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A Nonlinear Contact Force Model for Revolute Joint with Clearance

Published online by Cambridge University Press:  07 August 2013

Z. F. Bai ,
Y. Zhao  and
X. G. Wang
Z. F. Bai*
Affiliation:
Institute of Spacecraft Dynamics and Simulation, Harbin Institute of TechnologyWeihai, Shandong Province, P. R. China
Y. Zhao
Affiliation:
Department of Astronautic Engineering, Harbin Institute of Technology, Harbin, Heilongjiang Province, P. R. China
X. G. Wang
Affiliation:
Institute of Spacecraft Dynamics and Simulation, Harbin Institute of TechnologyWeihai, Shandong Province, P.R. China
*
*baizhengfeng@126.com
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Abstract

Clearances in the joints of mechanism cause vibrations and noise in mechanical systems. The contact force model is the important factor in dynamic analysis of mechanical systems with clearance. This paper presents a nonlinear contact force model for revolute joint with clearance, which is a hybrid model of the Lankarani-Nikravesh model and the improved elastic foundation model. The framework of the Lankarani-Nikravesh model is used with the nonlinear stiffness coefficient derived using the improved elastic foundation model and the damping applied in introducing the ratio of the nonlinear stiffness coefficient of the improved elastic foundation model and contact stiffness of Lankarani-Nikravesh model. Finally, the nonlinear hybrid contact force model is analyzed and discussed. The hybrid contact force model presented in this paper is a nonlinear continuous contact force model, which extends contact modeling of joints with clearance and has a greater applicable scope.

Keywords

Revolute jointClearanceContactHybrid model
Type
Research Article
Information
Journal of Mechanics , Volume 29 , Issue 4 , December 2013 , pp. 653 - 660
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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References

REFERENCES

1.Flores, P., “Modeling and Simulation of Wear in Revolute Clearance Joints in Multibody Systems,” Mechanism and Machine Theory, 44, pp. 1211–1222 (2009).Google Scholar
2.Tian, Q., Zhang, Y. Q., Chen, L. and P., Flores, P., “Dynamics of Spatial Flexible Multibody Systems with Clearance and Lubricated Spherical Joints,” Computers and Structures, 87, pp. 913–929 (2009).Google Scholar
3.Erkaya, S. and Uzmay, I., “Experimental Investigation of Joint Clearance Effects on the Dynamics of a Slider-Crank Mechanism,” Multibody System Dynamics, 24, pp.81-102 (2010).Google Scholar
4.Mukras, S., Kim, N. H., Mauntler, N. A., Schmitz, T. L. and Sawyer, W. G., “Analysis of Planar Multibody Systems with Revolute Joint Wear,” Wear, 268, pp. 643–652 (2010).Google Scholar
5.Zhao, Y. and Bai, Z. F., “Dynamics Analysis of Space Robot Manipulator with Joint Clearance,” Acta Astronautica, 68, pp. 1147–1155 (2011).Google Scholar
6.Gilardi, G. and Sharf, I., “Literature Survey of Contact Dynamics Modelling,” Mechanism and Machine Theory, 37, pp. 1213–1239 (2002).Google Scholar
7.Ravn, P., “A Continuous Analysis Method for Planar Multibody Systems with Joint Clearance,” Multibody System Dynamics, 2, pp. 1–24 (1998).CrossRefGoogle Scholar
8.Flores, P., Ambrósio, J. and Claro, J. P., “Dynamic Analysis for Planar Multibody Mechanical Systems with Lubricated Joints,” Multibody System Dynamics, 12, pp. 47–74 (2004).CrossRefGoogle Scholar
9.Shi, B. and Jin, Y., “Dynamic Analysis of the Re-heat-Stop-Valve Mechanism with Revolute Clearance Joint in Consideration of Thermal Effect,” Mechanism and Machine Theory, 43, pp. 1625–1638 (2008).Google Scholar
10.Lankarani, H. M. and Nikravesh, P. E., “A Contact Force Model with Hysteresis Damping for Impact Analysis of Multibody Systems,” Journal of Mechanical Design, 112, pp. 369–376 (1990).Google Scholar
11.Flores, P., Ambrósio, J., Claro, J. C. P. and Lankarani, H. M., “Dynamics of Multibody Systems with Spherical Clearance Joints,” Journal of Computational and Nonlinear Dynamics, 1, pp. 240–247 (2006).Google Scholar
12.Liu, C. S., Zhang, K. and Yang, R., “The FEM Analysis and Approximate Model for Cylindrical Joints with Clearances,” Mechanism and Machine Theory, 42, pp. 183–197 (2007).CrossRefGoogle Scholar
13.Johnson, K. L., Contact Mechanics, Cambridge University Press, London (1992).Google Scholar
14.Liu, C. S., Zhang, K. and Yang, L., “Normal Force-Displacement Relationship of Spherical Joints with Clearances,” Journal of Computational and Nonlinear Dynamics, 1, pp. 160–167 (2006).Google Scholar
15.Ciavarella, M. and Decuzzi, P., “The State of Stress Induced by the Plane Frictionless Cylindrical Contact 1: The Case of Elastic Similarity,” International Journal of Solids and Structures, 38, pp. 4507–4523 (2001).Google Scholar
16.Ciavarella, M. and Decuzzi, P., “The State of Stress Induced by the Plane Frictionless Cylindrical Contact 2: The General Case (Elastic Dissimilarity),” International Journal of Solids and Structures, 38, pp. 4523–4533 (2001).Google Scholar
17.Qin, Z. Y. and Lu, Q. S., “Analysis of Impact Process Model Based on Restitution Coefficient,” Journal of Dynamics and Control, 4, pp. 294–298 (2006).Google Scholar
18.Schwab, A. L., Meijaard, J. P. and Meijers, P., “A Comparison of Revolute Joint Clearance Model in the Dynamic Analysis of Rigid and Elastic Mechanical Systems,” Mechanism and Machine Theory, 37, pp. 895–913 (2002).Google Scholar
19.Ye, K., Li, L. and Zhu, H., “A Note on the Hertz Contact Model with Nonlinear Damping for Pounding Simulation,” Earthquake Engineering Structural Dynamics, 38, pp. 1135–1142 (2009).Google Scholar