节点文献
摆动活齿传动性能分析与设计研究
Performance Analysis and Design Research on Swing Movable Teeth Transmission
【作者】 宜亚丽;
【导师】 安子军;
【作者基本信息】 燕山大学 , 机械设计及理论, 2010, 博士
【摘要】 作为传递两同轴间回转运动的新型少齿差行星传动,摆动活齿传动以其结构新颖紧凑、传动比大、承载能力强和传动效率高等优点,确立了它在行星齿轮传动中的地位,在能源、通信、机床、交通、冶金、起重运输、化工、轻工及食品机械等行业中具有广泛的应用前景。作为一种新型传动型式,对其理论研究和实际应用方面尚不完善。本文从啮合理论、运动学、可靠性分析、优化设计、加工制造及性能测试等方面对摆动活齿传动进行了一系列系统、深入的研究。在对摆动活齿传动结构及传动特点研究的基础上,依据摆动活齿的啮合理论,分别利用复数矢量法和坐标变换法综合出摆动活齿传动中心轮的理论齿廓方程,从而确定中心轮的实际齿廓方程,并进行了齿廓仿真。对得到的摆动活齿相对角速度和角加速度变化曲线,分别进行了研究分析。推导出摆动活齿和中心轮齿面的滑动率计算公式,并生成变化规律曲线。对中心轮理论廓线的曲率和曲率半径进行了解析,并由此确定中心轮实际齿廓避免顶切条件约束。基于变形协调条件,建立了摆动活齿传动的受力分析模型,并对各构件作用在活齿上接触力的解析值进行求解。基于摆动活齿传动的低副等效机构,对其传动性能进行了研究分析,确定最小传动角位置。导出摆动活齿传动空回行程不自锁条件,并给出克服自锁的方案。结合摆动活齿传动的失效形式,分别确定出活齿与中心轮、激波器啮合副的接触应力计算方法。对摆动活齿传动进行模糊可靠性设计,基于模糊理论与可靠性设计方法,纳入机械传动中设计变量的随机性和模糊性,使摆动活齿传动的设计更加合理,贴近客观实际。利用模糊数学方法,通过模糊综合评判,确定了转臂轴承的模糊平均当量动载荷,并计算了转臂轴承的模糊可靠性寿命。综合考虑摆动活齿减速器的外型尺寸、共轭齿廓间的滑动率、强度的可靠性等结构及性能要求,确立约束条件方程,应用灰色聚类分析方法对摆动活齿减速器进行多目标优化设计。依据优化得到的最满意解,确定样机的结构设计参数。针对中心轮的齿形复杂性,提出了中心轮参数化的设计方法并进行了实体建模与虚拟装配。并对中心轮齿面进行了数字化加工。基于LabVIEW软件平台和NI公司相应硬件,通过相关法相位差测量算法获得扭转角大小,实现扭矩的测量;采用模块化软件设计,构建了一套摆动活齿传动性能自动测试系统,用以在线实时测试摆动活齿传动样机在不同工况下的传动性能。测试结果表明,摆动活齿传动设计结构合理,传动性能良好,构建的测试系统精确,大大提高了传动性能测试技术的自动化水平。
【Abstract】 As a novel planetary drive with small teeth difference which transmits two coaxial rotary motion, swing movable teeth transmission establish a place in planetary gear transmission with advantages such as novel structure, big transmission ratio, strong carrying capacity and high transmission efficiency. It has extensive application prospect in many industries. At present, theoretical study and practical application on swing movable teeth transmission is at infancy stage in our country. This paper carries on a series of in-depth and systemic theoretical study on engagement theory, kinematics, reliability theory, optimization design and manufacturing process.Based on the transmission structure and principle of swing movable teeth transmission, theoretical profile equation of central wheel is synthesized by methods of complex vector and coordinate transfer according to the engagement theory of swing movable teeth. Actual profile equation of central wheel is deduced and graph simulation is done. Angular velocity and acceleration variation curve of swing movable teeth are plotted and their variation rules are analyzed. Specific sliding of swing movable teeth is deduced and its variation curve is plotted. Curvature and radius of curvature of central wheel are solved and non end cutting conditions of actual profile of central wheel are deduced.Based on deformation compatibility condition, force analysis model of swing movable teeth transmission is established and arithmetic solution of contact force on movable teeth acted by other components is calculated. Transmission performance and minimum transmission angle position is analyzed by using of lower pair equivalent mechanism of swing movable teeth. Self-locking conditions of return stroke of swing movable teeth are deduced and methods to overcome self-locking are obtained. Contact strength of movable teeth and central wheel, movable teeth and shockwave generator, bending strength of output axis pin are deduced respectively according to failure type of swing movable teeth transmission and calculation instances are given.The strength fuzzy reliability of swing movable teeth transmission is researched. By using fuzzy theory and reliability design method to consider randomicity and fuzziness of design variables in mechanical transmissions, the reliability design of swing movable teeth transmission is more reasonable and objective. Fuzzy average equivalent dynamic load of arm bearing is calculated by using fuzzy mathematics method and fuzzy comprehensive evaluation. Fuzzy reliability life of arm bearing is calculated.Multi-objective optimized design of swing movable teeth reducer is executed. By considering product size of reducer, specific sliding of conjugate profiles and strength reliability, simultaneously constraint conditions, multi-objective optimized design of swing movable teeth reducer by application of grey clustering analysis method is executed. Structure parameter of prototype is determined according to most satisfaction solution obtained by optimization. Numerical control machining design of center wheel based on Pro/Engineer software is operated. Tooth flank milling of center wheel is implemented in NC milling machine.Based on LabVIEW software platform and corresponding hardware of NI company, with no-contact torque measurement technique,the torque detection is implemented through measuring the phase difference by correlation analysis algorithm. A set of automatic testing equipment adopting modularization software of swing movable teeth transmission is constructed to on-line test driving performance of swing movable teeth transmission at different operating modes. The testing result shows that the transmission has appropriate structure design and good driving performance. The testing system is of high precision and increases automatism level of original driving performance technology largely.
【Key words】 Swing movable teeth; Tooth profile characteristics; Transmission performance; Fuzzy reliability; Multi-objective optimization; Numerical design;