机床基础振动的动力学特性

Dynamical characteristics of foundation vibration of machine tool

通过对机床与基础为弹性连接的机床基础振动进行数学建模,运用Runge-Kutta-Felhberg算法对其进行数值计算,研究分析基础系统在不同激励幅值和频率比条件下的动力学特性,发现系统响应与激励幅值成正比.当频率比小于1时,随着频率比的逐渐增大,系统响应极限环逐渐增大;当频率比等于1时,极限环最大;当频率比大于1时,随着频率比的逐渐增大,极限环逐渐缩小为焦点.由此证明,采用弹性连接的方式来固定机床与基础,具有良好的减振效果.

By means of mathematically modeling for the machine tools flexibly connected with their foundation and performing numeric computation with the algorithm of Runge-Kutta-Felhberg, the dynamical characteristics of the machine tool foundation system were investigated and analyzed for different stimulus amplitude and frequency ratio. It was found that the system＇s response was roughly proportional to the stimulus amplitude, for the frequency ratio less than 1, the extreme limit wreath （ELW） of system＇s re- sponse was gradually aggrandized with increasing of the frequency ratio, the maximum ELW was located at the frequency ratio equal to 1, and then the EI.W diminished gradually to focus with increasing of the frequency ratio greater than 1. It was consequently verified that the method of flexible connection of machine tools with their foundation could exhibit a good damping effect.