摘要
文章针对2019年"高教杯"全国大学生数学建模竞赛A题——高压油管的压力控制,运用了动态平衡原理、夹逼原则及临界条件下的极值思想,构建了流体力学模型、基于分段函数积分及连续微分方程的燃油流量计算模型、基于运筹学理论的目标规划模型等,并综合运用了MATLAB、EXCEL和LINGO等软件进行数据拟合和编程求解,得出单向阀开启时长的控制方案,使高压油管内压力在一定情况下尽可能稳定为某一常量。
Aiming at 2019"Higher Education Cup"China Undergraduate Mathematical Contest in Modeling(CUMCM)A problem-high-pressure tubing pressure control,the Dynamic Balance Principle,the Squeeze Theorem and the extremum thought under the critical condition were adopted,and fluid mechanics model was established based on the continuous and piecewise function integral differential equations of fuel flow calculation model,the goal programming model based on operational research theory,etc.In addition,MATLAB,EXCEL,LINGO and other kinds of software were used for data fitting and programming solution,and the control scheme of the opening time of the one-way valve was obtained to make the pressure in the high-pressure tubing as stable as possible as a constant under certain circumstances.
作者
韩露
杨钰莹
HAN Lu;YANG Yuying
出处
《科技创新与应用》
2020年第16期103-105,109,共4页
Technology Innovation and Application
关键词
压力控制
优化模型
极值思想
微分方程
夹逼原则
pressure control
optimization model
extremum thought
differential equation
Squeeze Theorem
