为了研究双驱动进给系统的动态特性，本文利用能量法建立了双驱动进给系统多自由度模型。该方法考虑了丝杠螺母副，支撑轴承及直线滚动导轨结合面参数的影响。根据拉格朗日方程推导了双驱动进给系统的刚度，质量矩阵，工作台的位移计算公式。数值仿真计算出系统的固有频率，并对其影响规律进行了进一步分析。研究表明系统轴向刚度、工作台的质量和位置是影响一阶固有频率的主要因素，增大丝杠跨距可以抑制工作台的扭转振动。实验结果表明该动力学模型能够准确地反映系统的动态特性。
Abstract
In order to study the dynamic characteristics of the dual drive feed system, the multi degree of freedom model of the system is established by using the energy method. The method considers the influence of the screw nut pair, the support bearing and the linear rolling guide rail with the parameters of the joint surface. According to the Lagrange equation, the stiffness, mass matrix and displacement formula of the double drive feed system are derived. The natural frequency of the system is calculated by numerical simulation, and the influence of the system is analyzed. The research shows that the axial stiffness of the system, the quality and position of the working table are the main factors affecting the first order natural frequency. The distance between the screws can be increased, the torsional vibration of the working table can be suppressed. The experimental results show that the dynamic model can accurately reflect the dynamic characteristics of the system.
关键词
双驱动进给系统 /
滚珠丝杠；动态建模 /
轴向刚度
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Key words
Dual-drive system /
ball screw；Dynamic model /
axial stiffness
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