正交面齿轮传动系统非线性动力学特性  

Nonlinear Dynamic Characteristic of Cross-Face Gear Transmission System

作　　者：郭雄雄 Guo Xiong-xiong(Xi’an Traffic Engineering,Shaanxi Xi'an 710300)

机构地区：[1]西安交通工程学院,陕西西安710300

出　　处：《内燃机与配件》2024年第21期31-34,共4页Internal Combustion Engine & Parts

摘　　要：以正交面齿轮传动系统为研究对象,考虑影响其非线性特性的齿侧间隙、时变啮合刚度以及综合啮合误差等因素,建立多自由度平移-扭转耦合动力学模型,对模型进行无量纲化处理。基于变步长四阶Runge-Kutta法,结合计算机仿真软件,对无量纲化系统动力学方程进行数值解析,定性分析系统受不同参数影响时的非线性动态响应。综合分析系统分岔图、最大Lyapunov指数、相图和Poincaré截面图,分析阻尼比和刚度幅值对系统运动状态的影响。结果表明阻尼比和刚度幅值的改变影响了系统的分岔与混沌特性,使得系统的运动形式呈现多样化,运动状态转迁丰富。A multi-degree-of-freedom translation-torsional coupling dynamic model was established for the orthogonal surface gear transmission system,incorporating factors such as tooth side clearance,time-varying meshing stiffness,and comprehensive meshing error.The dynamic equations of the dimensionless system were subjected to numerical analysis using the fourth-order Runge-Kutta method with variable step size and computer simulation software.Qualitative examination was conducted on the nonlinear dynamic responses of the system influenced by various parameters.A comprehensive analysis encompassed the bifurcation diagram,maximum Lyapunov index,phase diagram,and Poincare section diagram of the system.Furthermore,an assessment was made regarding the influence of damping ratio and stiffness amplitude on the motion state of the system.The findings revealed that alterations in damping ratio and stiffness amplitude significantly impact both bifurcation and chaos characteristics within the system dynamics,resulting in diverse motion forms and rich transitions in motion states.

关 键 词：面齿轮传动系统 非线性 分岔 混沌特性 

分 类 号：TH132[机械工程—机械制造及自动化]