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求解二阶变系数常微分方程,主要用于涡激振动中频率响应的计算(Solving second-order ordinary differential equations with variable coefficients)

偏微分方程的数值解法，简单的离散 变分以及求解过程(Numerical solution of partial differential equations, the simple and the solution process of discrete variational)

可进行最小二乘法线性拟合输出，包含源代码及生成后的程序(Least-squares linear fit can be output)

转载：众所周知有限元解决振动问题的能力还是有限的, 比如做齿轮啮合过程的动力学模拟就要同时涉及到接触和动力反映两个主要方面. 目前处理此类问题最成熟的软件当属MSC.ADAMS, 但ADAMS也只能在模拟过程中做到弹性与刚性接触而已! 据我所知, 已不止两位研究生试图用LS-DYNA来做此类模拟, 他们忽略了(或没搞清楚) LS-DYNA只能处理瞬态问题, 而对于该过程的模拟也是无能为力的!!! 结果是浪费了大量的时间, 甚至机会. 这本应是导师的责任, 但许多高龄导师对现代软件的不熟悉也是....那么此类问题的具体解决方案在哪里? Vibration Simulation Using Matlab and ANSYS 给出了答案. 掌握书中的内容意义非同小可! 这对于要从事CAE工作的将会受益(起码在今后20年内).随着我国经济的高速发展 解决资本积累必将是要遇到的问题, 工程(设备)维护, 系统监测也将(象发达国家)成为CAE非常重要的部分. 早早入手就能使你立于不败之地!(This book has three main purposes. The first purpose is to cc..-ct in one document the various methods of constructing and representing dynamic mechanical models. The second purpose is to help the reader develop a strong understanding of the modal analysis technique, where the total response of a system can be constructed by combinations of individual modes of vibration. The third purpose is to show how to take the results of large finite element models and reduce the size of the model (model reduction), extracting lower order state space models for use in MATLAB.)

时频分析的matlab GUI，AOK TFR 2，里面含有代码和相应的功能介绍的使用方法。分析结果分辨率很高( U65F6 u989 u5206 u7901 u7801 u548C u76R8 u5E94 u529F u029F u803F0 u4ECB u7ECD u7684 u4F7F U7528 u65399 u7)

说明：  进行PQ分解，计算电力系统潮流的有效方法，应用广泛(PQ decomposition is an effective method for calculating power flow in power system.)

标准节流件的计算中，利用软件MATLAB进行迭代计算(Standard Throttle pieces of the calculation, using MATLAB software iterative calculation)

GNU Scientific Library (GSL) 是一个用于科学计算的 C 语言类库。有超过1000个函数。 (GNU Scientific Library (GSL) is a C language library for scientific computing. There are more than 1000 functions.)

说明：  计算两组向量之间的旋转矩阵。输入参数为在两个不同坐标系中的同名向量（模为1），返回参数是一个3X3的旋转矩阵。(The function of RM realize the rotation between two sets of vectors, whose magnitude are 1, defined in two different refrence frames. Input parameters are two sets of vectors r and b, return value is a rotaton matrix.)

稀疏矩阵算法及其程序实现(杨绍祺+谈根林)，有解决稀疏矩阵需要的朋友可以好好认真的看一下(Sparse matrix algorithm and program implementation (Yang Shaoqi+ Tan root forest), solve sparse matrix can be a good friend in need a serious look at)