基于键合图法对单环路轮系线性系统的稳定性研究  

Research on Stability of Single-loop Gear Systemwith Linear System Based on Bond Graph Method

作　　者：周新涛 张妍[1] 陈朋威 崔亚辉 ZHOU Xintao;ZHANG Yan;CHEN Pengwei;CUI Yahui(School of Mechanical Engineering,Shaanxi Polytechnic Institute,Xianyang 712099,China;School of Machinery and Precision Instrument Engineering,Xi'an University of Technology,Xi'an 710048,China)

机构地区：[1]陕西工业职业技术学院机械工程学院,陕西咸阳712099 [2]西安理工大学机械与精密仪器工程学院,陕西西安710048

出　　处：《机械制造与自动化》2023年第5期159-163,共5页Machine Building & Automation

基　　金：陕西省教育厅科研计划项目(21JK0503);陕西工院引进高层次人才科研启动经费项目(2020-9)。

摘　　要：采用键合图法建立XP型和PX型单环路轮系精确的数学模型,经计算分析得出轮系的动态特性和系统的稳定状态,该法解决了传统建模法对复杂轮系建模精度低的问题。根据齿轮传动系统的结构属性,引入模块化建模理念,并建立P型定轴模块和X型周转模块的结构图。以此为基础,采用模块化建模法分别建立XP型和PX型单环路轮系的结构图。根据键合图法的建模机理和优势,采用键合图法分别建立XP型和PX型单环路轮系精确的动力学模型。采用数值仿真法,分别获得XP型和PX型单环路轮系的动态响应情况,结合动态系统的极点-零点图、伯德图、奈奎斯特图和尼科尔斯图等4个指标,分析、评价轮系的动态稳定性。经研究得出:在线性系统中,XP型单环路轮系的稳定性比PX型单环路轮系要好。This article introduces the precise mathematical models of the XP-type and PX-type of single-loop gear systems by bond graph method,on which calculation and analysis are conducted to obtain the dynamic characteristics of the gear system and the stable state of the system.The method improves the low accuracy in modeling complex gear systems by traditional modeling method.According to the structural properties of the gear transmission system,the modular modeling concept is introduced,and the structure diagrams of the P-type fixed axis module and the X-type turnover module are established.Modular modeling method is applied to acquire the structure diagrams of XP type and PX type of single-loop gear systems respectively.On the basis of the modeling mechanism and advantages of the bond graph method,the precise dynamic models of the XP type and PX type of single-loop gear systems are built by the bond graph method.Numerical simulation method is adopted to infer the dynamic response of XP type and PX type of single loop gear systems respectively.By combining the pole-zero diagram,Bode diagram,Nyquist diagram and Nichols diagram of the dynamic system,the dynamic stability of the gear train are analyzed and evaluated.The research result shows that the stability of the XP-type of single-loop gear system is better than that of the PX-type of single-loop gear system in linear system.

关 键 词：单环路轮系 键合图模型 线性系统 动态特性 稳定性 

分 类 号：TH113[机械工程—机械设计及理论] TH132