金属材料结合部法切向刚度修正与实验验证

推导了分形维数、分形粗糙度的近似解析解,修正了结合部法向接触刚度相关公式。编写了求解域扩展系数的通用Matlab程序,推导出结合部切向接触刚度的解析解。以XHK5140型自动换刀计算机数控立式镗铣床上的结合部为研究对象,以测试试件的实验结果为基准,按照相似振型相关性、固有频率定量比较的原则,对结合部法向与切向接触刚度的理论解进行了验证。验证表明理论模型的振型与实验的振型都一致,理论与实验固有频率的相对误差在-16.8%～16.8%之间。

Modification of Normal and Tangential Stiffness for Joint Interface with Metallic Material and Experimental Validation

The proximate analytic results of fractal dimension and fractal roughness were derived.Some solutions associated with normal contact stiffness in joint interface were modified.A general Matlab program was compiled to solve the domain extension factor.The analytic expression for the tangential contact stiffness was deduced about joint interface.A joint interface selected as an example in XHK5140 automatic tool-changing CNC vertical boring and milling machine tool in terms of the experimental results about test specimen,the theoretical expressions for normal and tangential contact stiffness were validated via the correlation of similar vibration shape and quantitative comparison tenet of natural frequencies.The theoretical vibration shapes were in good line with the experimental ones.The relative error between the theoretical natural frequencies and the experimental results distributed from-16.8% to 16.8%.