Influence of contact stiffness of joint surfaces on oscillation system based on the fractal theory
- 102 Downloads
In this paper, in view of microscopic surface topography characteristic, the relationship of microscopic surface topography characteristic and the dynamic characteristic of macroscopic system is established, and the influence of fractal contact stiffness on the stability and nonlinearity of modal coupling system is studied based on microscopic surface topography. According to the fractal characteristic of metal surface machined, the normal and tangential contact stiffness fractal models of joint surfaces are established and verified. In this paper, a critical two-degree-of-freedom modal coupling model is listed, the fractal contact stiffness obtained is embedded into oscillatory differential equation to study the influence of the coupling between friction coefficient and stiffness ratio of joint surfaces and the coupling between natural frequency and stiffness ratio of joint surfaces on the system stability, and the influence of fractal contact stiffness on the limit cycle of system is further analyzed. The above theoretical analysis can provide a reference for the design of suitable surface topography in the engineering.
KeywordsJoint surfaces Contact stiffness Fractal theory Oscillation system
The authors greatly appreciate the reviewers’ suggestions and the editor’s encouragement. This work was supported, in part, by a Grant from National Natural Science Foundation of China (Nos. 51275079 and 51575091) and Fundamental Research Funds for the Central Universities (N160306003).
- 8.Spurr, R.T.: A theory of brake squeal. Proc. Inst. Mech. Eng. Auto. 1961, 33–52 (1961)Google Scholar
- 13.Okayama, K., Fujikawa, H., Kubota, T., Kakihara, K.: A study on rear disc brake groan noise immediately after stopping. In: 23rd Annual Brake Colloquium and Exhibition. Orlando SAE 2005-01-3917 (2005)Google Scholar
- 15.Rusli, M., Okuma, M.: Squeal noise prediction in dry contact sliding systems by means of experimental spatial matrix identification. J. Syst. Des. Dyn. 2, 585–595 (2008)Google Scholar
- 23.Ge, S.R., Zhu, H.: Tribology Fractal. Machinery Industry Press, Beijing (2005)Google Scholar
- 26.Li, X.P., Yue, B., Zhao, G.H., Sun, D.H.: Fractal prediction model for normal contact damping of joint surfaces considering friction factors and its simulation. Adv. Mech. Eng. 2014, 1–5 (2014)Google Scholar
- 27.Li, X.P., Liang, Y.J., Zhao, G.H., Ju, X., Yang, H.T.: Dynamic characteristics of joint surface considering friction and vibration factors based on fractal theory. J. Vibroeng. 15, 872–883 (2013)Google Scholar
- 29.Sheng, X.Y., Luo, J.B., Wen, S.Z.: Prediction of static friction coefficient based on fractal contact. China Mech. Eng. 9, 16–18 (1998)Google Scholar
- 30.Wen, S.H., Zhang, X.L., Wen, X.G., Wang, P.Y., Wu, M.X.: Fractal model of tangential contact stiffness of joint interfaces and its simulation. Trans. Chinese Soc. Agric. Mach. 40, 223–227 (2009)Google Scholar
- 32.Zhang, H., Yu, C.L., Wang, R.C., Ye, P.Q., Liang, W.Y.: Parameters identification method for machine tool support joints. J. Tsinghua Univ. (Sci. Technol.) 54, 815–821 (2014)Google Scholar
- 33.Hultén, J.: Drum brake squeal—a self-exciting mechanism with constant friction. In: SAE Truck and Bus Conference Detroit, pp. 695–706. (1993)Google Scholar
- 34.Hultén, J.: Friction phenomena related to drum brake squeal instabilities. In: ASME design engineering technical conferences. Sacramento, pp. 588–596. (1997)Google Scholar