含齿面闪温的齿轮副动力学建模与动力特性分析

为研究齿面闪温对齿轮系统动力学的影响,基于H.Blok闪温理论,推导出齿面闪温沿啮合线的分布规律。分析了转速、负载、重合度、中心距变动系数对闪温的影响;依据Hertz接触理论,推导出含闪温的啮合刚度、齿侧间隙和齿廓误差计算式,并建立含齿面闪温的直齿轮副非线性动力学模型。采用CPNF数值法获得系统的双参伪彩图,分析齿面闪温对系统分岔、齿面冲击、齿面脱啮和动载系数的影响。结果显示,负载和转速对闪温影响较大,在进入和退出啮合处闪温达到极值较易发生胶合,闪温对非线性参数的影响恶化了系统的非线性动力学特性,因此,设计中应控制其闪温值。

Dynamics Modeling and Dynamic Characteristic Analysis of a Spur Gear Pair with Tooth Contact Flash Temperature

In order to study the influence of the tooth contact flash temperature on the dynamics in the gear system,the tooth contact flash temperature(TCFT)distribution along the line of action of driving gear and driven gear is calculated based on the H.Blok flash temperature theory. The influence of parameters such as speed,load,contact ratio and center distance variation coefficient on TCFT are analyzed. According to Hertz contact theory,the formulas of TCFT and the meshing stiffness,the backlash and the tooth profile error are deduced. A nonlinear dynamics model of a single-stage spur gear system is established when the nonlinear factors such as TCFT,the backlash,the time-varying meshing stiffness and the transmission error are consid ered. The influences of TCFT on the bifurcation,the tooth surface impact,the take off the meshing and dynam ic load coefficient are analyzed by CPNF(Continuous-Poincaré-Newton-Floquet)numerical method in the two-parameter plane pseudo-color mappings. The calculated results show that the load and rotate speed have great influence on TCFT and it reaches the extreme value in entering and exiting the meshing region,there fore,the tooth surface gluing is more likely to happened in here. And,the nonlinear dynamics characteristic of the system are degraded by TCFT. So,TCFT should be controlled.