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基于多体理论的数控机床精度逆设计方法
引用本文:邢 元,张连洪,何柏岩,王树新. 基于多体理论的数控机床精度逆设计方法[J]. 农业机械学报, 2014, 45(3): 282-287
作者姓名:邢 元  张连洪  何柏岩  王树新
作者单位:天津大学;天津大学;天津大学;天津大学
基金项目:国家自然科学基金资助项目(50875182)和机构理论与装备设计教育部重点实验室开放课题资助项目
摘    要:为使机床精度设计有定量的理论数值供参考,依据线性空间集合与映射的数学理论,以多体系统误差建模理论为基础,建立了机床几何误差综合作用时的产品加工质量近似模型。运用蒙特卡罗法对满足加工精度要求的产品进行关键参数数据抽样,从而依据近似模型逆向推导数控机床各轴几何精度。以螺旋锥齿轮铣齿机各轴精度逆设计为例,近似模型以显式的方式揭示了机床几何误差和齿面加工误差间的定量关系,可有效地依据齿轮精度要求逆向推导机床各轴几何精度。

关 键 词:多体理论 数控加工 几何精度 加工精度 逆设计
收稿时间:2012-12-18

Precision Reverse Design of Numerical Controlled (NC) Machine on the Basis of Multibody Theory
Xing Yuan,Zhang Lianhong,He Baiyan and Wang Shuxin. Precision Reverse Design of Numerical Controlled (NC) Machine on the Basis of Multibody Theory[J]. Transactions of the Chinese Society for Agricultural Machinery, 2014, 45(3): 282-287
Authors:Xing Yuan  Zhang Lianhong  He Baiyan  Wang Shuxin
Affiliation:Tianjin University;Tianjin University;Tianjin University;Tianjin University
Abstract:Usually machine geometry precision design is preformed depending on human experience but not reference data form design theory. To learn numerical effect an approximate model of relationship between machine geometry precision and product machining precision is provided based on multibody theory. The analysis results by Monte Carlo sampling would deduce geometry precision of each axis in machine. Taking geometry precision design of spiral bevel gear milling machine as an example, the approximate model well explains effect of machine geometry error on gear product surface machining quality by explicit. Then geometry precision of each axis is obtained by mapping from tooth surface machining precision.
Keywords:Multibody theory NC machining Geometry precision Machining precision Reverse design
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