摘要
以单级直齿轮传动系统为研究对象,建立包含时变啮合刚度、综合误差、齿侧间隙的横-扭-摆耦合10自由度非线性动力学模型。详细推导并计算齿轮啮合过程中间隙、压力角和中心距的动态数值;利用Lyapunov指数法研究齿侧间隙与系统稳定性的关系;结合分岔图和庞加莱映射图,研究齿侧间隙对系统振动特性的影响。研究表明:工况一定时,随着齿侧间隙不断增大,系统通过分岔和激变从单周期响应过渡到混沌,且通过分析得到了间隙的取值范围,为工程设计提供了理论指导。
With a single-stage spur gear transmission system as the reserch object,a 10-degree-of-freedom nonlinear dynamic model of transverse-torsion-pendulum coupling including time-varying meshing stiffness,comprehensive error and tooth backlash is established.The dynamic values of clearance,pressure angle and center distance during the gear meshing process are deduced and calculated in detail,Lyapunov exponent method is applied to study the relationship between the tooth side clearance and the system stability,and by combining the bifurcation diagram and the Poincarémap,the influence of the tooth backlash on the vibration characteristics of the system is studied.The research shows that the system,under certain working conditions,transits from a single-period response to chaos through bifurcation and sudden changes as the tooth side clearance increases,and through the analysis,the value range of the clearance is obtained,which provides theoretical guidance for engineering design.
作者
李扬
朱佳博
李伟
黄静秋
LI Yang;ZHU Jiabo;LI Wei;HUANG Jingqiu(Shaanxi Railway Engineering Vocational and Technical College,Weinan 714099,China;Lu′an New Chemical Material Co.,Ltd.,Taiyuan 030400,China;Jianglu Machinery Electronics Group Co.,Ltd.,Xiangtan 411199,China)
出处
《机械制造与自动化》
2023年第3期16-19,36,共5页
Machine Building & Automation
基金
陕西铁路工程职业技术学院2022年科研基金项目(KY2022-23)
陕西铁路工程职业技术学院创新团队培育计划项目(KJTD202002)。
