摘要
滚珠丝杠作为数控机床的重要传动部件,由于柔性体滚珠丝杠的刚度分布和惯性,工作台在导轨的位置变化引起共振频率是变化的。其中工作台位于丝杠中间位置是最薄弱的环节,引起系统的共振会影响工件的加工精度。文章以"宏宏双驱动"机构为研究对象,建立双驱动系统的力学模型。根据动力学理论建立系统的动能和势能的力学方程式,建立整体系统的拉格朗日函数式,利用Ritz级数展开法对滚珠丝杠部分进行展开,得到系统的刚度矩阵和质量矩阵,并利用Matlab对系统进行了仿真。结果表明:利用Ritz级数离散的柔性体滚珠丝杠的建模分析的双驱动系统的可行性,并得到系统的前三阶固有频率。
Ball screw as an important transmission parts of CNC machine tools, due to the distribution of flexible ball screw stiffness and inertia, the work platform changes in the position of the track will cause the resonance frequency is changing. The workbench is located in the middle of the screw position is the weakest link, causing the system＇s resonance will affect the machining accuracy of the workpiece. In this paper, ＂Hong-hong dual-drive＂ mechanism as the research object, the establishment of dual-drive mechani- cal model. Based on the kinetic theory, the mechanical equations of kinetic energy and potential energy of the system are established. The Lagrangian function of the whole system is established. The Ritz series ex- pansion is used to expand the ball screw. The stiffness matrix and mass matrix of the system axe obtained, and the system is simulated by Matlab. The results show that the feasibility of dual drive system using Ritz series discrete flexible ball screw modeling, and get the first three natural frequencies of the system.
作者
孙德鹏
李沛刚
冯显英
岳明君
杜付鑫
SUN De-peng;LI Pei-gang;FENG Xian-ying;YUE Ming-jun;DU Fu-xin(School of Mechanical Engineering,ShanDong University,Jinan 250061,China)
出处
《组合机床与自动化加工技术》
北大核心
2018年第11期54-56,61,共4页
Modular Machine Tool & Automatic Manufacturing Technique
基金
国家自然科学基金项目(51375266)
山东省重点研发计划(2015GGX103036)
