问题分析法

The main problem of the mode synthesis method , applied in structural vibration analysis of prefabricated bridges, is how to select relevant number of low frequency modes synthesized during the course that displacements of substructures are expressed in generalized coordinates that are defined by displacement modes.

模态综合法应用于装配式桥梁结构振动分析的主要问题，是在将子结构坐标缩聚为模态广义坐标的过程中，如何选取适当数目的低阶模态来参与综合。

Because of the limitations of the method for kinematic analysis and efficiency calculation of planetary gear trains,a graphic method was proposed.

针对现有的行星齿轮系运动学分析和效率估算方法存在计算复杂的问题，提出了一种图形解析法。

The DFP method is proved a officient one in processing unconstrainted optimization problem, so in this thesis, used the idea of mechanical structural optimization for reference analytically and extended modified formula of DFP—matrix to shape optimiation the DFP—Hamilton function method is put forward.

由于变尺度方法是有效的无约束优化方法，本文在分析的基础上借鉴了机械结构参数优化的思想，并将变尺度矩阵的修正公式扩展至形状优化中去，进而提出了变尺度—H函数极值法，并用其解决了梁、柱和复杂曲面的形状优化设计问题，取得了较好的效果。

These strategies include: an improved adaptive movement penalty method which prevent ill condition matrix based numerical instability, a network topology based identification method which prevent too much tuning and a limited times skipping method of trial iteration.

在上篇中，本文给出了以下内容：第二章详细描述了最优潮流牛顿算法的实现，着重分析了牛顿法实际应用中存在着的两个主要问题：数值不稳定性和如何快速正确地识别起作用的不等式约束集，并提出了相应的处理对策。

In addition,FPM is used to solve two-dimension incompressible viscous fluid problem.

还研究了配点型的纯"无网格"方法"有限点法"，应用该方法分析了不可压粘性流体问题。

By solving a axial-symmetrical boundary value problem consisting of a infinite solid and an isolated spheriodal particle embedded in an infinite matrix, some interesting results are found as follow:(1) at the micron scale, the smaller the particle is, the higher the stresses at the matrix/inclusion interface and within the particle are;(2) this size effect is more remarkable with decreasing the stress triaxiality and increasing the remote equivalent strain.

通过对三轴应力下含椭球夹杂的无限大体边值问题的分析，结果表明：(1)在微米尺度下，夹杂尺寸越小，夹杂/基体界面的法向应力、剪切应力和夹杂内部主拉伸方向的应力越高。

Heat equation; finite element method; inverse problem; probe method; size estimate

基础科学，数学，数学分析热方程；有限元；反问题；探测法；大小估计

Through an example in practical engineering,the state space iteration method is used for analy...

文中结合工程实例，采用状态空间迭代法进行结构动力时程响应分析，其计算结果表明，具有较高的精度，特别对多自由度体系的多输入、多输出等问题的动力响应解法，效率较高。

Numerical analysis of iterative method for solution of problems of linear equations, including input and output interface.

详细说明：数值分析中的迭代法解线性方程组问题，含输入输出界面。

An optimal algorithm of the generalized Jacobi method is developed to solve the generalized eigen-problems in the finite element analysis of structural problems.

针对有限单元法结构分析中的对称方阵广义特征值问题，提出广义 Jacobi方法的一种优化算法。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。