AIA

说明：  线性代数及其应用 第4版 1-Linear Algebra and Its Applications 4ed.MIT Gilbert Strang(1-Linear Algebra and Its Applications 4ed.MIT Gilbert Strang)

这是一个3维8节点计算弹性力学有限元的MATLAB程序： 1） 生成网格的程序，可以更改模型尺寸、单元数量等参数；2）可以 计算刚度矩阵、位移、应力等，并将结果保存；3）可以后处理程序显示结果；(This is a 3-D 8-node MATLAB program for calculating finite element of elasticity:1) mesh generation program, which can change the size of the model, the number of elements and other parameters; 2) stiffness matrix, displacement, stress and so on can be calculated, and the results can be saved; 3) the results can be displayed by post-processing program.)

C 语言，模拟流体相平衡过程，得到混合气体平衡态以后的工况参数(C language to simulate fluid phase equilibrium process, to obtain a mixed gas equilibrium after working parameters)

ABAQUS中用户材料子程序UMAT的开发主要解决两方面的问题：本构模型的建立和积分算法的选择。 本文主要研究非线性材料的UMAT实现方法，并重点研究其迭代算法部分，目前，用户材料子程序UMAT的迭代算法主要是常刚度法，常刚度法的优点在于算法原理较简单，程序编写较方便，缺点是当遇到复杂非线性材料时，其迭代次数较多，收敛速度也较慢，在这个情况下，本文采取的是一种迭代次数较少且收敛速度较快的切线刚度法，具体就是采用FORTRAN语言编制了基于Von-Mises模型的接口程序,并采用切线刚度算法，通过与ABAQUS自带本构关系计算的结果相比较，验证其正确性。(This paper studies the user subroutine UMAT of ABAQUS development methods, the use of FORTRAN language isotropic hardening material model of the interface program, studied the effects of such material is extremely elastic-plastic constitutive relation method. This article UMAT tightly around the secondary development of technology, the first principle of its interface detail, and then for the theory of nonlinear finite element incremental stiffness of the regular tangent stiffness method and the theory of algorithms to do an in-depth analysis of deduced a regular tangent stiffness and rigidity of the law of the specific expression of algorithm theory, and then the preparation of the two algorithms, respectively, of the UMAT program, and finally the establishment of a specific model checking, bringing with ABAQUS elasto-plastic constitutive relation of the calculated results compared to verify the correctness of the two.)

数值计算实例，主要有LU分解，龙格库塔法，高斯分解法，欧拉法，曲线拟合，曲线插值(Numerical example)

这是SIR微分方程模型对初值问题的求解和作图(This is the SIR model differential equations to solve the problem of initial value and mapping)

6自由度自由漂浮空间机械臂运动学建模，广义雅克比矩阵(6 degrees of freedom of the free-floating space manipulator kinematics modeling, generalized Jacobian matrix)

说明：  郭照立D2G9(D2G9)

计算最短路径，可用于计算图论中最短路径的分析和求解(Calculate the shortest path)

求解最短路算法，，， 赋路径初值 更新 显示迭代步数 显示每步迭代后(solve the lest distance)