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Frictional contact analysis of spatial prismatic joints in multibody systems. (English) Zbl 1247.70025
An approach for the frictional contact analysis of rigid multibody systems with spatial prismatic joints is presented. Such a joint consists of a slider and a guide (both are being rigid), and slider can be enclosed into the guide entirely or partially. The length of overlap has constant value in the first case and varies in the second one. It is assumed that the cross-section of contact surface is rectangular. On this way it is shown that surface-to-surface (line-to-line) contacts in joint are equivalent to point-to-point contacts, and then a set of equations is given which enables to determine the location and force of contacts if the joint reaction forces are given. A group of gap functions associated with the corner points of the overlap of the slider is introduced, and relations between them are highly emphasized. As the non-colliding contacts being predominant when clearances of joints are small, the contact forces are formulated in terms of resultant frictional forces in the joint. Three numerical examples are given to illustrate the method proposed.

70E55Dynamics of multibody systems
70F40Problems with friction (particle dynamics)
Full Text: DOI
[1] Lopes, D.S., Silva, M.T., Ambrósio, J.A., Flores, P.: A mathematical framework for contact detection between quadric and superquadric surfaces. Multibody Syst. Dyn. 24(3), 255--280 (2010) · Zbl 05817490 · doi:10.1007/s11044-010-9220-0
[2] Flores, P., Ambrósio, J.: On the contact detection for contact-impact analysis in multibody systems. Multibody Syst. Dyn. 24(1), 103--122 (2010) · Zbl 05817479 · doi:10.1007/s11044-010-9209-8
[3] García Orden, J.C.: Analysis of joint clearances in multibody systems. Multibody Syst. Dyn. 13, 401--420 (2005) · Zbl 1284.70011 · doi:10.1007/s11044-005-3989-2
[4] Gilardi, G., Sharf, I.: Literature survey of contact dynamics modeling. Mech. Mach. Theory 37(10), 1213--1239 (2002) · Zbl 1062.70553 · doi:10.1016/S0094-114X(02)00045-9
[5] Pfeiffer, F., Glocker, C.: Multibody Dynamics with Unilateral Contacts. Wiley, New York (1996) · Zbl 0922.70001
[6] Glocker, C., Pfeiffer, F.: Multiple impacts with friction in rigid multibody systems. Nonlinear Dyn. 7(4), 471--497 (1995) · doi:10.1007/BF00121109
[7] Glocker, C.: Concepts for modeling impacts without friction. Acta Mech. 168(1--2), 1--19 (2004) · Zbl 1063.74075 · doi:10.1007/s00707-004-0076-3
[8] Bowling, A., Flickinger, D.M., Harmeyer, S.: Energetically consistent simulation of simultaneous impacts and contacts in multibody systems with friction. Multibody Syst. Dyn. 22, 27--45 (2009) · Zbl 1189.70006 · doi:10.1007/s11044-009-9147-5
[9] Lankarani, H.M., Nikravesh, P.E.: Continuous contact force models for impact analysis in multibody systems. Nonlinear Dyn. 5, 193--207 (1994)
[10] Khulief, Y.A., Shabana, A.A.: A continuous force model for the impact analysis of flexible multibody systems. Mech. Mach. Theory 22, 213--224 (1987) · doi:10.1016/0094-114X(87)90004-8
[11] Flores, P., Machado, M., Silva, M.T., Martins, J.M.: On the continuous contact force models for soft materials in multibody dynamics. Multibody Syst. Dyn. 25, 357--375 (2011) · Zbl 1263.70007 · doi:10.1007/s11044-010-9237-4
[12] Dopico, D., Luaces, A., Gonzalez, M., Cuadrado, J.: Dealing with multiple contacts in a human-in-the-loop application. Multibody Syst. Dyn. 25(2), 167--183 (2011) · doi:10.1007/s11044-010-9230-y
[13] Haines, R.S.: Survey: 2-dimensional motion and impact at revolute joints. Mech. Mach. Theory 15, 361--370 (1980) · doi:10.1016/0094-114X(80)90013-0
[14] Ravn, P.: A continuous analysis method for planar multibody systems with joint clearance. Multibody Syst. Dyn. 2, 1--24 (1998) · Zbl 0953.70517 · doi:10.1023/A:1009759826529
[15] Flores, P., Ambrósio, J.: Revolute joints with clearance in multibody systems. Comput. Struct. 82, 1359--1369 (2004) · doi:10.1016/j.compstruc.2004.03.031
[16] Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Dynamic behaviour of planar rigid multibody systems including revolute joints with clearance. J. Multi-Body Dyn. 221(2), 161--174 (2007). Proceedings of the Institution of Mechanical Engineers, Part--K
