非正交面齿轮传动系统的擦边碰撞特性分析  

Analysis of grazing collision characteristics of non-orthogonal face gear transmission system

作　　者：高建设[1] 吴家宝 吴鲁纪[2] 杨林杰[2] 饶晓波 GAO Jianshe;WU Jiabao;WU Luji;YANG Linjie;RAO Xiaobo(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China;Zhengzhou Transmission Technology Co.,Ltd.,Zhengzhou Research Institute of Mechanical Engineering,Zhengzhou 450001,China)

机构地区：[1]郑州大学机械与动力工程学院,郑州450001 [2]郑州机械研究所郑州传动科技有限公司,郑州450001

出　　处：《振动与冲击》2025年第5期1-11,17,共12页Journal of Vibration and Shock

基　　金：高质量发展专项(2023ZY02004)。

摘　　要：为深入研究非正交面齿轮传动系统中的擦边碰撞现象,以齿面碰撞面和齿背碰撞面为分界面,将相空间划分为三个部分,构建了考虑多种强非线性因素的非正交面齿轮传动系统动力学模型。在两分界面建立位置Poincaré映射,并对擦边分岔条件进行计算,随后结合啮合力周期变化图和相图找到擦边分岔点,并对分岔点附近的Floquet乘子进行求解,通过分析擦边分岔对系统动力学的影响来揭示擦边碰撞特性,最后利用Adams软件进行仿真验证。研究表明:擦边碰撞会导致面齿轮传动系统冲击状态发生改变,通常不会对面齿轮传动系统的运动状态造成影响;当擦边分岔与倍周期分岔同时发生时,面齿轮传动系统会出现余维二擦边分岔,此时,擦边碰撞会导致系统运动状态与冲击状态均发生改变。此研究结果为工程中提高面齿轮传动系统的可靠性和寿命提供理论依据。Here,in order to deeply investigate phenomenon of grazing collision in non-orthogonal face gear transmission system,a dynamic model of non-orthogonal face gear transmission system considering multiple strong nonlinear factors was constructed by dividing phase space into three parts with tooth face collision surface and tooth back collision surface as interfaces.Position Poincarémaps at two interfaces were established,and conditions for grazing bifurcation were calculated.Then,periodic variation diagram and phase diagram of meshing force were combined to find grazing bifurcation point,and solve Floquet multiplier near bifurcation point.By analyzing effects of grazing bifurcation on system dynamic behavior,grazing collision characteristics were revealed.Finally,the software Adams was used for simulation verification.The study showed that grazing collision can cause changes in impact state of gear system,but usually can't affect motion state of gear system;when grazing bifurcation and period-doubling bifurcation occur simultaneously,gear system can have codimension-two grazing bifurcation,this moment,grazing collision can cause changes in both system's motion state and impact state.The results can provide a theoretical basis for improving the reliability and service life of face gear transmission systems in engineering.

关 键 词：擦边碰撞 擦边分岔 非光滑系统 面齿轮 冲击 

分 类 号：O322[理学—一般力学与力学基础] TH132.4[理学—力学]