• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2017, Vol. 53 ›› Issue (9): 108-115.doi: 10.3901/JME.2017.09.108

• • 上一篇    下一篇

一种机床参数及其区间变化范围的主动设计方法*

王磊, 杨磊, 赵万华, 卢秉恒   

  1. 西安交通大学高端制造装备协同创新中心 西安 710049
  • 出版日期:2017-05-05 发布日期:2017-05-05
  • 作者简介:

    王磊,男,1982年出生,博士。主要研究方向为高速机床整机集成技术。

    E-mail:wlei292@163.com

    赵万华(通信作者),男,1965年出生,博士,长江学者特聘教授,博士研究生导师。主要研究方向为机电集成技术。

    E-mail:whzhao@mail.xjtu.edu.cn

  • 基金资助:
    * 国家自然科学基金(51605374)资助项目; 20160521收到初稿,20161108收到修改稿;

An Active Design Method for CNC Machine Structure Parameters and it`s Interval Variation Considering Natural Frequency

WANG Lei, YANG Lei, ZHAO Wanhua, LU Bingheng   

  1. Collaborative Innovation Center of High-End Manufacturing Equipment,Xi’an Jiaotong University, Xi’an 710049
  • Online:2017-05-05 Published:2017-05-05

摘要:

以机床结构固有频率变化范围可控为目的,提出一种机床参数及其变化范围的主动设计方法,实现了系统结构参数允许变化范围的快速计算。首先,将动结合部刚度参数变化以区间数表达,给出了机床结构参数敏感性区间的计算方法以及准确预估固有频率变化范围的计算方法;然后,根据预先给定系统期望的振动模态及分布,采用区间数学运算法则将机床参数的主动设计最终归结为求取目标函数的全局优化问题,确定了系统结构参数的允许变化范围;最后,通过一个两轴耦合进给系统验证了所提出方法的可行性。

关键词: 结合部, 区间参数, 优化, 主动设计, 数控机床

Abstract:

:Prediction of machine dynamics at the design stage is a challenge due to the time-varying configuration, the axis coupling forces and the lack of adequate methods for handling the nonlinearities change of joints. A active design method is proposed for the purpose of the change controlled of CNC machine natural frequency: the nonlinear rigidity parameters of joints are expressed by the interval parameters, and an interval sensitivity method is presented to calculate the machine tool parameter; an accurate calculation method for prediction the change interval of the dynamic properties is set up, which provide a better understanding of the system dynamics; according to the desired vibration mode and their distribution of given system, an interval algorithm and the global optimization algorithm are introduced in the design process and used to determine the allowable variation range of some critical stiffness parameters. Two cases study are conducted to verify the reliability and effectiveness.

Key words: active design, interval parameter, joints, optimization, CNC machine