基于多体系统理论的精密立式加工中心精度建模与预测

吉林大学学报(工学版) ›› 2012, Vol. 42 ›› Issue (02): 388-391.

基于多体系统理论的精密立式加工中心精度建模与预测

刘志峰, 刘广博, 程强, 玄东升, 蔡力钢

北京工业大学机械工程与应用电子技术学院, 北京 100124

收稿日期:2011-04-15 出版日期:2012-03-01 发布日期:2012-03-01
通讯作者: 程强(1979-),男,讲师.研究方向:产品设计方法学.E-mail:hgdchengqiang@126.com E-mail:hgdchengqiang@126.com
作者简介:刘志峰(1973-),男,副教授.研究方向:CAE,机械传动,精密加工.E-mail:lzf@bjut.edu.cn
基金资助:
国家重大科技专项项目(2009ZX04001-024,2010ZX04001-041),国家自然科学基金项目(51005003, 51075006).

Precision modeling and prediction of precise vertical machining center based on theory of multi-body system

LIU Zhi-feng, LIU Guang-bo, CHENG Qiang, XUAN Dong-sheng, CAI Li-gang

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China

Received:2011-04-15 Online:2012-03-01 Published:2012-03-01

摘要/Abstract

摘要： 为了对机床加工精度进行事先预测并验证设计方案的合理性,分析了几何误差因素,基于多体系统理论建立了精密立式加工中心的精度预测模型。用拓扑结构和低序体阵列描述了多体系统间的关联性。基于齐次变换矩阵描述体与体之间的坐标变换关系,推导出多体系统中任意两相邻体之间各种运动的特征矩阵和相对运动方程,最终建立了精密立式加工中心精度预测模型,并以模拟加工典型试件为基础,实现了对机床的精度预测。预测分析表明,基于多体系统的精度建模可以有效抽象地描述精密立式加工中心的系统结构,并实现加工精度的合理预测,为机床设计方案的改进及精度分配提供了重要的依据。

关键词: 机械设计, 精度设计, 多体系统, 精度建模, 精度预测

Abstract: In order to predict the machining precision of the machine tool and validate its design concept, the geometric errors of a precise vertical machining center were analyzed, and its precision prediction model was established based on the multi-body system theory. The correlations among the multi-bodies were described with the topology structure and the low-order body array. The coordinate transformation relationships between multi-bodies were described based on the homogeneous transformation matrix. The characteristic matrix and the relative motion equations of the motions between 2 arbitrary adjacent objects of the multi-body system were derived. A precision prediction model was built for the precise vertical machining center. Based on the simulated machining of a typical workpiece, the precision prediction of the machine tool was realized. The results showed that the proposed precision model can describe the systemic structure of the vertical machining center effectively and abstractively, predict the machining precision reasonably, provide a basis for the improvement of the machine tool design concept and the precision deployment.

Key words: mechanical design, precision design, multi-body system, precision modeling, accuracy prediction

中图分类号:

TH161

刘志峰, 刘广博, 程强, 玄东升, 蔡力钢. 基于多体系统理论的精密立式加工中心精度建模与预测[J]. 吉林大学学报(工学版), 2012, 42(02): 388-391.

LIU Zhi-feng, LIU Guang-bo, CHENG Qiang, XUAN Dong-sheng, CAI Li-gang. Precision modeling and prediction of precise vertical machining center based on theory of multi-body system[J]. 吉林大学学报(工学版), 2012, 42(02): 388-391.

参考文献

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[2] Kong L B, Cheung C F, To S, et al. A kinematics and experimental analysis of form error compensation in ultra-precision machining［J］. International Journal of Machine Tools & Manufacture,2008,48:1408-1419.

[3] Jung Ji-Hun,Choi Jin-Phil,Lee Sang-Jo. Machining accuracy enhancement by compensating for volumetric errors of a machine tool and on-machine measurement［J］. Journal of Materials Processing Technology,2006,174:56-66.

[4] 粟时平.多轴数控机床精度建模与误差补偿方法研究.长沙:国防科学技术大学,2002. Su Shi-ping. Study on the methods of precision modeling and error compensation for multi-axis CNC machine tools.Changsha: National University of Defense Technology,2002.

[5] 粟时平,李圣怡.五轴数控机床综合空间误差的多体系统运动学建模［J］.组合机床与自动化加工技术, 2003,5:15-21. Su Shi-ping, Li Sheng-yi. Modeling the volumetric synthesis error of 5-axis machine tools based on multi-Body system kinematics［J］. Modular Machine Tool & Automatic Manufacturing Technique,2003, 5:15-21.

[6] 刘国良,张宏韬,任永强,等.数控机床几何误差综合建模及其专家系统［J］.现代制造工程,2005(7):1-4. Liu Guo-liang, Zhang Hong-tao, Ren Yong-qiang,et al. Modeling principles and expert system for geometrical error synthesis model of NC machining centers［J］. Modern Manufacturing Engineering,2005(7):1-4.

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