gear

说明：  一个基于有限元方法的平面问题求解器，支持网格类型为二维四边形四节点单元和四边形八节点单元的有限元网格： 前处理——用Abaqus建模编号并导出数据 在Matlab中读取数据文件 计算单元刚度矩阵（采用高斯积分），组集结构刚度矩阵 组集结点载荷向量，引入位移边条 求解结点位移，单元应力应变 后处理——绘制应力应变位移云图，与Abaqus结果对照(A plane problem solver based on finite element method)

实现快速分数阶傅里叶变换功能。分数阶傅里叶变换是整数傅里叶变换的普遍形式，可用于光的菲涅尔衍射模拟。(The function of fast fractional Fourier transform is realized. Fractional Fourier transform is a general form of integer Fourier transform, which can be used to simulate Fresnel diffraction of light.)

MIKE21BW应用程序，用于海绵层和孔隙层的计算(MIKE21BW application for calculation of spongy and pore layers)

利用matlab软件的Curve Fitting工具对声速剖面进行拟合，仿真其真实情况，同时对三维数据进行了仿真拟合。(The sound velocity profile was fitted by the Curve Fitting tool of Matlab software, and the real situation was simulated. At the same time, the three-dimensional data was simulated and fitted.)

功能为求解系数矩阵为三对角矩阵或者循环三对角矩阵的线性方程。 输入的四个参数均为行向量，分别对应系数矩阵的上副对角线，主对角线，下副对角线，以及方程等号另一侧的常数矩阵(The four parameters of the input are line vectors, which correspond to the upper diagonal lines of the coefficient matrix, the main diagonal line, the lower diagonal line, and the constant matrix on the other side of the equation.)

说明：  根据地层参数（速度、密度、厚度），设计相应子波，合成地震记录(According to the formation parameters (velocity, density, thickness), the corresponding wavelet is designed to synthesize the seismic record)

分层的一维热传导方程的有限差分法MATLAB程序，是简单的显式差分格式，尽量使用了矩阵运算，没有符号运算。 文件chafen1.m以路面为例，假设有多层建筑材料，热传导系数已经在代码中给出。用户使用时请按自己需要修改chafen1.m文件，增减层数，修改热传导系数等即可。(One-dimensional heat conduction equation finite difference method MATLAB program, is a simple explicit difference format, as far as possible use of matrix operations, no symbolic operations The file Chafen 1.m takes the road surface as an example, assuming that there are multiple layers of building materials, the thermal conductivity is given in the code. Users should modify the Chafen 1.m file according to their own needs, increase or decrease the number of layers, modify the thermal conductivity and so on.)

说明：  已知单自由度受迫振动体系的运动方程的解，是由齐次方程的通解与特解组成。其次方程的通解在无阻尼、临界阻尼、低阻尼、超阻尼中各有不同。(It is known that the solution of the motion equation of a single degree of freedom forced vibration system is composed of the general solution and the special solution of the homogeneous equation. Secondly, the general solution of the equation is different in undamped, critical damping, low damping and super damping.)

对Rsoft仿真数据进行调用处理，更清晰绘制所得结果(Call and process the Rsoft simulation data, and draw the results more clearly.)

通过拉格朗日方程模拟仿真双摆系统的运动过程，并生成poincare映射图(The motion process of double pendulum system is simulated by Lagrange equation, and Poincare map is generated.)