Study on Mathematical Modeling Software MATLAB Teaching in Higher Vocational Colleges

The present situation of the mathematics teaching in higher vocational colleges is not optimistic. In the new education system, it is an urgent problem for the mathematics teachers in higher vocational colleges to bring forth new ideas for the teaching methods, improve the students＇ interest in learning, and train the application-oriented talented personnel needed by the society. MATLAB software package can help set up a bridge and link for the mathematics teaching and the practical application. Its powerful numerical calculation ability can quickly solve all kinds of calculation problems, so that the basic thinking methods are more closely focused in mathematics teaching and also more conditions are created for mathematics teaching to combine the actual major conditions and life conditions. In this paper, the related problems in the implementation of mathematical modeling software MATLAB and model in higher vocational colleges are discussed.

Edge detection and mathematic fitting for corneal surface with Matlab software

AIM：To select the optimal edge detection methods to identify the corneal surface,and compare three fitting curve equations with Matlab software. METHODS：Fifteen subjects were recruited. The corneal images from optical coherence tomography（OCT）were imported into Matlab software. Five edge detection methods（Canny,Log,Prewitt,Roberts,Sobel）were used to identify the corneal surface. Then two manual identifying methods（ginput and getpts）were applied to identify the edge coordinates respectively. The differences among these methods were compared. Binomial curve（y=Ax2＋Bx＋C）,Polynomial curve [p（x）=p1xn＋p2x（n-1）＋....＋pnx＋pn＋1] and Conic section（Ax2＋Bxy＋Cy2＋Dx＋Ey＋F=0）were used for curve fitting the corneal surface respectively. The relative merits among three fitting curves were analyzed. Finally,the eccentricity（e）obtained by corneal topography and conic section were compared with paired t-test. RESULTS：Five edge detection algorithms all had continuous coordinates which indicated the edge of the corneal surface. The ordinates of manual identifying were close to the inside of the actual edges. Binomial curve was greatly affected by tilt angle. Polynomial curve was lack of geometrical properties and unstable. Conic section could calculate the tilted symmetry axis,eccentricity,circle center,etc. There were no significant differences between ＇e＇ values by corneal topography and conic section（t=0.9143,P=0.3760 〉0.05）.CONCLUSION：It is feasible to simulate the corneal surface with mathematical curve with Matlab software. Edge detection has better repeatability and higher efficiency. The manual identifying approach is an indispensable complement for detection. Polynomial and conic section are both the alternative methods for corneal curve fitting. Conic curve was the optimal choice based on the specific geometrical properties.

Mathematical Modeling and Software Application of Blood Flow for Therapeutic Management of Stroke

People in the rural areas do not have access to specialist medical care, and when they have complications of stroke, they do not have specialists to look at them and they cannot afford to travel to the cities. The primary health care centers are not equipped with sophisticated equipments. Medicine is about medication, treatment and management. In rural areas treatment is not available either because of accessibility or affordability. Even the few doctors that are available are not in primary health care centres. Well conserved one-dimensional non-linear equations of blood flow describing blood flow in distensible blood vessels were used to develop software. This model could describe discontinuities and disruption in blood flow. The computer software can be used for detecting artherosclerosis, stenosis and differentiation of haemorrhagic and ischaemic strokes for stroke management from simple measurements. The software developed is capable of computing the Siriraj and the Allen clinical scores. These scores have been proposed to help clinicians in making decisions while waiting for results of computerized tomography, hence clinicians can start anti-thrombotic treatment while waiting for the scan results. It is capable of simulating stenosis at different position and depth of flow along the arterial length, and can be used for diagnosis. The medical emphasis is on avoiding possible occurrence, every individual can know his status by inputting the required data such as flow and geometry of their arteries into the developed interface and such measurements can be obtained from simple Doppler measurements.

Calculating the proportion of Nd-rich phase in NdFeB alloy via Matlab software

Nd-rich phase plays an important role in the magnetic properties of sintered NdFeB alloy. The proportion of Nd-rich phase to all the other phases was calculated by using MATLAB 6.5 software. Especially, post-sintered alloy, post-high-temperature tempered alloy and post-high and low-temperature tempered alloy were analyzed. It was found that the proportion of Nd-rich phase in the three alloys based on SEM (scanning electron microscope) images was about 8.22%, 8.03% and 8.00%, respectively.

