宽斜齿轮多目标修形优化设计  

Multi-Objective Optimal and Modified Design for Wide Helical Gear

作　　者：蒋进科[1] 方宗德[1] 苏进展[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《西安交通大学学报》2014年第8期91-97,共7页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51175423)

摘　　要：通过理论齿面叠加修形曲面方法来设计斜齿轮修形齿面,根据齿轮接触分析、承载接触分析计算得到承载变形、接触线上的离散载荷及啮合刚度,应用弹流润滑剂理论确定离散点的局部摩擦系数,并通过Blok闪温公式获得齿面闪温,建立斜齿轮啮合型弯-扭-轴-摆10自由度动力学模型;以承载传动误差幅值、齿面闪温最小、齿面载荷均匀及振动加速度最小为目标,通过改进的粒子群优化算法确定了最佳修形齿面。结果表明:修形后齿轮副重合度增加,载荷均匀,齿面闪温分布明显改善;随转速、载荷的增加,啮合冲击逐渐增大,且随转速增加,啮合冲击激励较刚度激励的振动更加明显,因此共振的敏感性降低,多载荷承载传动误差幅值反映了振动随载荷变化趋势;修形后传动误差幅值、啮合冲击降低,因此有效降低了系统振动。Multi-objective optimal design method according to the minimum amplitude of loaded transmission error（LTE）,flash temperature,loads sharing and minimum vibration is proposed to improve performance of high speed and heavy-duty wide helical gears.The modified tooth surfaces are represented by a sum of two vector functions determining the theoretical tooth surface and the deviations surface.The deformation,meshing stiffness and discrete loads on contact line of gears are achieved by tooth contact analysis and loaded tooth contact analysis,and the discrete local friction coefficient is determined with elastohydrodynamic lubrication,so discrete temperature is sought out following the Blok flash temperature formula,and a 10-DOF helical gears vibration model considering excitations of time-varying meshing stiffness and corner meshing impact is established.An improved algorithm is adopted to optimize the curve parameters to obtain the best deviation surface.The results show that more uniform load distribution,lower flash temperature and improved contact ratio are realized; the corner meshing impact increases with increasing loads and rotating speeds,the system vibration gets more sensitive to the latter than the former,so the resonance sensibility is dulled,the LTE amplitude under multi-loads reflects the varying trend.

关 键 词：宽斜齿轮 修形 闪温 载荷均匀 承载传动误差 振动 

分 类 号：TH132[机械工程—机械制造及自动化]