VLE_NRTL

ABAQUS扩展子程序应用，实例学习，仅供参考(ABAQUS extended subroutine application)

一圆形游泳池如图所示，现在需在其周围建一圆形过道，并在其四周围上栅栏。 栅栏价格为35元/米，过道造价为20元/平方米。 过道宽度为3米， 游泳池半径由键盘输入。 要求编程计算并输出过道和栅栏的造价。(A circular pool as shown in figure, now in its built around to a circular corridor, and in its 4 around on the fence. The fence for 35 yuan/m price, corridor cost for 20 yuan/square metre. Aisle width is 3 meters, The radius of the swimming pool by keyboard input. Demand and output programming calculation of corridor and the cost of the fence. )

使用奇异值分解来帮助求解最小二乘问题，特别是在方程系数矩阵不满秩的情况下。(SGELSD computes the minimum-norm solution to a real linear least * squares problem: * minimize 2-norm(| b- A*x |) * using the singular value decomposition (SVD) of A. A is an M-by-N * matrix which may be rank-deficient.)

多元GARCH的Matlab程序，用于计算GRACH(y,p,q)(Multivariate GARCH in Matlab)

基于内点法的最优潮流计算，跟踪中心轨迹内点法最优潮流程序 实现了有功损耗最小的经济分配。(Optimal power flow calculation based on interior point method, the point-of-flight optimal power flow program in the tracking center trajectory achieves the economic distribution with the least active loss.)

用栈的思想实现的简易计算器，可直接输入表达式，然后自动计算结果(Ideology with a stack of simple calculator, you can directly enter an expression, then automatically calculated)

一个drucker prager模型的 的用户子程序，用于求解平面应变问题 abaqus UMAT and inp(drucker prager yield model for abaqus )

说明：  用于abaqus二次开发材料VUMAT，为初级学者找到更简单的方法(Materials for ABAQUS secondary development)

可以进行平面拟合，基于matlab语言，简单易懂(It can be used for plane fitting. It is simple and easy to understand based on MATLAB language.)

工程领域，PR方程代码.用于计算混合工质性质。(PR equation code)