基于Mathematica和Matlab的典型数学物理方程解分布图像制作

通过计算机辅助软件Mathematica和Matlab,把典型数学物理方程解的空间分布制作成三维图像.

Matlab软件在教学实验中的应用

阐述Matlab在数值计算、数据分析、图形可视化和模拟仿真等方面的应用策略,探讨Matlab在创新性实验设计、科技竞赛项目开发、校企合作项目创新实践中的应用前景。

Development of Calculation Software for Automotive Side Swing Door Closing Energy

The existing research of the automotive side swing door and the closing angle via tests and simulations. In these tests, the closing energy is mainly conducted by measuring the closing energy door closing velocity and initial door closing angle are usually not taken into consideration, so the accuracy of the test data cannot be ensured, and, meanwhile, simulations require a great deal of manpower and time. Moreover, frequent tests would give rise to the increasing research and development costs. In this paper, in response to the deficiencies of these current methods, the complicated door closing process is decomposed into the closing processes of different subsystems of door, which includes weather strip seal＇, air-binding effect, door weight, hinge, check-link and latch. Mathematical models of those subsystems are established according to their working principles during the door closing process. In addition to the theoretical research, an Excel-based software using Visual Basic Application programming language is developed to realize the mathematical models, which aims to calculate the energy consumption of the subsystems. The energy consumption of different subsystems of a production vehicle door is measured to verify the accuracy of the calculation sottware developed. The proposed research provides not only the theoretical basis for the future door closing energy research, but also an interactive method and system, effectively improving the quality and efficiency of vehicle door design.

Development of a Simple Software Program Used for Evaluation of Plasma Electron Density in LIBS Experiments via Spectral Line Shape Analysis

A Software program has been developed in order to perform a fast and reliable calculation to plasma electron density in laser induced breakdown spectroscopy (LIBS) experiments. This program is based on analyzing the emitted spectral line shape via utilizing facilities of the MatLab7? package to perform this task. This software can perform the following tasks;read the exported data file (*txt-format) from ICCD camera-software, specify the working wavelength of interest, removes the continuum emission component appeared under the line, calculates the spectral line intensity of the line, calculates the spectral shift of the line from the tabulated values, correct against spectral shift jitter at the peak emission, de-convoluting and extracting the different components contributing to the emitted line full width at half of the maximum (FWHM) and finally calculates the plasma electron density. In this article we shall present the results of the test measurement of the plasma electron density utilizing spectral line shape analysis to the emitted Hα-line, Si I-line at 288.15 nm and O I-line at 777.2 nm at different camera delay times ranging from 1 to 5 μs.

A GENERAL MATHEMATICAL FRAMEWORK OF COMPLEX SYSTEMS(Ⅰ)

The fundamental and simplest structure of a complex system is a network.According to this idea,we plan to develop a general methematical framework of complex systems.In this paper,we discuss in detail the concept of systems,a general description of systems:System=(Hardware,Software,Environment),and whole-part relations,including relations between elements and systems,subsystems and systems,and between systems.The rules of operations of systems are given,and the induced transformations between hardware and software of systems are briefly discussed.

RHO:A Software Tool for Targeting and Design of Refinery Hydrogen Networks

Hydrogen management is important for refineries to improve their business efficiency.Various approaches such as pinch analysis and mathematical programming have been employed in the management of hydrogen system.However,it is not easy for site engineers to implement these techniques,due to the complicated procedures.At this point,it is necessary to develop a software that can implement the proposed methodologies automatically,which is really the goal of this work.The presented refinery hydrogen system optimization software(RHO)is a web based system.It is developed in the Java Web environment,where the subroutines of mathematical model developed in GAMS software can be easily called.RHO can generate graphics of both the hydrogen pinch diagram and the hydrogen distribution network.The purifiers as well as the physical distances between units are considered in the optimization model.In addition,there is a special module for the calculation of membrane separation,which is very important in the hydrogen network.The functions and the interfaces of the software are illustrated via practical cases.Case studies show the effectiveness of the RHO software.

