中文摘要：

为了能够更加有效地改善数控铣床的动静态特性,采用试验设计与数理统计相结合的方法对XK719数控铣床进行了结构尺寸优化。对数控铣床整机采用拉丁超立方试验设计方法进行采样,在此基础上运用移动最小二乘法对采样点进行拟合,以构造近似函数;对近似函数采用自适应响应面法进行优化;通过25次迭代,在数控铣床整机质量变化不超过3%的情况下,实现了整机1阶固有频率提高16.3%,2阶固有频率提高13%。结果表明：该方法能够实现机床的快速优化设计。

英文摘要：

In order to improve the dynamic and static characteristics of computer numerical control（ CNC） milling machine more effectively,the combination of experimental design and mathematical statistics method was adopted for the structure size optimization of XK719 CNC milling machine. The CNC milling machine using Latin hypercube experimental design method to the sampling,on the basis of using the moving least-square method to fitting the sample point,the approximation function was constructed. The approximate function was optimized by using the adaptive response surface method. By 25 iterations,under the condition that changes in mass of CNC milling machine was less than 3%,the first order natural frequency was implemented to increase 16. 3%,and the second order frequency to increase 13%. The results show that the method can implement for the rapid optimal design of machine tool.