MP_DOA

C++编写“三维粱单元有限元计算内核”，对杆系有限元的理论和C++的理解有了很大提高(C++ written " three-dimensional beam finite element kernel module" , and on finite element theory and the understanding of C++ has been greatly improved)

说明：  文件中有大量 数据样本，根据样本进行数据处理，求均值，插值，最大值，最小值等(There are a large number of data samples in the file. According to the samples, data processing is carried out to find the mean value, interpolation, maximum value, minimum value, etc)

基于分数阶傅里叶变换的线性调频信号的自适应时频滤波，希望对大家有用(Based on Fractional Fourier Transform Linear FM signal adaptive time-frequency filtering and hope for all of us)

实现了粒子滤波算法代码，供大家参考学习。(Particle filter algorithm to achieve the code for your reference study.)

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.)

这是一个三次样条插值函数实现的C代码。如果插值点需要改变，可以在程序中改定。(This is a cubic spline interpolation function of the realization of the C code. If interpolation points need to change, the procedures will change.)

FFT变换，有硬件说明架构和框图，说明傅里叶变换的原理和意义，同时附有128点的傅里叶变换(FFT )

牛顿插值法进行多项式逼近，matlab编译成功，直接可用(Newton interpolation polynomial approximation method, matlab compiled successfully, directly available)

封闭方腔自然对流格子布尔兹曼程序，在瑞利数为2000及4000时的两种算例，包括说明文字。(Closed square cavity natural convection lattice Boltzmann method)

说明：  该算法用于现代武器的弹道曲线中，使一种用的很广的先进算法(the algorithm used modern weapons ballistic curve, a widely used in the advanced algorithm)