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使用惩罚函数法对机械设计中的问题进行优化处理(The use of penalty function method for mechanical design optimization problems deal with)

弹性补偿法的程序，在abaqus中进行二次开发，可以计算各种结构的极限载荷。(The elastic compensation method of the procedure, carries on two times of developments in ABAQUS, can be used to calculate the limit load of various structures. )

说明：  这个程序是关于轴承刚度方程的MATLAB程序(This program is about the bearing stiffness equation MATLAB program)

加权总体最小二乘算法在直线拟合拟合的应用，算法为方兴博士论文中的算法1(total least square linear fitting)

随机调制信号下的模拟ppm，阐述了负荷预测的应用研究,是国外的成品模型。( Random ppm modulated analog signal under It describes the application of load forecasting, Foreign model is finished.)

多目标粒子群优化算法，利用粒子群算法原理编写优化两个目标函数。(Multi-objective particle swarm optimization algorithms, particle swarm optimization principle to write to optimize the two objective functions.)

有限差分法的径向滑动轴承求解，可用于求解油膜厚度、油膜压力等(Radial sliding bearings for solving finite difference method can be used to solve the oil film thickness, oil pressure, etc.)

精确黎曼求解器； 精确黎曼求解器：hll、hllc方法；(Accurate Riemann solver; Accurate Riemann Solver: HLL, HLLC method;)

说明：  西交大多相流程序。本程序由西安交通大学能源与动力工程学院 CFD-NHT-EHT 研究中心孙东亮博士开发。本程序的任何部分不得发表。本程序未经作者同意不得用于商业用途。您可以使用该程序或进一步发展该程序。发表任何在该程序基础上开展的工作请引用相关文献（文献在程序包内一并给出）(Most of the phase flow procedures in the West Cross. This procedure was developed by Dr. Sun Dongliang, cfd-nht-eht Research Center, School of energy and power engineering, Xi'an Jiaotong University. No part of this procedure may be published. This procedure shall not be used for commercial purposes without the consent of the author. You can use the program or further develop it. Publish any work carried out on the basis of the program, please refer to relevant literature (literature is given in the package))

说明：  利用四阶龙格库塔求解微分方程，并给出方程实例。(The fourth order Runge Kutta is used to solve the differential equation and an example is given.)