一种机床固定结合面形状的拓扑设计方法  

A design method of fixed joint contact area topology-based equivalent model for machine tools

作　　者：王磊[1,2] 刘海涛[1,2] 金涛 杜瑞[1,2] 赵万华[1,2] 

机构地区：[1]西安交通大学机械工程学院,陕西西安710049 [2]西安交通大学机械制造系统工程国家重点实验室,陕西西安710049

出　　处：《振动工程学报》2014年第4期481-487,共7页Journal of Vibration Engineering

基　　金：国家重点基础研究发展规划资助项目(973计划)(2009CB724406)

摘　　要：提出了一种考虑动力学特性的机床固定结合面形状的拓扑设计方法,将固定结合面实际接触区域的接触刚度模型等效为一种有限单元材料模型,给出了其材料等效模型——弹性模量及剪切模量的计算方法,并以此等效模型确定了固定结合面接触单元的刚度矩阵。采用渐进结构优化法进行固定结合部接触区域拓扑形状的优化设计,即采用删除准则,消除对总体固有频率贡献较小的接触区域材料,达到主动设计结合面实际接触区域的拓扑结构。通过车头箱与斜床身的螺钉结合面的工程案例,阐述了拓扑形状的动力学主动设计的基本流程,证明了这种方法的可行性与实用性。The dynamic characteristics of joint interfaces affect the dynamic behaviors of a whole machine tool structure notably. This paper proposes a dynamical active design method for fixed joint contact area topology of the machine tools. First, the contact stiffness model of the fixed joint with actual contact region is equivalent to a finite element model, the calculation method for material model： elastic modulus and shear modulus is presented, and the contact element stiffness matrix based on the constitutive model for fixed joint is established. Then, Evolutionary Structural Optimization method is used to carry out the optimization design for the fixed joint contact area topology. That is, the delete rule is used to eliminate the contact area which has little contribution for overall natural frequency. Finally, through the engineering case of the fixed joint for bed and head, realizing the active design of the actual contact area topology for fixed joint, and this method is proved feasible and practical.

关 键 词：机床 固定结合面 设计方法 接触 拓扑 

分 类 号：TH113[机械工程—机械设计及理论] TG502[金属学及工艺—金属切削加工及机床]