[17] Flores, P.: Modeling and simulation of wear in revolute clearance joints in multibody systems. Mech. Mach. Theory 44(6), 1211--1222 (2009) · Zbl 1178.70022 · doi:10.1016/j.mechmachtheory.2008.08.003
[18] Bing, S., Ye, J.: Dynamic analysis of the reheat--stop--valve mechanism with revolute clearance joint in consideration of thermal effect. Mech. Mach. Theory 43(12), 1625--1638 (2008) · Zbl 1193.70007 · doi:10.1016/j.mechmachtheory.2007.12.004
[19] Erkaya, S., Uzmay, I.: A neural-genetic (NN--GA) approach for optimising mechanisms having joints with clearance. Multibody Syst. Dyn. 20(1), 69--83 (2008) · Zbl 05319051 · doi:10.1007/s11044-008-9106-6
[20] Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Kinematics and dynamics of multibody systems with imperfect joints: models and case studies. In: Lecture Notes in Applied and Computational Mechanic, vol. 34. Springer, Berlin (2008) · Zbl 1142.70001
[21] Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Dynamics of multibody systems with spherical clearance joints. J. Comput. Nonlinear Dyn. 1, 240--247 (2006) · Zbl 1143.70319 · doi:10.1115/1.2198877
[22] Liu, C.S., Zhang, K., Yang, L.: Normal force--displacement relationship of spherical joints with clearances. J. Comput. Nonlinear Dyn. 1(2), 160--167 (2006) · doi:10.1115/1.2162872
[23] Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Influence of the contact--impact force model on the dynamic response of multibody systems. J. Multi-Body Dyn. 220(1), 21--34 (2006). Proceedings of the Institution of Mechanical Engineers, Part--K
[24] Srivastava, N., Haque, I.: Clearance and friction-induced dynamics of chain CVT drives. Multibody Syst. Dyn. 19(3), 255--280 (2008) · Zbl 05262310 · doi:10.1007/s11044-007-9057-3
[25] Wilson, R., Fawcett, J.N.: Dynamics of the slider--crank mechanism with clearance in the sliding bearing. Mech. Mach. Theory 9, 61--80 (1974) · doi:10.1016/0094-114X(74)90008-1
[26] Farahanchi, F., Shaw, S.: Chaotic and periodic dynamics of a slider--crank mechanism with slider clearance. J. Sound Vib. 177(3), 307--324 (1994) · Zbl 0945.70539 · doi:10.1006/jsvi.1994.1436
[27] Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Translational joints with clearance in rigid multibody systems. J. Comput. Nonlinear Dyn. 3, 011007-10 (2008)
[28] Flores, P., Leine, R.I., Glocker, C.: Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach. Multibody Syst. Dyn. 23, 165--190 (2010) · Zbl 1219.70014 · doi:10.1007/s11044-009-9178-y
[29] Baraff, D.: Analytical methods for dynamic simulation of non-penetrating rigid bodies. Comput. Graph. 23, 223--232 (1989) · doi:10.1145/74334.74356
[30] Glocker, C.: Formulation of spatial contact situations in rigid multibody systems. Comput. Methods Appl. Mech. Eng. 177, 199--214 (1999) · Zbl 0952.70007 · doi:10.1016/S0045-7825(98)00381-8
[31] Sharf, I., Zhang, Y.: A contact force solution for non-colliding contact dynamics simulation. Multibody Syst. Dyn. 16, 263--290 (2006) · Zbl 1207.70006 · doi:10.1007/s11044-006-9026-2
[32] Qi, Z., Xu, Y., Luo, X., Yao, S.: Recursive formulation of multibody systems with frictional joints. Multibody Syst. Dyn. 24(2), 133--166 (2010) · Zbl 05817484 · doi:10.1007/s11044-010-9213-z
[33] Fischer, A.: A special Newton-type optimization method. Optimization 24, 269--284 (1992) · Zbl 0814.65063 · doi:10.1080/02331939208843795
[34] Leine, R.I., Glocker, C.: A set-valued force law for spatial Coulomb--Contensou friction. Eur. J. Mech. A, Solids 22(2), 193--216 (2003) · Zbl 1038.74513 · doi:10.1016/S0997-7538(03)00025-1
[35] Kosenko, I.I., Aleksandrov, E.V.: Implementation of the Contensou--Erismann tangent forces model in the Hertz contact problem. Multibody Syst. Dyn. 24, 281--301 (2010) · Zbl 05817487 · doi:10.1007/s11044-010-9211-1
[36] Rooney, G.T., Deravi, P.: Coulomb friction in mechanism sliding joints. Mech. Mach. Theory 17(3), 207--211 (1982) · doi:10.1016/0094-114X(82)90006-4
[37] The C++ version of Adams/Solver: MSC Software Corporation (2005)
[38] Flores, P.: A parametric study on the dynamic response of planar multibody systems with multiple clearance joints. Nonlinear Dyn. 61(4), 633--653 (2010) · Zbl 1204.70008 · doi:10.1007/s11071-010-9676-8