摘要
为研究双驱进给系统的固有频率,将连续的系统简化成多自由度系统,并建立进给系统的广义坐标系。考虑了导轨滑块、轴承内外圈、丝杠和螺母接触面参数等对固有频率的影响,运用能量法建立了进给系统动能、势能表达式。借助拉格朗日方程推导得到系统质量矩阵和刚度矩阵,利用MATLAB软件对矩阵进行求解计算。搭建模态测试试验台,锤击实验结果与建模求解结果误差<10%,验证了建模方法的有效性。研究结果为机床进给系统的动态特性研究提供新的思路。
To make a study of the natural frequency of the double screw drive system, this paper simplifies the system into a multi degree of freedom system, and establishes the generalized coordinate system of the feed system. The influence of the contact surface parameters of the guide rail and the slider, the inner and outer ring of the bearing, the lead screw and the nut on the natural frequency is considered. The kinetic energy and potential energy expression of the feed system are established by using energy method. The mass matrix and stiffness matrix are deduced by Lagrange equation, and the matrix is solved by MATLAB. A modal test platform is built, and the error between the experimental results and the modeling results is <10%. The research results, show the validity of the modeling method. The new ideas are provided for the study of the dynamic characteristics of the machine tool feed system.
作者
戴新泽
胡小秋
周义成
DAI Xinze;HU Xiaoqiu;ZHOU Yicheng(School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China)
出处
《机械制造与自动化》
2019年第5期85-87,109,共4页
Machine Building & Automation
基金
国家科技重大专项(2015ZX04014021)
关键词
机床
双驱动进给系统
动力学建模
固有频率
刚度特性
machine tool
double screw drive feed system
dynamic modeling
natural frequency
stiffness characteristics
