基于迎风差分格式的气动制动系统的共振频率研究  

Research on Resonant Frequency of Pipeline of Pneumatic Braking System Based on Upwind Difference Format

作　　者：方桂花[1] 高旭 王鹤川 FANG Gui-hua;GAO Xu;WANG He-chuan(Institute of Mechanical Engineering,Inner Mongolia University of Science and Technology,Baotou,Inner Mongolia 014010)

机构地区：[1]内蒙古科技大学机械工程学院

出　　处：《液压与气动》2019年第10期26-30,共5页Chinese Hydraulics & Pneumatics

基　　金：国家重点研发计划项目(2017 YFF0207203);内蒙古自然科学基金(2016MS0545);内蒙自治区科技创新引导奖励资金(KCBJ2018031);内蒙自治区科技创新引导奖励资金(2017CXYD-2)

摘　　要：一阶迎风差分方法,可用于气动制动系统中的气柱管路部分问题的研究,考虑到气体可压缩性和热交换性等影响,利用气体连续性和能量守恒原理建立气体连续方程、运动方程和能量守恒式。经复合函数微分法整理变换成振动方程后,通过MATLAB软件进行波动方程的差分仿真,讨论了在上流边区以振动方程为边界导致下流区的共振影响。仿真计算的结果表明:有限差分方法是研究气动制动系统管路的气柱共振特性较为有效的方法。The first-order upwind differential method can use to study the problem of the gas column section in the pneumatic braking system.Considering that gas compressibility and heat exchange have a greater impact on the pipeline.According to gas dynamics,the air in the control volume satisfies the conservation of mass,momentum,and energy.After the composite function differential method uses to transform into the vibration equation,the differential simulation of the wave equation is carried out by MATLAB software.The resonance effect of the downstream region caused by the vibration equation as the boundary in the upper region is discussing.The simulation results show that the finite difference method is a more effective method to study the gas column resonance characteristics of the pneumatic brake system pipeline.

关 键 词：差分方法 振动方程 管路 MATLAB 

分 类 号：TH138.52[机械工程—机械制造及自动化] U461.3[机械工程—车辆工程]