【作者】 申永军； 杨绍普； 潘存治； 邢海军；

【Author】 Shen Yongjun Yang Shaopu Pan Cunzhi Xing Haijun Department of Mechanical Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043

【机构】 石家庄铁道学院机械工程分院；

【摘要】 建立了考虑间隙、时变刚度和静态传递误差的直齿轮副动力学模型,利用增量谐波平衡法研究了这一类模型的周期解,得到了任意阶近似解的统一形式。将增量谐波平衡法所得结果和数值结果进行比较,二者吻合良好。最后研究了阻尼系数和激励水平对幅频曲线的影响,所得结果可以用于分析和控制齿轮系统的动力学。更多还原

【Abstract】 In this paper the dynamical model of a spur gear pair is firstly established, where the backlash, the time-varying stiffness and the static transmission error are all included. Based on the Incremental Harmonic Balance Method (IHBM), the general forms of the periodic solution with arbitrary precision are obtained. Then the effects of the damping coefficient and the amplitude of excitation on the types of the periodic solution are investigated based on IHBM, and the accordance of these results with the numerical solutions proves the validity of the method presented here. At last how the damping coefficient and the amplitude of excitation influence the frequency-response curves is researched, and theses results are useful to analyze and/or control the dynamics of gear system.更多还原