振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
1期
206-212
,共7页
随机内部激励%人字齿轮传动%动力学特性%统计特征
隨機內部激勵%人字齒輪傳動%動力學特性%統計特徵
수궤내부격려%인자치륜전동%동역학특성%통계특정
random internal excitation%herringbone gear trains%dynamic characteristic%statistical characteristic
根据某特种装备用两级分流式人字齿轮传动系统的构型特点,考虑轴承变形、啮合刚度、啮合误差和齿侧间隙等因素,建立了两级分流式人字齿轮传动系统的轴承-齿轮耦合非线性动力学模型。采用 Runge-Kutta 逐步积分法求解系统的非线性动力学微分方程,从而获得随机啮合刚度和啮合误差激励作用下两级分流式人字齿轮传动系统的动态啮合力和动态支承力及其频谱,采用 Monte Carlo 仿真获得动态啮合力和动态支承力的统计特征,研究了啮合刚度和啮合误差随机性对动态啮合力和动态支承力的影响规律,为两级分流式人字齿轮传动系统动力学优化以及动态可靠性优化奠定基础。
根據某特種裝備用兩級分流式人字齒輪傳動繫統的構型特點,攷慮軸承變形、齧閤剛度、齧閤誤差和齒側間隙等因素,建立瞭兩級分流式人字齒輪傳動繫統的軸承-齒輪耦閤非線性動力學模型。採用 Runge-Kutta 逐步積分法求解繫統的非線性動力學微分方程,從而穫得隨機齧閤剛度和齧閤誤差激勵作用下兩級分流式人字齒輪傳動繫統的動態齧閤力和動態支承力及其頻譜,採用 Monte Carlo 倣真穫得動態齧閤力和動態支承力的統計特徵,研究瞭齧閤剛度和齧閤誤差隨機性對動態齧閤力和動態支承力的影響規律,為兩級分流式人字齒輪傳動繫統動力學優化以及動態可靠性優化奠定基礎。
근거모특충장비용량급분류식인자치륜전동계통적구형특점,고필축승변형、교합강도、교합오차화치측간극등인소,건립료량급분류식인자치륜전동계통적축승-치륜우합비선성동역학모형。채용 Runge-Kutta 축보적분법구해계통적비선성동역학미분방정,종이획득수궤교합강도화교합오차격려작용하량급분류식인자치륜전동계통적동태교합력화동태지승력급기빈보,채용 Monte Carlo 방진획득동태교합력화동태지승력적통계특정,연구료교합강도화교합오차수궤성대동태교합력화동태지승력적영향규률,위량급분류식인자치륜전동계통동역학우화이급동태가고성우화전정기출。
According to the configurational characteristics,a bearing-gear coupled non-linear dynamics model of two-stage split herringbone gear trains used in special equipment was presented.In the model,bearing stiffness,mesh stiffness,mesh errors and gear backlash were all included.Then the Runge-Kutta step-by-step integration method was used to solve the non-linear differential equations of motion,the time history curves and frequency spectrums of the dynamic meshing force and dynamic bearing force were obtained considering the random mesh stiffness and mesh error excitations, and further,their statistical characteristics were determined by Monte Carlo simulation to analyze the influences of the randomness of mesh stiffness and mesh errors on the dynamic mesh force and dynamic bearing force.The research results lay a foundation for the dynamic optimization and dynamic reliability optimization of two-stage split herringbone gear trains.