人字齿轮减振修形优化设计  

Optimal design of minimum vibration for modified double helical gear

作　　者：蒋进科[1] 方宗德[1] 贾海涛[2] 

机构地区：[1]西北工业大学机电学院,西安710072 [2]中国船舶重工集团公司第703研究所,哈尔滨150036

出　　处：《振动与冲击》2015年第2期9-13,19,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51175423)和(51375384)

摘　　要：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。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.

关 键 词：人字齿轮 修形 振动 优化 轴向位移 

分 类 号：TH132[机械工程—机械制造及自动化]