齿侧间隙影响的人字齿四分支传动非线性特性

NONLINEAR CHARACTERISTICS OF HERRINGBONE GEAR FOUR-BRANCHING TRANSMISSION CONSIDERING GEAR BACKLASH EFFECT

为了分析齿侧间隙引起的船用重载人字齿轮功率四分支传动的非线性问题,结合集中参数理论,建立综合考虑时变刚度、啮合阻尼、支撑刚度及阻尼、齿侧间隙等非线性因素的动力学模型。基于人字齿轮轮齿加载接触仿真分析,提出一种精确计算人字齿轮副的时变啮合刚度激励的方法,采用数值解法,得到齿侧间隙影响下的系统在无冲击、单边冲击和双边冲击状态的动载系数和振幅。结果表明:功率四分支传动系统具有复杂的非线性特性,对齿侧间隙量的变化较为敏感,齿侧间隙从0μm^150μm变化时,系统载荷由双边冲击到单边冲击变化,齿侧间隙当大于某临界值后,系统的动力学特性不再随齿侧间隙的增大而改变。揭示了人字齿功率四分支传动非线性动态特性的变化规律,为该系统的动态均衡优化设计奠定了理论基础。

For the nonlinear problem of herringbone gear power transmission four heavy branch by analysis of backlash of the ship,combined with the theory of the concentrated parameter,considering the time-varying stiffness,mesh damping,brace stiffness and damping,dynamic model of backlash nonlinear factors. With herringbone gear loaded tooth contact method of simulation technology,put forward a method for accurate calculation of herringbone gear meshing stiffness excitation; By using the theory of the concentrated parameter,three-dimensional dynamic model of bending torsion coupling of the system is established;Based on the dynamic differential equations are solved with variable step four order Runge-Kutta method,obtained under the influence of backlash in the system without impact,dynamic load coefficient and amplitude of unilateral and bilateral shock state.The results show that Power four branch transmission system has a complex nonlinear characteristic,which is sensitive to the change of the tooth side gap,the influence of the backlash on the nonlinear characteristics is greater,and the system load changes from the side impact to the side impact of the system when the backlash is changed from 0 μm ～ 150 μm; When the tooth gap is greater than a certain critical value,the dynamic characteristics of the system will not change with the increase of the gap of the tooth. To reveal the variation of nonlinear dynamic characteristics of herringbone gear power transmission for the four branching,the system dynamic equilibrium optimization design has laid a theoretical foundation.