Nonlinear Characteristics of Revolute Joints with Clearance

Rong-qiang, Liu; Jing, Zhang; Hong-wei, Guo; Zong-quan, Deng

doi:10.5028/jatm.v5i3.236

ABSTRACT:

The nonlinear contact characteristic of revolute joint with clearance can degrade the performance of deployable structure. In this article, tensile and compressive tests are adopted to investigate the accuracies of the simplest conformal model and nonconformal model for contact, which are used to calculate the revolute joint deformation. In order to study the applicability of the two models, different clearances of joints are introduced in the tests. The results of the two contact models do not well agree with the experimental results. A model for the calculation of contact force and deformation of revolute joint, considering geometric constraints and cylinder contact characteristic, is presented. By comparison with the simplest conformal model and nonconformal model for contact, the proposed model is more accurate to calculate the nonlinear contact of revolute joint. The theoretical and experimental analysis of revolute joint with clearance is helpful to improve the reliability of deployable structure simulation.

KEYWORDS:
Nonlinear stiffness; Revolute joint; Clearance; Conformal contact

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REFERENCES

Abdo, J. and Shamseldin, E., 2005, “Modeling of Contact Area, Contact Force, and Contact Stiffness of Mechanical Systems with Friction”, 2005 ASME International Mechanical Engineering Congress and Exposition, Orlando, pp. 1-8.
Bengisu, M.T., Hidayetoglu, T. and Akay A., 1986, “A Theoretical and Experimental Investigation of Contact Loss in the Clearances of a Four-Bar Mechanism”, ASME, Vol. 108, pp. 237-244.
Dubowsky, S. and Freudenstein, F., 1971, “Dynamic analysis of mechanical systems with clearances, Part 1: Formulation of dynamic model”, Journal of Engineering for Industry, Vol. 93, pp. 305-309.
Erkaya, S. and Uzmay, I., “Effects of balancing and link flexibility on dynamics of a planar mechanism having joint clearance”, Sharif University of Technology Scientia Iranica, doi: 10.1016/j.scient.2012.04.011.
» https://doi.org/10.1016/j.scient.2012.04.011
Flores, P. and Ambreósio, J., 2004, “Revolute joints with clearance in multibody systems”, Computers and Structures, Vol. 82, pp. 13591369.
Flores, P., Ambrósio, J., Claro, J. C. P. and Lankarani, H. M, 2006a, “Dynamics of Multibody Systems with Spherical Clearance Joints”, Transactions of the ASME, Vol. 1, pp. 240-247.
Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M. and Koshy, C.S., 2006b, “A Study on Dynamics of Mechanical Systems Including Joints with Clearance and Lubrication”, Mechanisms and Machine Theory, Vol. 41, pp. 247-261.
Flores, P., Leine, R. and Glocker. C., 2010, “Modeling and Analysis of Planar Rigid Multibody Systems with Translational Clearance Joints Based on the Non-smooth Dynamics Approach”, Multibody System Dynamics, Vol. 23, pp. 165-190.
Ingham, M.D. and Crawley E.F., 2001, “Micro Dynamic Characterization of Modal Parameters for a Deployable Space Structure”, AIAA, Vol. 39, pp. 331-338.
Jia, X., Jin, D., Ji, L. and Zhang, J., 2002, “Investigation on the Dynamic Performance of the Tripod-ball Sliding Joint with Clearance in a Crank-sliding Mechanism. Part 1. Theoretical and Experimental Results”, Journal of Sound and Vibration, Vol. 252, pp. 919-933.
Johnson, K.L., 1985, “Contact Mechanics”, Cambridge University Press, Cambridge, 99 p.
Khemili, I. and Romdhane, L., 2008, “Dynamic analysis of a flexible slider-crank mechanism with clearance”, European Journal of Mechanics A/Solids, Vol. 27, pp. 882-898.
Knight, M.G., de Lacerda, L.A., Wrobel, L.C. and Henshall, J.L., 2002, “Parametric Study of the Contact Stresses Around Spherical and Cylindrical Inclusions”, Computational Materials Science, Vol. 25, pp. 115-121.
Lake, M.S. and Lee, D., 1996, “A revolute joint with linear load-displacement response for precision deployable structures”, The 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Salt Lake City, pp. 1-14.
Lankarani, H.M. and Nikravesh, P.E., 1990, “A contact force model with hysteresis damping for impact analysis of multibody systems”. Journal of Mechanical Design, Vol. 112, pp. 369-376.
Larsen, J.J., Jenkins, C., Banik, J. and Murphey, T., 2009, “Continuum Structural Representation of Flexure and Tension Stiffened 1D Spacecraft Architectures”, 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, California, pp. 1-13.
Liu, C.S., Yang, L. and Zhang, K., 2006, “Normal Force-Displacement Relationship of Spherical Joints with Clearances”, Transactions of the ASME , Vol. 1, pp. 160-167.
Meguro, A., Shintate, K., Usui, M and A. Tsujihata., 2009, “In-orbit Deployment Characteristics of Large Deployable Antenna Reflector Onboard Engineering Test Satellite VIII”, Acta Astronautica, Vol. 65, pp. 1306-1316.
Olyaei, A.A. and Ghazavi, M.R., 2012, “Stabilizing slider-crank mechanism with clearance joints”, Mechanism and Machine Theory, Vol. 53, pp. 17-29.
Parenti-Castelli, V. and Venanzi, S., 2005, “Clearance Influence Analysis on Mechanisms”, Mechanism and Machine Theory , Vol. 40, pp. 1316-1329.
Qi Z.H., Xu, Y., Luo, X. and Yao, S., 2010, “Recursive Formulations for Multibody Systems with Frictional Joints Based on the Interaction Between Bodies”, Multibody System Dynamics, Vol. 24, pp. 133-166.
Ravn, P., 1998, “Continuous Analysis Method for Planar Multibody Systems with Joint Clearance”. Multibody System Dynamics , Vol. 2, pp. 1-24.
Rhee, J. and Akay, A., 1996, “Dynamic response of a revolute joint with clearance”, Mechanisms and Machine Theory , Vol. 31, pp. 121-134.
Schwab, A.L., Meijaard, J.P. and Meijers, P., 2002, “A Comparison of Revolute Joint Clearance Models in the Dynamic Analysis of Rigid and Elastic Mechanical Systems”, Mechanism and Machine Theory , Vol. 37, pp. 895-913.
Shi, B. and Jin, Y., 2008, “Dynamic analysis of the reheat-stop-valve mechanism with revolute joint in consideration of thermal effect”, Mechanism and Machine Theory , Vol. 43, pp. 1625-1638.
Tian, Q., Zhang, Y., Chen, L. and Flores, P., 2009, “Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints”, Computers and Structures, Vol. 87, pp. 913-929.
Zhang, X., and Vu-Quoc, L., 2001, “Modeling the Dependence of the Coefficient of Restitution on the Impact Velocity in Elasto-Plastic Collisions”, International Journal of Impact Engineering, Vol. 27, pp. 317-341.

