基于多重搜索算法的高压油管压力控制策略  

High-pressure Fuel Pipe Pressure Control Strategy Based on Multiple Search Algorithms

作　　者：许元振 房义 孙思荣 朱婧[2] XU Yuanzhen;FANG Yi;SUN Sirong;ZHU Jing(School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China;School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China;School of Materials Science and Engineering,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学机械工程学院,北京100083 [2]北京科技大学数理学院,北京100083 [3]北京科技大学材料科学与工程学院,北京100083

出　　处：《数学建模及其应用》2020年第4期110-115,F0003,共7页Mathematical Modeling and Its Applications

基　　金：北京科技大学青年教学骨干人才培养计划

摘　　要：本文源自2019年全国大学生数学建模竞赛A题,以质量守恒原理为基础,建立高压油管压力控制优化模型.首先,采用多重搜索算法和微元法,得到密度与压力的递推公式,通过迭代,求出高压油管的压力控制策略;随后,探讨了两个以上的喷油嘴在工作时高压油管内压力波动情况,得出凸轮角速度与喷油嘴的个数大致呈正比关系的结论,且在一定的凸轮角速度下,随着喷油嘴个数的增多,高压油管内的压力稳定性得到一定的提高.This paper studies the optimal model of high-pressure fuel pipe pressure control based on principle of conservation of mass from 2019 CUMCM Problem A.The model uses infinitesimal method and multiple search algorithm to get recursive formula of density and pressure,and to obtain the pressure control strategy of the high-pressure fuel pipe through iteration.In addition,we discuss pressure fluctuations in the pipe when more than two ejection nozzles are working.It is concluded that the angular velocity of cam is roughly proportional to the number of ejection nozzle,and with the increase of the number of nozzles,the pressure stability in the high-pressure fuel pipe will stay at certain extent.

关 键 词：高压油管 质量守恒 多重搜索 微元法 喷油嘴 

分 类 号：O29[理学—应用数学]