Modeling Method of Fixed Joint Interfaces Based on Equivalent Transversely Isotropic Virtual Material
Modeling Method of Fixed Joint Interfaces Based on Equivalent Transversely Isotropic Virtual Material
复制标题
DOI：
10.3901/jme.2017.15.141
复制
发表时间：
2017
影响因子：
--
通讯作者：
Xueliang Zhang
中科院分区：
文献类型：
--
作者：
Xueliang Zhang
为提高固定节理界面的建模精度和通用性，针对固定节理界面法向和切向不同的特点，提出了基于等效横观各向同性虚拟材料的固定节理界面动力学参数建模方法。将固定节理界面上两个接触面的微接触部分视为具有不变截面的虚拟横观各向同性材料，并将其与位于固定节理界面两侧的两个构件刚性连接。基于接触分形理论和接触刚度分形模型，根据横观各向同性材料弹性常数的定义，提出了等效虚拟材料弹性常数和密度的理论计算模型。在此基础上，对一个节点界面固定的实验模型进行了有限元建模和模态分析，并将理论模型与实验模型进行了比较。结果表明，理论振型与实验振型具有较好的一致性，相应固有频率的相对误差绝对值均小于10%，验证了建模方法的正确性和有效性。该方法为数控机床固定关节界面动态建模提供了一种新的方法，实现了固定关节界面动态建模与有限元分析软件的无缝集成。
： To improve the fixed joint interfaces’ modeling precision and versatility, considering the different characteristics of the fixed joint interfaces in normal and tangential directions, the dynamics parametric modeling method of fixed joint interfaces based on equivalent transversely isotropic virtual material is proposed. The micro contact portion of two contact surfaces in fixed joint interfaces is regarded as a virtual transversely isotropic material with a unchanged section, which is rigidly linked with two components situated at both sides of the fixed joint interfaces. Based on contact fractal theory and contact stiffness fractal model, according to the definition of transversely isotropic material’s elastic constants, the theoretical calculation models of equivalent virtual material’s elastic constants and density are put forward. On above basis, finite element modeling and modal analysis of one experimental model that has fixed joint interface are conducted, and then, the theoretical modals are compared with the experimental modals. The results show that the theoretical modals’ first six order vibration shapes are in excellent coherence with the experimental modals’, and the absolute values of the relative errors of corresponding natural frequency are less than 10%, which shows the correctness and effectiveness of the modeling method. This method provides a new method for CNC machine tools’ fixed joint interfaces dynamic modeling, and the seamless integration of fixed joint interfaces dynamic modeling and finite element analysis software is achieved.