摘要
提出螺旋锥齿轮刀倾展成法运动学转换模型,以一组4阶麦克劳林公式近似地表达刀倾法加工时的各轴运动。为了满足加工仿真的实时化要求,获得转换矩阵n阶导数的近似表达式。通过实例,对比简化公式和原公式的时间消耗。基于简化公式,设计一个虚拟齿轮加工软件。根据一套实际加工设计参数,在虚拟加工系统中生成了齿轮零件,并与实际生产的齿轮进行对比。所提出的简化矩阵导数公式及其方法可以推广到空间运动学的其他领域。
The kinematics transform model between two machines about tilt generated method is built. Motions of axes when using tilt method are approximately represented with a group of 4th-order Maclaurin formula. To feed the need of real-time for generated simulation, the simplified representations of n-th transform matrix derivatives are achieved through the clear derivation of equations. The assessment of time consumption between the simplified equations and the unhandled ones is made with an example. Based on the reduced equations, a virtual software which can simulating the gear generation process is designed. A set of practical gear parameters is presented as an example. A virtual gear, which is made by the simulation software with the given parameters, is compared to the real gear. Errors of the approximate formula are presented with the several figures. Based on the correct building of virtual software, precise gear solid model can be got for the tooth contact analysis （TCA）, virtual machining experiment, and other deep researches. The reduced matrix derivative equations and its methodology could be spread to the whole spatial kinematics.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2008年第3期123-129,共7页
Journal of Mechanical Engineering
基金
国家自然科学基金(50475117)
天津市应用基础研究计划(05YFJZJC01800)资助项目。
关键词
刀倾法
五轴加工
运动学
螺旋锥齿轮
Tilt method Five-axis machining Kinematics Spiral bevel and hypoid gears
