Abstract
In order to reveal the deformation state of elastomer actually, the fractal model of the M-B is modified, and deformation properties of elastic stage, elastic-plastic stage and plastic stage of elastomer are analyzed. From the combination of macro and micro perspective, the fractal model of contact stiffness between two cylinders’ joint surfaces is established considering the influence of friction, which is proofed to be feasible by numerical simulation. Moreover, the Fixed curved joint is taken as a research object, the dynamic model is established by the method of spring element, and the first 6 natural frequencies is obtained by the finite element analysis method. Finally, the natural frequency and model analysis obtained from theory and experiment are comparative analyzed. The results show that the established stiffness model is well suitable for the reality of joint surface. Then a new approach for the treatment of joint surface, which is largely present in robotics and NC machine tool etc. are completely provided.
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References
Zhang, X., et al.: Review and prospect of the research on the static and dynamic characteristics of machine joint surfaces. J. Taiyuan Heavy Mach. Inst. 23(3), 276–281 (2002)
Jaspreet, S.-D., et al.: Effect of a nonlinear joint on the dynamic performance of a machine tool. J. Manuf. Sci. Eng. 129(5), 943–950 (2007)
Shir, Y.-O., et al.: Parameter estimation and investigation of a bolted joint model. J. Sound Vib. 307(3/5), 680–697 (2007)
Tian, H., et al.: A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools. Int. J. Mach. Tools Manuf. 51, 239–249 (2011)
Fang, Z., et al.: Multi-body contact dynamic modeling of gear transmission. J. Mech. Trans. 33(1), 15–18 (2009)
Zhang, X., et al.: Fractal model of normal contact stiffness between rough surfaces. Chin. J. Appl. Mech. 17(2), 31–35 (2000)
Wen, S., et al.: Fractal model and simulation of normal contact stiffness of joint interfaces and its simulation. Trans. Chin. Soc. Agric. Mach. 40(11), 197–202 (2009)
Majumdar, A., et al.: Fractal model of elastic-plastic contact between rough surfaces. J. Tribol. Trans. ASME 113(1), 1–11 (1991)
Zhao, H., et al.: Fractal model of normal contact stiffness between two cylinders’ joint interfaces. J. Mech. Eng. 47(7), 53–58 (2011)
Li, X., et al.: Fractal prediction model for tangential contact damping of joint surface considering friction factors and its simulation. J. Mech. Eng. 48(23), 46–50 (2012)
Wang, S., et al.: A fractal theory of the interfacial temperature distribution in the slow sliding regime: Part I-Elastic contact and heat transfer analysis. ASME J. Tribol. 116, 812–823 (1994)
Wang, S., et al.: A fractal theory of the interfacial temperature distribution in the slow sliding regime: Part II-Multiple domains, elastoplastic contacts and applications. ASME J. Tribol. 116, 824–832 (1994)
Ge, S. et al.: Tribological Fractal. China Machine Press, Beijing (2005)
Zhu, Y., et al.: The elastic elastoplastic and plastic fractal contact models for rough surface. J. Xi’an Inst. Technol. 21(2), 150–157 (2001)
Johnson, K.-L. et al.: Contact Mechanics. Cambridge University Press, Cambridge (1985)
Huang, K., et al.: Research of fractal contact model on contact carrying capacity of two cylinders surface. Tribology 28(6), 529–533 (2008)
Wen, S., et al.: Fractal model of tangential contact stiffness of joint interfaces and its simulation. Trans. Chin. Soc. Agric. Mach. 40(12), 223–227 (2009)
Chen, Q.: Research on Gear Contact Strength Analysis of Automobile Gearbox by Fractal Theory. Hefei University of Technology, Hefei (2010)
Acknowledgments
This paper is supported by National Natural Science Foundation (51275079), Program for New Century Excellent Talents in University (NCET-10-0301) and Fundamental Research Funds for the Central Universities (N110403009).
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Li, X., Wang, X., Li, J., Li, M., Li, S. (2015). Dynamic Characteristics of Two Cylinders’ Joint Surfaces Based on Fractal Theory. In: Bai, S., Ceccarelli, M. (eds) Recent Advances in Mechanism Design for Robotics. Mechanisms and Machine Science, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-18126-4_28
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DOI: https://doi.org/10.1007/978-3-319-18126-4_28
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