振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
24期
150-157
,共8页
斜齿轮%动力学模型%齿面摩擦%变摩擦系数%变速过程
斜齒輪%動力學模型%齒麵摩抆%變摩抆繫數%變速過程
사치륜%동역학모형%치면마찰%변마찰계수%변속과정
helical gears%dynamic model%friction between contact teeth%variable friction coefficient%variable speed process
建立了含齿面摩擦的平行轴斜齿圆柱齿轮传动变速过程动力学模型,在建立模型时,接触线的位置和滑动速度是由主动轮转角确定,使用齿轮线位移和角位移作为广义坐标,因此这样的模型可适用于斜齿轮传动系统的变速过程分析,而且在该模型中,齿面摩擦力是用变摩擦系数获得的。选择一对斜齿轮对其加速过程进行数值计算,并与采用定摩擦系数和不考虑摩擦的计算结果在时域和魏格纳分布上进行对比分析,结果发现:摩擦会降低斜齿轮传动系统出现脱啮现象的临界转速,且具有阻尼和激励的双重作用,能改变斜齿轮传动的动力学响应,而且采用变摩擦系数或定摩擦系数所获得的动力学响应也有所不同。
建立瞭含齒麵摩抆的平行軸斜齒圓柱齒輪傳動變速過程動力學模型,在建立模型時,接觸線的位置和滑動速度是由主動輪轉角確定,使用齒輪線位移和角位移作為廣義坐標,因此這樣的模型可適用于斜齒輪傳動繫統的變速過程分析,而且在該模型中,齒麵摩抆力是用變摩抆繫數穫得的。選擇一對斜齒輪對其加速過程進行數值計算,併與採用定摩抆繫數和不攷慮摩抆的計算結果在時域和魏格納分佈上進行對比分析,結果髮現:摩抆會降低斜齒輪傳動繫統齣現脫齧現象的臨界轉速,且具有阻尼和激勵的雙重作用,能改變斜齒輪傳動的動力學響應,而且採用變摩抆繫數或定摩抆繫數所穫得的動力學響應也有所不同。
건립료함치면마찰적평행축사치원주치륜전동변속과정동역학모형,재건립모형시,접촉선적위치화활동속도시유주동륜전각학정,사용치륜선위이화각위이작위엄의좌표,인차저양적모형가괄용우사치륜전동계통적변속과정분석,이차재해모형중,치면마찰력시용변마찰계수획득적。선택일대사치륜대기가속과정진행수치계산,병여채용정마찰계수화불고필마찰적계산결과재시역화위격납분포상진행대비분석,결과발현:마찰회강저사치륜전동계통출현탈교현상적림계전속,차구유조니화격려적쌍중작용,능개변사치륜전동적동역학향응,이차채용변마찰계수혹정마찰계수소획득적동역학향응야유소불동。
A dynamic model for a parallel-axis helical gears system was proposed containing friction between contact teeth,it could be used in its dynamic analysis of variable speed process.In this model,the position of the contact line and sliding velocity were determined with the angular displacement of the driving gear,and the translational displacements and angular displacements of gears were taken as generalized coordinates,so the model could be used to analyze the variable speed process of the gear transmission system.Furthermore,the friction was calculated with the variable friction coefficient.The accelerating process of an example was numerically simulated with the model proposed here and the dynamic responses were compared with those using a model utilizing constant friction coefficient and a model without friction.The comparison showed that the friction lowers the critical speed of meshing aparting of the gear system and has effects of damping and excitation,it affects the dynamic responses of the gear system;moreover,the variable friction coefficient and the constant friction coefficient have different effects on the dynamic responses of the gear system.