摘要
从简单结构的动力学本构出发,采用摄动理论对基于结合面的机床整机动力学特性进行了分析,指出了结合面的参数变化对整体质量、刚度和阻尼矩阵的影响.通过对比摄动前后刚度和阻尼矩阵的变化,阐述了在整体刚度矩阵摄动下机床动态性能的变化规律,并对动梁式龙门机床进行了特征值的灵敏度分析和定量化动态优化设计,指出了4个结合面刚度对机床固有频率的影响程度,获得了将机床第1阶固有频率从29 Hz提高到35 Hz所需的导轨结合面的确定刚度值.有限元仿真结果表明,特征值一阶摄动法的误差在5%以内,从而为机床结合面的定量化设计提供了理论依据.
With the dynamic constitutive equation of sample structure,perturbation theory is employed to analyze the dynamic characteristics of machine tool based on joint interface,and the influence of the joint interface variation on mass,stiffness and damping matrix is indicated.The influence of machine tool dynamic performance under the perturbation of stiffness is presented with the comparison of the varying stiffness and damping matrices before and after perturbation.Sensitivity analysis of eigenvalue and quantitative optimization design for a beam-moving-type machine tool is carried out,and the impact of the four joint interfaces stiffness to the natural frequency is pointed out and the definitive stiffness value of the guideway joint,which can prompt the machine tool first-order natural frequency from 29 Hz to 35 Hz,is gained.Finite element analysis shows that the error of first-order eigenvalue perturbation method is limited within 5%.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2010年第1期96-99,共4页
Journal of Xi'an Jiaotong University
基金
国家重点基础研究发展规划资助项目(2009CB724407)
教育部博士点基金资助项目(20070698108)
关键词
摄动
定量化设计
结合面
perturbation
quantitative design
joint interface
