振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
2期
9-13,19
,共6页
人字齿轮%修形%振动%优化%轴向位移
人字齒輪%脩形%振動%優化%軸嚮位移
인자치륜%수형%진동%우화%축향위이
double helical gear%modification%vibration%optimal design%axial displacement
通过理论齿面与修形曲面叠加设计人字齿轮修形齿面,结合 TCA (Tooth Contact Analysis)、LTCA (Loaded Tooth Contact Analysis)技术,综合考虑轮齿刚度、轴向窜动及啮合冲击激励,建立人字齿轮啮合型弯-扭-轴-摆10自由度动力学模型。以 LTE (Loaded Transmission Error)幅值、轴向力及振动加速度最小为目标,通过优化确定最佳修形齿面。研究表明,轴向窜动与修形可共同改善齿面载荷分布;转速增加啮合冲击激励较刚度激励、轴向窜动激励振动更明显,刚度激励与冲击激励为引起啮合线方向振动的主要原因,而轴向位移激励对啮合线方向振动无影响;轴向位移激励为引起轴向、扭摆方向振动的主要原因;修形可降低啮合冲击、轴向窜动量、轮齿刚度及刚度波动,能有效降低系统振动。
通過理論齒麵與脩形麯麵疊加設計人字齒輪脩形齒麵,結閤 TCA (Tooth Contact Analysis)、LTCA (Loaded Tooth Contact Analysis)技術,綜閤攷慮輪齒剛度、軸嚮竄動及齧閤遲擊激勵,建立人字齒輪齧閤型彎-扭-軸-襬10自由度動力學模型。以 LTE (Loaded Transmission Error)幅值、軸嚮力及振動加速度最小為目標,通過優化確定最佳脩形齒麵。研究錶明,軸嚮竄動與脩形可共同改善齒麵載荷分佈;轉速增加齧閤遲擊激勵較剛度激勵、軸嚮竄動激勵振動更明顯,剛度激勵與遲擊激勵為引起齧閤線方嚮振動的主要原因,而軸嚮位移激勵對齧閤線方嚮振動無影響;軸嚮位移激勵為引起軸嚮、扭襬方嚮振動的主要原因;脩形可降低齧閤遲擊、軸嚮竄動量、輪齒剛度及剛度波動,能有效降低繫統振動。
통과이론치면여수형곡면첩가설계인자치륜수형치면,결합 TCA (Tooth Contact Analysis)、LTCA (Loaded Tooth Contact Analysis)기술,종합고필륜치강도、축향찬동급교합충격격려,건립인자치륜교합형만-뉴-축-파10자유도동역학모형。이 LTE (Loaded Transmission Error)폭치、축향력급진동가속도최소위목표,통과우화학정최가수형치면。연구표명,축향찬동여수형가공동개선치면재하분포;전속증가교합충격격려교강도격려、축향찬동격려진동경명현,강도격려여충격격려위인기교합선방향진동적주요원인,이축향위이격려대교합선방향진동무영향;축향위이격려위인기축향、뉴파방향진동적주요원인;수형가강저교합충격、축향찬동량、륜치강도급강도파동,능유효강저계통진동。
A method based on the minimization of LTE amplitude,axis force and vibration were proposed to reduce the vibration of double helical gears.The modified tooth surfaces were represented by the sum of two vector functions, describing respectively the theoretical tooth surface and the deviation surface.A 10-DOF vibration model was established considering the excitations of time-varying meshing stiffness,corner meshing impact and axial motion based on TCA and LTCA.An improved algorithm was applied to optimize the parameters of modified pinion for getting the best performance. The results show that the loads will tend to be uniform when taking the measures of gear modification and axial motion. Besides,torsional vibration mainly results from corner meshing impact and meshing stiffness excitation which have little effect on axial vibration.The axial motions excitation contribute to both axial and swing vibrations.In brief,the vibration decreases greatly because of smaller excitations by modified double helical gears.