A New Elliptical Cross-Section Mathematical Model of Woven Fabric Based on Jacobian Transformation

In order to give a true reflection of the spatial structure of woven fabric, a circular mathematical model is established based on the Peirce＇s model and the principle of the coordinate transformation. The circular model uses arcs and tangent lines as the yarn flexion shape and selects the circle as the yarn cross-section. Then, a new elliptical cross-section mathematical model is rapidly built by the Jaeobian transformation of the circular model. The Matiab software is used for the 3D simulation. It is shown that 3D simulations of woven fabrics with different weft and warp yarn counts, weft and warp densities, structure phases, weaves and flattening coefficients are successfully realized by Matiab basing on the elliptical mathematical model.

Mathematical and Numerical Modelling of Copper Tube Extrusion after Optimizing Geometrical and Operating Parameters

This study aimed to optimize cross-sectional area of the extruder and the flow rate of the material through the extruder. Extrusion process was first modelized using the continuum mechanics method before being simulated with the commercial software LS-DYNA using the Johnson-Cook model based on the finite element method after optimization of the factors with simplex algorithm. The study was carried out on a connecting rod: diameter of 145 mm, cross-section of 1.65 m2, length of 0.25 m, volume of 0.41 m3 and a mass of 37 kg. Optimum parameters obtained were temperature of 850℃, flow rate of 0.237 m/s, die diameter of 19.2 mm, pin diameter of 14 mm, extrusion strength of 565.6 kN and press pressure of 245 GPa. From these factors, a blank was obtained with external and internal diameters of 19.2 and 14 mm respectively over a length of 28 m with a thickness of 2.6 mm. Simulation using LS-DYNA software resulted in a difference in values of 7.4% between optimization and simulation when the difference of 2.4% was found between modelling and simulation. These values make the process optimal for industrial application to improve the extrusion requirements of copper tubes.

MATLAB软件辅助高等数学教学——以计算机类专业为例

鉴于在高等数学相关函数和定积分的教学中缺少应用场景介绍和学生空间想象力弱等问题,采用MATLAB软件辅助高等数学教学,通过图形直观展示其应用场景和自行编写代码计算定积分。结果表明:将MATLAB软件融入课堂教学不仅提高学生学习积极性,还加深学生对概念及定义的理解,使学生获得直观的感性认识和理性认识,提高了课堂的教学质量和效果。

Mathematical Modelling of Work of Modern Friction-Polymer Shock Absorbers and Determining the Dynamical Force during the Impact

Shock absorbers are main elements into construction of train wagons that secure protection from longitudinal forces which appear during transitional regimes of movement. Besides, development of new constructive solutions for shock absorbers is quite popular development of their working mathematical models. This paper presents modem shock absorber with elastic block made from polymer elements that increase quantity of absorbed energy. This is achieved by increasing the stiffness characteristic of polymer elastic block. The construction is relatively simple and technology used to create the construction is with more or less low price. If there is not enough elastic stiffness of the polymer block, there is a possibility for not meeting the UIC （International Union of Railways） norms for absorbed energy. Therefore, according to the mentioned characteristic, shock absorbers are divided into three groups. The mathematical model presented in this paper allows calculating the necessary elastic characteristic of the polymer block for a short time. Differential equation of movement of the shock absorber elements is presented in this paper. Force change of polymer block for various impact velocities participates in the differential equation of movement where initial velocity V0 and the current meaning of the velocity x are taken into consideration. The presented equation is solved by using program language MATLAB/Simulink by developing a simulation model.

Predictive Mathematical and Statistical Modeling of the Dynamic Poverty Problem in Burundi: Case of an Innovative Economic Optimization System

