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说明：  abaqus vumat 子程序入门 UMAT FOR ABAQUS/STANDARD INCORPORATING ELASTIC BEHAVIOUR FOR PLANE STRAIN AND AXI-SYMMETRIC ELEMENTS.(introduction to abaqus vumat subroutine)

说明：  工程中微分方程数值积分经常需要使用的Newmark法(Differential equations numerical integration project often requires the use of the Newmark method)

说明：  分维反映了复杂形体占有空间的有效性，它是复杂形体不规则性的量度。它与动力系统的混沌理论交叉结合，相辅相成。它承认世界的局部可能在一定条件下或过程中，在某一方面（形态，结构，信息，功能，时间，能量等）表现出与整体的相似性，它承认空间维数的变化既可以是离散的也可以是连续的，进而拓展了视野。(Fractal dimension reflects the validity of space occupied by complex bodies, which is a measure of irregularity of complex bodies. It combines with chaos theory of dynamic system and complements each other. It recognizes that the part of the world may be similar to the whole in certain conditions or processes (form, structure, information, function, time, energy, etc.). It recognizes that the change of spatial dimension can be discrete or continuous, thus expanding the horizon.)

将ABAQUS的ODB结果文件按照人为要求在文本文档中记录(On ABAQUS ODB results file records in a text document in accordance with human requirements)

利用风速u,v计算海表风应力以及风应力旋度。(Calculation of sea surface wind stress and wind stress curl.)

这个是计算声传播的各种模型 包括简正波kraken波数积分scooter等模型 有很好的学习价值 (a system program for acoustic propagation calculation)

自己编的5种调制信号，混沌的判断指标Lyapunov指数计算,信号维数的估计。( Own five modulation signal, Chaos indicator for Lyapunov index calculation, Signal dimension estimates.)

对相干信号进行方位估计，使用TOEPLITZ矩阵进行解相干，music算法进行DOA估计(Estimation of the azimuth of coherent signals, decoherence using TOEPLITZ matrix and music algorithm for DOA estimation)

说明：  uel fortran code for CPE4 with analysis of beam example

涡格法进行无人机的设计，升力系数，阻力系数，力矩系数等等，美过圣母大学的设计辅助软件(VLM)