Publication Dates

Publication in this collection
Jul-Sep 2013

History

Received
23 Feb 2013
Accepted
09 May 2013

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

[1] Abdo, J. and Shamseldin, E., 2005, “Modeling of Contact Area, Contact Force, and Contact Stiffness of Mechanical Systems with Friction”, 2005 ASME International Mechanical Engineering Congress and Exposition, Orlando, pp. 1-8.

[2] Bengisu, M.T., Hidayetoglu, T. and Akay A., 1986, “A Theoretical and Experimental Investigation of Contact Loss in the Clearances of a Four-Bar Mechanism”, ASME, Vol. 108, pp. 237-244.

[3] Dubowsky, S. and Freudenstein, F., 1971, “Dynamic analysis of mechanical systems with clearances, Part 1: Formulation of dynamic model”, Journal of Engineering for Industry, Vol. 93, pp. 305-309.

[4] Erkaya, S. and Uzmay, I., “Effects of balancing and link flexibility on dynamics of a planar mechanism having joint clearance”, Sharif University of Technology Scientia Iranica, doi: 10.1016/j.scient.2012.04.011.
» https://doi.org/10.1016/j.scient.2012.04.011

[5] Flores, P. and Ambreósio, J., 2004, “Revolute joints with clearance in multibody systems”, Computers and Structures, Vol. 82, pp. 13591369.

[6] Flores, P., Ambrósio, J., Claro, J. C. P. and Lankarani, H. M, 2006a, “Dynamics of Multibody Systems with Spherical Clearance Joints”, Transactions of the ASME, Vol. 1, pp. 240-247.

[7] Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M. and Koshy, C.S., 2006b, “A Study on Dynamics of Mechanical Systems Including Joints with Clearance and Lubrication”, Mechanisms and Machine Theory, Vol. 41, pp. 247-261.

