段边界条件进行有限元计算而带来的结果上的差异。本文第二部分为港工建筑物中的大直径薄壁圆筒结构的有限元比较分析。在研究大圆筒的有限元比较分析中，主要讨论用不同的网格密度与数量来划分网格引起的差异。其中用了网格密，数量多与网格疏，数量少两种模型进行大圆筒结构的有限元分析对比

In order to simulate the mechanical behavior of nonhomogeneous materials numerically, the traditional finite element method is improved in this dissertation and the finite element method with nonhomogeneous elements is developed.

为了适用于非均匀材料的数值计算，本文将传统的有限元方法进行了改进，推导了非均匀单元有限元方法。

Zhu Jialin[23]used a simple layer distribution expression based on velocity-pressure formula for the Dirichlet problem of Stokes equation with a Galerkin boundary element method and presented some numerical examples calculated by constant boundary element.

祝家麟从速度-压力公式出发，利用单层位势表示定常Stokes 方程Dirichlet 问题的解，用Galerkin 边界元法求解，并用常单元给出数值算例。

The contents of this course include: the mathematical basis of FEM, the generic solution principles and expressions of elastic mechanics issue, the construction of element and its interpolation function, iso-parametric element and numerical integral, solution of linear equations, some practical issues of FEM modeling, brief introduction to typical commercial FEM packages, FEM for truss, plate blending and shell, and FEM for heat exchange and dynamics.

课程内容主要包括：有限单元法的数学基础、弹性力学问题有限单元法的一般原理和表达格式、单元和插值函数的构造、等参单元和数值积分、线性方程组解法、有限元建模的若干实际问题、典型商用有限元分析软件简介、杆件结构力学问题的有限单元法、平板弯曲问题的有限单元法、一般壳体问题的有限单元法、热传导问题的有限单元法、动力学问题的有限单元法等。

It was proved that the area coordinates of plane triangle element and the volume coordinates of tetrahedron element are equivalent to the oblique Cartesian coordinates by the analytical and geometrical methods.

本文通过分析法和几何法证明：在有限元法和边界元法中，平面三角形单元的面积坐标或四面体单元的体积坐标与由这些单元的二边或三边构成的斜交笛卡儿二维坐标或三维坐标，尽管定义不同，而其内容却是完全对等的。

We can use the finite element postprocessing technique for the finite element solution in order to obtain a higher convergence order than usual one.

我们可以运用有限元后处理技术对有限元解进行处理，获得比一般解更高的收敛阶。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。