The mathematical and statistical modeling of the problem of poverty is a major challenge given Burundi’s economic development. Innovative economic optimization systems are widely needed to face the problem of the dynamic of the poverty in Burundi. The Burundian economy shows an inflation rate of -1.5% in 2018 for the Gross Domestic Product growth real rate of 2.8% in 2016. In this research, the aim is to find a model that contributes to solving the problem of poverty in Burundi. The results of this research fill the knowledge gap in the modeling and optimization of the Burundian economic system. The aim of this model is to solve an optimization problem combining the variables of production, consumption, budget, human resources and available raw materials. Scientific modeling and optimal solving of the poverty problem show the tools for measuring poverty rate and determining various countries’ poverty levels when considering advanced knowledge. In addition, investigating the aspects of poverty will properly orient development aid to developing countries and thus, achieve their objectives of growth and the fight against poverty. This paper provides a new and innovative framework for global scientific research regarding the multiple facets of this problem. An estimate of the poverty rate allows good progress with the theory and optimization methods in measuring the poverty rate and achieving sustainable development goals. By comparing the annual food production and the required annual consumption, there is an imbalance between different types of food. Proteins, minerals and vitamins produced in Burundi are sufficient when considering their consumption as required by the entire Burundian population. This positive contribution for the latter comes from the fact that some cows, goats, fishes, ···, slaughtered in Burundi come from neighboring countries. Real production remains in deficit. The lipids, acids, calcium, fibers and carbohydrates produced in Burundi are insufficient for consumption. This negative contribution proves a Burundian food deficit. It is a decision-making indicator for the design and updating of agricultural policy and implementation programs as well as projects. Investment and economic growth are only possible when food security is mastered. The capital allocated to food investment must be revised upwards. Demographic control is also a relevant indicator to push forward Burundi among the emerging countries in 2040. Meanwhile, better understanding of the determinants of poverty by taking cultural and organizational aspects into account guides managers for poverty reduction projects and programs.

An Educational GUI-Based Software for Dynamic Analysis of Framed Structural Models

This paper introduces a new version of the open-source educational software, LESM (Linear Elements Structure Model), developed in MATLAB for structural analysis of one-dimensional models such as frames, trusses, and grillages. The updated program includes dynamic analysis, which incorporates inertial and damping effects, time-dependent load conditions, and a transient solver with multiple time integration schemes. The software assumes small displacements and linear-elastic material behavior. The paper briefly explains the theoretical basis for these developments and the reorganization of the source code using Object-Oriented Programming (OOP). The updated Graphical User Interface (GUI) allows interactive use of dynamic analysis features and displays new results such as animations, envelope diagrams of internal forces, phase portraits, and the response of degrees-of-freedom in time and frequency domain. The new version was used in a structural dynamics course, and new assignments were elaborated to improve students’ understanding of the subject.

Matlab在“定积分的概念”教学中的应用

定积分的概念是高等数学课程中的一个重要的概念,该概念抽象难懂,需要仔细设计,才能让学生彻底地理解定积分的意义。本文借助Matlab软件结合实际教学对定积分的概念进行了讲解,针对定积分概念中的难点设计出了相应的程序帮助学员解决该难点,进一步辅助学生理解定积分思想,领会定积分的本质。

On Software Application Database Constraint-driven Design and Development

This paper presents a methodology driven by database constraints for designing and developing(database)software applications.Much needed and with excellent results,this paradigm guarantees the highest possible quality of the managed data.The proposed methodology is illustrated with an easy to understand,yet complex medium-sized genealogy software application driven by more than 200 database constraints,which fully meets such expectations.

基于MATLAB/Simulink对光伏电池建立模型与仿真

基于光伏电池数学模型,对光伏电池板的工作原理进行简要分析并给出其等效电路,使用MATLAB/Simulink对其建立仿真模型,并且通过在不同的环境下来测试光伏电池模型的特性,仿真结果与理论上的光伏电池P-V、I-V特性曲线基本吻合,证明所建立模型的合理性,对光伏电池在现实中的应用具有实际意义并对找到光伏电池合适的工作环境和实现其的最大功率提供了理论依据.

Arduino与Matlab相融合的自控实验平台

为帮助学生构建分析实际控制系统的方法,开发基于Arduino与Matlab相融合的自动控制实验平台。以温度控制系统为例,建立温度控制系统的数学模型;搭建基于Arduino平台数据采集、Matlab软件数据分析仿真和Python求解器参数优化的系统模型辨识平台。设计了内模PID控制算法,利用Matlab软件对辨识的模型进行仿真测试,同时对温度控制系统进行测试;实现Arduino平台代码的自动生成、自动下载运行以及硬件在环调试等功能。实验结果表明:系统模型辨识较为准确,所提控制策略效果较好;系统模型搭建、算法设计、仿真分析和系统测试全流程的体验,有助于学生提升分析控制系统的能力。