[8] Flores, P., Leine, R. and Glocker. C., 2010, “Modeling and Analysis of Planar Rigid Multibody Systems with Translational Clearance Joints Based on the Non-smooth Dynamics Approach”, Multibody System Dynamics, Vol. 23, pp. 165-190.

[9] Ingham, M.D. and Crawley E.F., 2001, “Micro Dynamic Characterization of Modal Parameters for a Deployable Space Structure”, AIAA, Vol. 39, pp. 331-338.

[10] Jia, X., Jin, D., Ji, L. and Zhang, J., 2002, “Investigation on the Dynamic Performance of the Tripod-ball Sliding Joint with Clearance in a Crank-sliding Mechanism. Part 1. Theoretical and Experimental Results”, Journal of Sound and Vibration, Vol. 252, pp. 919-933.

[11] Johnson, K.L., 1985, “Contact Mechanics”, Cambridge University Press, Cambridge, 99 p.

[12] Khemili, I. and Romdhane, L., 2008, “Dynamic analysis of a flexible slider-crank mechanism with clearance”, European Journal of Mechanics A/Solids, Vol. 27, pp. 882-898.

[13] Knight, M.G., de Lacerda, L.A., Wrobel, L.C. and Henshall, J.L., 2002, “Parametric Study of the Contact Stresses Around Spherical and Cylindrical Inclusions”, Computational Materials Science, Vol. 25, pp. 115-121.

[14] Lake, M.S. and Lee, D., 1996, “A revolute joint with linear load-displacement response for precision deployable structures”, The 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Salt Lake City, pp. 1-14.

[15] Lankarani, H.M. and Nikravesh, P.E., 1990, “A contact force model with hysteresis damping for impact analysis of multibody systems”. Journal of Mechanical Design, Vol. 112, pp. 369-376.

[16] Larsen, J.J., Jenkins, C., Banik, J. and Murphey, T., 2009, “Continuum Structural Representation of Flexure and Tension Stiffened 1D Spacecraft Architectures”, 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, California, pp. 1-13.

[17] Liu, C.S., Yang, L. and Zhang, K., 2006, “Normal Force-Displacement Relationship of Spherical Joints with Clearances”, Transactions of the ASME , Vol. 1, pp. 160-167.

[18] Meguro, A., Shintate, K., Usui, M and A. Tsujihata., 2009, “In-orbit Deployment Characteristics of Large Deployable Antenna Reflector Onboard Engineering Test Satellite VIII”, Acta Astronautica, Vol. 65, pp. 1306-1316.

[19] Olyaei, A.A. and Ghazavi, M.R., 2012, “Stabilizing slider-crank mechanism with clearance joints”, Mechanism and Machine Theory, Vol. 53, pp. 17-29.

[20] Parenti-Castelli, V. and Venanzi, S., 2005, “Clearance Influence Analysis on Mechanisms”, Mechanism and Machine Theory , Vol. 40, pp. 1316-1329.

[21] Qi Z.H., Xu, Y., Luo, X. and Yao, S., 2010, “Recursive Formulations for Multibody Systems with Frictional Joints Based on the Interaction Between Bodies”, Multibody System Dynamics, Vol. 24, pp. 133-166.

[22] Ravn, P., 1998, “Continuous Analysis Method for Planar Multibody Systems with Joint Clearance”. Multibody System Dynamics , Vol. 2, pp. 1-24.

[23] Rhee, J. and Akay, A., 1996, “Dynamic response of a revolute joint with clearance”, Mechanisms and Machine Theory , Vol. 31, pp. 121-134.

[24] Schwab, A.L., Meijaard, J.P. and Meijers, P., 2002, “A Comparison of Revolute Joint Clearance Models in the Dynamic Analysis of Rigid and Elastic Mechanical Systems”, Mechanism and Machine Theory , Vol. 37, pp. 895-913.

[25] Shi, B. and Jin, Y., 2008, “Dynamic analysis of the reheat-stop-valve mechanism with revolute joint in consideration of thermal effect”, Mechanism and Machine Theory , Vol. 43, pp. 1625-1638.

[26] Tian, Q., Zhang, Y., Chen, L. and Flores, P., 2009, “Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints”, Computers and Structures, Vol. 87, pp. 913-929.

[27] Zhang, X., and Vu-Quoc, L., 2001, “Modeling the Dependence of the Coefficient of Restitution on the Impact Velocity in Elasto-Plastic Collisions”, International Journal of Impact Engineering, Vol. 27, pp. 317-341.

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