基于Ritz级数的滚珠丝杠驱动系统建模与振动研究

doi:10.16182/j.issn1004731x.joss.201710006

系统仿真学报 ›› 2017, Vol. 29 ›› Issue (10): 2268-2275.doi: 10.16182/j.issn1004731x.joss.201710006

基于Ritz级数的滚珠丝杠驱动系统建模与振动研究

钱荣荣^1,2,3, 骆敏舟³, 赵江海³, 李涛³, 李露³

1.中国航发商用航空发动机有限责任公司,上海 200241;
2.上海商用飞机发动机工程技术研究中心,上海 200241;
3.中国科学院合肥物质科学研究院先进制造技术研究所,江苏常州 213164

收稿日期:2015-10-10 发布日期:2020-06-04
作者简介:钱荣荣(1988-),女,安徽,博士,研究方向为精密伺服控制。
基金资助:
国家自然科学基金(51405469),上海市科技创新行动计划基础研究领域项目(15JC1404200)

Modeling and Dynamic Research Based on Ritz Series for Ball Screw Drive System

Qian Rongrong^1,2,3, Luo Minzhou³, Zhao Jianghai³, Li Tao³, Li Lu³

1. AECC Commercial Aircraft Engine Co., LTD, Shanghai 200241, China;
2. Shanghai Engineering Research Center of Civil Aero Engine, Shanghai 200241, China;
3. Institute of Advanced Manufacturing Technology, Hefei Institute of Physical Science, Chinese Academy of Sciences, Changzhou 213164, China

Received:2015-10-10 Published:2020-06-04

摘要/Abstract

摘要： 通过有限元分析建立滚珠丝杠驱动系统模型,分析系统的模态与振型,基于该振型结果且考虑丝杠导程对系统动态特性的影响,提出一种基于混合基函数的Ritz级数法,将该方法用于系统的轴向和扭转振动分析中,并建立基于Ritz级数的滚珠丝杠驱动系统运动方程。通过数值仿真分析,给出了工作台在不同位置下的模态特性与振型变化,仿真结果表明工作台的位置变化对系统的轴向振动影响较大,对扭转振动影响较小。实验结果表明所提的建模方法能够准确预测系统的振动特性。

关键词: 滚珠丝杠驱动系统, 振动, 有限元分析, 混合基函数, 建模

Abstract: To analyze the vibration performance of the ball screw drive system, the finite element model (FEM) of the simplified system by Ansys/Workbench was given to acquire the vibration mode and shape. Based on the vibration shape calculated from FEM, a set of hybrid basis function was used to generate the new Ritz series for building the system motion equation of the axial and torsional vibration. The pitch of the ball screw was considered in the method. A mathematical model which was easy to design the controller was developed. Through the numerical simulation, the modal characteristics and shape of system under the circumstance of different worktable locations were given. The results reveal that the location of the worktable has a large influence on the axial mode and less effect on the torsional vibration. The experiment result shows that the proposed modeling method can accurately predict the vibration characteristics for the ball screw drive system.

Key words: ball screw drive, vibration, finite element analysis, hybrid basis function, modeling

中图分类号:

TP391.9

钱荣荣, 骆敏舟, 赵江海, 李涛, 李露. 基于Ritz级数的滚珠丝杠驱动系统建模与振动研究[J]. 系统仿真学报, 2017, 29(10): 2268-2275.

Qian Rongrong, Luo Minzhou, Zhao Jianghai, Li Tao, Li Lu. Modeling and Dynamic Research Based on Ritz Series for Ball Screw Drive System[J]. Journal of System Simulation, 2017, 29(10): 2268-2275.

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基于Ritz级数的滚珠丝杠驱动系统建模与振动研究

Modeling and Dynamic Research Based on Ritz Series for Ball Screw Drive System

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