Modeling Method of Fixed Joint Interfaces Based on Equivalent Transversely Isotropic Virtual Material

doi:10.3901/JME.2017.15.141

Abstract

Abstract: 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.

Key words: equivalent virtual material, fixed joint interfaces, modeling, transversely isotropic

CLC Number:

TH113

ZHANG Xueliang, FAN Shirong, WEN Shuhua, WANG Yusong, CHEN Yonghui, LAN Guosheng. Modeling Method of Fixed Joint Interfaces Based on Equivalent Transversely Isotropic Virtual Material[J]. Journal of Mechanical Engineering, 2017, 53(15): 141-147.

References

[1] 张学良. 机械结合面动态特性及应用[M]. 北京:中国科技出版社,2002. ZHANG Xueliang. Dynamic characteristics and its applications of machine joint surfaces[M]. Beijing:Press of Science and Technology of China,2002.
[2] 张杰,童忠钫. 机床固定结合面动力学建模问题[J]. 振动与冲击,1994,51(3):15-22. ZHANG Jie,TONG Zhongfang. The problem of dynamic modeling of bolted joints in machine tool[J]. Journal of Vibration and Shock,1994,51(3):15-22.
[3] INAMURA T,SATA T. Stiffness and damping identification of the elements of a machine tool structure[J]. CIRP Annuals,1979,28(1):235-239.
[4] YOSHIMURA M,OKUSHIMA K. Measurement of dynamic rigidity and damping property for simplified joint models and simulation by computer[J]. Annals of the CIRP,1977,25(1):193-198.
[5] YOSHIMURA M. Computer-aided design improvement of machine tool structure incorporating joint dynamics data[J]. Annals of the CIRP,1979,28(1):241-246.
[6] 田红亮,刘芙蓉,方子帆,等. 引入各向同性虚拟材料的固定结合部模型[J]. 振动工程学报,2013,26(4):561-573. TIAN Hongliang,LIU Furong,FANG Zifan,et al. Immovable joint surface's model using isotropic virtual material[J]. Journal of Vibration Engineering,2013,26(4):561-573.
[7] 石坤,宋俐,师俊平. 机械结合部等效材料参数建立与试验[J]. 农业机械学报,2014, 45(2):297-301. SHI Kun,SONG Li,SHI Junping. Establishment and experiment of mechanical joint equivalent material properties[J]. Transaction of the Chinese Society for Agricultural Machinery,2014,45(2):297-301.
[8] TIAN H L,LI B,LIU H Q,et al. A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J]. International Journal of Machine Tools and Manufacture,2011,51(3):239-249.
[9] 温诗铸,黄平. 界面科学与技术[M]. 北京:清华大学出版社,2011. WEN Shizhu,HUANG Ping. Interface science and technology[M]. Beijing:Press of Tsinghua University,2011.
[10] MAJUMDAR A,BHUSHAN B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces[J]. Journal of Tribology,1990,112(2):205-216.
[11] MAJUMDAR A,BHUSHAN B. Fractal model of elastic-plastic contact between rough surfaces[J]. Journal of Tribology,1991,113(1):1-11.
[12] ZHANG X,WANG N,LAN G,et al. Tangential damping and its dissipation factor models of joint Interfaces based on fractal theory with simulations[J]. Journal of Tribology,2014,136(1):011704-1-011704-10.
[13] ZHAI C,HANAOR D,PROUST G,et al. Interfacial electro-mechanical behaviour at rough surfaces[J]. Extreme Mechanics Letters,2016,9(3):422-429.
[14] 陈建桥. 复合材料力学概论[M]. 北京:科学出版社,2006. CHEN Jianqiao. Introduction of composite materials mechanics[M]. Beijing:Press of Science,2006.
[15] 张学良,陈永会,温淑花,等. 考虑弹塑性变形机制的结合面法向接触刚度建模[J]. 振动工程学报,2015,28(1):92-99. ZHANG Xueliang,CHEN Yonghui,WEN Shuhua,et al. The model of normal contact stiffness of joint interfaces incorporating elastoplastic deformation mechanism[J]. Journal of Vibration Engineering,2015,28(1):92-99.
[16] 张学良,王南山,温淑花,等. 机械结合面切向接触阻尼能量耗散弹塑性分形模型[J]. 机械工程学报,2013,49(12):43-49. ZHANG Xueliang,WANG Nanshan,WEN Shuhua,et al. Elastoplastic fractal model for tangential contact damping energy dissipation of machine joint interfaces[J]. Journal of Mechanical Engineering,2013,49(12):43-49.
[17] 田红亮,赵春华,朱大林,等. 金属材料结合部法切向刚度修正与实验验证[J]. 农业机械学报,2012,43(6):207-214. TIAN Hongliang,ZHAO Chunhua,ZHU Dalin,et al. Modification of normal and tangential stiffness for joint interface with metallic material and experimental validation[J]. Transaction of the Chinese Society for Agricultural Machinery,2012,43(6):207-214.