摘要
为研究2K-H行星齿轮传动在外扭矩作用下受齿轮副啮合综合误差激励的非线性动力学特性,建立了间隙型非线性动力学模型,其中考虑了齿侧间隙和时变啮合刚度。用自适应变步长Gill数值积分方法对系统的动力学微分方程进行求解。以3行星轮的2K-H行星齿轮减速器为算例,得到系统在不同参数条件下的简谐、非简谐单周期、次谐波、准周期和混沌稳态强迫响应。利用时间历程、相平面、Poincaré映射以及Fourier频谱,表明行星齿轮传动由于齿侧间隙存在会呈现丰富的强非线性动力学行为。
A clearancetype nonlinear dynamic model of a 2KH planetary gear train was presented to analyze the nonlinear dynamic behavior of the gear train excited by a static transmission error in addition to a mean torque. The model considers both the backlash and the timevarying meshing stiffness of the meshing gear pairs. The effect of the backlash was modelled by piecewise linear functions with the Gill numerical integration algorithm with adaptive step size control used to solve the governing differential equations. A 2KH planetary gear reducer with three planet gears was analyzed using the method. Five kinds of forced steady state responses, i.e. harmonic, nonharmonic periodicone, subharmonic, quasiperiodic and chaotic responses, were obtained for different system parameters and classified based on time histories, phase plane plots, Poincaré maps and Fourier spectra. The results indicate that the backlash induces complicated nonlinear dynamic behavior in the 2KH planetary gear train, which can not be analyzed by linear vibration theories.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2003年第5期636-639,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金资助项目(50075070)
