基于MSTMM的超精密飞切机床动态特性分析

Dynamic Analysis of Ultra-precision Fly Cutting Machine Tool Based on MSTMM

采用集中质量法建立超精密飞切机床的动力学模型,基于多体系统传递矩阵法推导了系统总传递方程。根据模态试验数据,以相对误差最小为目标,运用自适应遗传算法识别动力学模型中铰的线刚度与角刚度参数;采用MSTMM对机床动态特性进行求解。通过比较计算结果与试验结果,除第7阶外,前18阶频率的相对误差均<5%,证实了模型的准确性与方法的可行性;对比有限元计算方法,效率提升了近70倍。

The dynamic model of the ultra-precision fly cutting machine tool was established by lumped mass method,and the transfer matrix method for multibody systems was employed to derive the total transfer equation of the system.According to the modal test data,a self-adjusting genetic algorithm was adopted to identify the linear and angular stiffness parameters of the hinges in the dynamic model at the aim of minimizing the relative errors.The dynamic characteristics of the UFCMT were solved by MSTMM.The comparison of the computed results with the tested results show that the relative errors of the first 18 frequencies are less than 5%except the seventh one,which verifies the correctness and feasibility of the method.And to compare with the finite element method,computational efficiency of the proposed method is 70 times higher.