机械工程学报
機械工程學報
궤계공정학보
CHINESE JOURNAL OF MECHANICAL ENGINEERING
2009年
7期
7-15
,共9页
齿轮%齿侧间隙%时变啮合刚度%静态传动误差%试验
齒輪%齒側間隙%時變齧閤剛度%靜態傳動誤差%試驗
치륜%치측간극%시변교합강도%정태전동오차%시험
Gear Clearance Time-varying stiffness Static transmission error Experiment
为了模拟工程应用中齿轮-转子系统的动态响应,考虑齿侧间隙、时变啮合刚度、静态传动误差、不平衡质量和弹性转轴的影响,建立齿轮一转子耦合系统的动力学模型.对动力学方程进行数值仿真,研究转速对动态响应的影响、齿侧间隙的变化对振幅跳跃现象的影响规律和转速与动态啮合力之间的关系.研究结果表明,随着齿侧间隙的增大,齿轮-转子系统的振幅跳跃现象变得更明显.振动加速度的频谱图主要包括啮合频率及其高次谐波.随着转速的逐渐升高,1倍频的振幅也逐渐增大,并且在啮合频率及其高次谐波附近还会出现边频带.动态啮合力的频谱图与动态响应的频谱图类似.对一个齿轮-转子试验台进行理论计算和试验测试,试验数据基本上验证对试验台的理论计算结果,试验测量结果和数值仿真之间的差别主要来源于建模误差和测量误差.
為瞭模擬工程應用中齒輪-轉子繫統的動態響應,攷慮齒側間隙、時變齧閤剛度、靜態傳動誤差、不平衡質量和彈性轉軸的影響,建立齒輪一轉子耦閤繫統的動力學模型.對動力學方程進行數值倣真,研究轉速對動態響應的影響、齒側間隙的變化對振幅跳躍現象的影響規律和轉速與動態齧閤力之間的關繫.研究結果錶明,隨著齒側間隙的增大,齒輪-轉子繫統的振幅跳躍現象變得更明顯.振動加速度的頻譜圖主要包括齧閤頻率及其高次諧波.隨著轉速的逐漸升高,1倍頻的振幅也逐漸增大,併且在齧閤頻率及其高次諧波附近還會齣現邊頻帶.動態齧閤力的頻譜圖與動態響應的頻譜圖類似.對一箇齒輪-轉子試驗檯進行理論計算和試驗測試,試驗數據基本上驗證對試驗檯的理論計算結果,試驗測量結果和數值倣真之間的差彆主要來源于建模誤差和測量誤差.
위료모의공정응용중치륜-전자계통적동태향응,고필치측간극、시변교합강도、정태전동오차、불평형질량화탄성전축적영향,건립치륜일전자우합계통적동역학모형.대동역학방정진행수치방진,연구전속대동태향응적영향、치측간극적변화대진폭도약현상적영향규률화전속여동태교합력지간적관계.연구결과표명,수착치측간극적증대,치륜-전자계통적진폭도약현상변득경명현.진동가속도적빈보도주요포괄교합빈솔급기고차해파.수착전속적축점승고,1배빈적진폭야축점증대,병차재교합빈솔급기고차해파부근환회출현변빈대.동태교합력적빈보도여동태향응적빈보도유사.대일개치륜-전자시험태진행이론계산화시험측시,시험수거기본상험증대시험태적이론계산결과,시험측량결과화수치방진지간적차별주요래원우건모오차화측량오차.
In order to simulate the dynamic response of geared rotor systems used in engineering application, the effect of clearance, time-varying mesh stiffness, static transmission error, unbalance mass and flexible shaft are considered, and the dynamic model of geared rotor system is derived. Numerical integration method is used to study the dynamic responses of the system. The effect of speed on the dynamic response, the effect of clearance on jump phenomena of amplitude, the relationship between rotational speed and dynamic mesh force are investigated. The results show that the jump phenomenon of amplitude becomes more obvious with the increase of clearance. The spectrum of vibration acceleration mainly includes the mesh frequency and its high order harmonic. With the gradual increase of speed, the amplitude of one time frequency also increases, and the sidebands of mesh frequency and high order harmonic occur. The spectrum of dynamic mesh force is similar to that of dynamic response. The theoretical calculation and experimental measurement of a geared rotor test-bed are performed, the calculation results are validated by the experiment data basically, and the difference between calculation results and experimental data is mainly from modeling error and measurement error.