基于蒙特卡洛模拟法的并联划线装置划线轨迹的误差分析

邓嘉鸣; 秦娴; 沈惠平; 李菊; 孟庆梅; 蒋永健

doi:10.13433/j.cnki.1003-8728.2015.1105

基于蒙特卡洛模拟法的并联划线装置划线轨迹的误差分析

doi: 10.13433/j.cnki.1003-8728.2015.1105

1.
常州大学机械工程学院, 常州 213016

基金项目:

国家自然科学基金项目(51375062)与江苏省重大科技支撑与自主创新项目(BE2010061)资助

详细信息

作者简介:
邓嘉鸣(1963-),副教授,硕士,研究方向为机械设计、并联机器人,czdydjm@126.com

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- 文章访问数: 113
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- 被引次数: 0
出版历程
- 收稿日期: 2014-01-24
- 刊出日期: 2015-11-05

Error Analysis of Scribing Trajectory for Parallel Scribing Device Based on Monte-Carlo Simulation

1.
School of Mechanical Engineering, Changzhou University, Changzhou 213016, China

摘要

摘要: 提出了一种基于并联机构的划线装置。按运动学方程微分法和误差独立原理,建立单一影响因素下末端划线头的位置综合误差模型,并利用蒙特卡洛法对两种误差模型进行了模拟分析。结果表明:装置划线综合位置误差范围为0~7.5×10-3 mm,其中,仅考虑杆长误差时,综合位置误差范围为0~4×10-4 mm;仅考虑转动副间隙误差时,综合位置误差范围为6×10-5 mm~9.5×10-5 mm。划线综合位置误差受多个因素影响,但以驱动杆杆长误差影响较大,且并非简单地为各个因素的叠加;同时两种误差建模方法相结合的分析方法可全面系统地分析机构末端的综合误差。
- 并联划线装置 /
- 误差模型 /
- 蒙特卡洛模拟 /
- 误差分析
Abstract: A new kind of scribing device for parallel mechanism was put forward. The comprehensive position error models of the scribing head were established and analyzed. The Comprehensive position error model was established with the kinematics equation differential method and the position error model of the scribing head under the influence of each independent factor was established with the error independent principle method. Monte-Carlo method was used to simulate and analyze these two kinds of error models. The results showed that overall comprehensive error range of the position error model of the scribing device is 0~7.5×10-3 mm, and the position error model of the scribing head is 0~4×10-4 mm when only considering the influence of length error, 6×10-5 mm~9.5×10-5 mm when only considering the influence of rotation clearance error. It can be seen that the scribing comprehensive position error is influenced by multiple factors, especially driving rod length error largely, and comprehensive position error is not a simple superposition of each factor. This error analysis method, combining the two error modeling methods, can be comprehensively and systematically used to analyze comprehensive position error of the device's scribing head.
- computer simulation /
- design /
- efficiency /
- error analysis

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