UEL and UMAT

利用ANSYS有限元仿真软件对复合材料进行异常检测仿真实验，程序为一损伤样板模型(ANSYS finite element simulation software for composites simulation anomaly detection, the program is a damage model model)

说明：  关闭OFDM信号子载波，画出OFDM信号频谱图，查看旁瓣泄露情况(Close OFDM signal sub-carrier OFDM signal spectrum plot, view the situation sidelobe leakage)

说明：  本書介紹現代的數值近似方法，解釋這些方法如何、為何，以及何時有用，以作為進一步研讀數值分析與科學計算的基礎。修習本書，學生將學會辨別須使用數值方法求解之問題的種類，及使用這些方法時，誤差傳遞的實例；對無法求得確解的問題，應能求得精確的近似解，並學會估計此近似解誤差界限的方法。書中介紹的數值方法，由數學分析、計算法則到實例，皆有系統的說明。本書對於任何要使用數值方法的學系，均可作為良好的基礎教材，同時也是一本內容完備的參考書籍。(This book introduces modern numerical approximations, explaining how, why, and when they are useful as a basis for further study of readings and scientific calculations. In this book, students will learn to identify the types of problems that must be solved using numerical methods, and examples of error propagation when using these methods; for problems that cannot be solved, an accurate approximate solution should be obtained and learn to estimate this. The numerical methods introduced in the method of approximating the error bounds are systematically explained by mathematical analysis, calculation rules and examples. This book can be used as a good basic textbook for any department that wants to use numerical methods. It is also a complete reference book.)

采用有限元离散计算一维声子、光子能带，参数见文件源码内(Calculated using the finite element discrete one-dimensional phonon, photon energy band, within the parameters see document source)

线性规划matlab算法，包括单纯形法，修正单纯形法，大M法，变量有界单纯形法。(Matlab algorithm of linear programming, including the simplex method, revised simplex method, big-M method, the variable bounded simplex method.)

六轴工业机器人的逆运动学,采用VC++进行编程自动求解(inverse of 6-dof industrial robot)

用于计算太阳辐射的模型，该模型计算精度好，方法简单(Used to calculate the solar radiation model, the model accuracy, the method is simple)

判断点和线段之间的关系，包括点在线段的上，点在线段的延长线，反向延长线，点在线段外四种情况(Judge the relationship between the point and line, including the point on the line, in line at the extension of reverse extension cord, and so on.)

abaqus中扩展有限元（UEL）计算疲劳断裂(extended finite element method (uel)for fracture problems within the finite element software ABAQUS)

(一) 模拟产生一个正态随机序列X(n)，要求自相关函数满足 画出产生的随机序列波形。 ((A) simulation to generate a normal random sequence X (n), required to meet the autocorrelation function of random sequences generated by the waveform plot.)