摘要
传动链刚度是机床中滚珠丝杠驱动进给系统建模和辨识的关键。该文基于静力学平衡方程和变形协调条件,建立了新的丝杠传动链静刚度模型;结合丝杠两端边界条件,求解其集中载荷过程激励的二阶波动方程频域Fourier变换,建立了分离参数动刚度模型,统一了2种模型。静刚度模型、动刚度模型低频特性与静刚度模型的一致性、动刚度模型的高频特性均通过仿真和实验进行了验证。
The mechanical stiffness is the key to modeling of ball screw drive systems in machine tools.This paper presents a static stiffness model of a ball screw drive system based on the static equilibrium and the deformable coordination.The Fourier transform of the second order wave equation in the complex frequency domain for the exciting of a concentrated load was used in a distributed parameter dynamic model of the ball screw with different boundary conditions on the two ends.This static stiffness model was verified by simulations and experiments.The low frequency characteristics of the dynamic stiffness model accord with the static stiffness model result,while the high frequency characteristics of the dynamic stiffness model agree with frequency response data.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第5期601-606,共6页
Journal of Tsinghua University(Science and Technology)
基金
国家重大科学工程项目(ZX04002-021)
关键词
机床进给系统
丝杠传动链刚度
变形协调条件
分离参数
machine tool feed
ball screw drive stiffness
deformation compatibility
distributed parameter
