3D Models of Thermo-mechanical Coupling of
Grinding Tooth and Numerical Analysis

MING Xingzu ^{1, 2}  YAN Hongzhi¹  CHEN Shuhan¹  ZHONG Jue¹

(1. College of Mechanicaland Electronic Engineering, Central South University, Changsha 410083;
2. School of Mechanical Engineering, Hunan Industry University, Zhuzhou 412008)

Abstract: According to the principle of NC grinding tooth of spiral bevel gear, the theoretic models of basic grinding tooth parameters and the calculation formula of grinding forces in the physical sense are gotten. The heat distribution ratio is computed by using the thermal model of a single grinding grit, and the heat flux is obtained by applying rectangle heat source. Based on the thermo-elastic-plastic deformation theory, the constitutive relationship of stress-strain field on grinding tooth interface by applying PRANDTLREUSS method is set up. According to the bilinear isotropic hardening model of gear material, the transient temperature field of a single tooth is simulated by using the 3D finite element model of thermo-mechanical coupling, and the method of small substep moving of loads. Many conclusions of the simulation are gotten. Firstly, the place of the highest transient temperature of grinding is located at the center of grinding arc. Secondly, while changing of the conditions, space, time of grinding, and so on, the transient temperature of other points has its corresponding changing rule. By the numerical analysis of comparing test data with simulation ones of thermo-mechanical coupling, the results show that the thermo-mechanical coupling model has relatively high precision. These conclusion provide a foundation for the control of grinding quality of sprial bevel gear.

Key words: Thermo-mechanical coupling  Grinding tooth 3D model  Numerical analysis

CLC No: TH132.41

国家重点基础研究发展计划(973计划, 2005CB724104)资助项目. Received 20070516, received in revised form 20071211

References

[1] PAPADOPOULOS E G, CHASPARIS G C. Analysis and model-based control of servomechanisms with friction [J]. Trans. Of ASME, Journal of Dynamic systems, Measurement & Control, 2004, 126: 911-915.
[2] HU Weihua, WANG Qiucheng, HU Xiaodong, et al. Numerical simulation of cutting process: an overview[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2005, 37( Supp.) : 194-198.
[3] LAN Xionghou, WANG Jixian, GAO Hang. Present condition and development of the research on the grinding temperature theory[J]. Diamond & Abrasives Engineering, 2001, 123( 3) : 5-6.
[4] PANTALÉ O, BACARIA J L, DALVERNY O, et al. 2D and 3D numerical models of metal cutting with damage effects[J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(4): 4 383-4 399.
[5] STRENKOWSKI J S, SHIH A J, LIN J C. An analytical finite element model for predicting three-dimensional tool forces and chip flow[J]. International Journal of Machine Tools & Manufacture, 2002, 42: 723-731.
[6] HAMDI H, ZAHOUANI H, BERGHEAU J M. Residual stresses computation in a grinding process[J]. Journal of Materials Processing Technology, 2004, 147: 277-285.
[7] HUANG Zhigang, KE Yinglin, WANG Litao. Coupled thermo-mechanical model for metal orthogonal cutting process and finite element simulation[J]. Acta Aeronautica et Astronautica Sinica, 2004, 25(3): 317-320.
[8] ZENG Tao. Design and machining of bevel gear[M]. Harbin : Harbin Institute of Technology Press, 1989.
[9] MALKIN S. Theory and application of grinding technology[M]. Shenyang: Northeastern University Press, 2002.
[10] GUO C, WU Y, VARGHESE V, et al. Temperatures and energy partition for grinding with vitrified CBN wheels[J]. Annals of the CIRP, 1999, 48(1): 247.
[11] JIN T, CAI G Q. Analytical thermal models of oblique moving heat source for deep grinding and cutting[J]. Journal of Manufacturing Science and Engineering, 2001, 123(5): 185-190.
[12] LIN B, ZHANG H L. Theoretical analysis of temperature field in surface grinding with cup wheel[J]. Key Engineering Materials, 2001, 202-203(6): 92-96.