Modeling and analysis of planar rigid multibody systems with translational clearance joints based on the non-smooth dynamics approach

Paulo Flores1, Remco I. Leine2, Christian Glocker2
1Mechanical Engineering Department, University of Minho, Campus de Azurém, 4800-058, Guimarães, Portugal
2Department of Mechanical and Process Engineering, Center of Mechanics, IMES – Institute of Mechanical Systems, 8092, Zurich, Switzerland

Tóm tắt

Từ khóa


Tài liệu tham khảo

Flores, P., Ambrósio, J.: Revolute joints with clearance in multibody systems. Comput. Struct. 82, 1359–1369 (2004)

Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Kinematics and Dynamics of Multibody Systems with Imperfect Joints: Models and Case Studies. Lecture Notes in Applied and Computational Mechanics, Vol. 34. Springer, Berlin (2008)

Qiang, T., Zhang, Y., Chen, L., Flores, P.: Dynamics of spatial flexible multibody systems with clearance and lubricated spherical joints. Comput. Struct. 87, 913–929 (2009)

Liu, C.-S., Zhang, K., Yang, R.: The FEM analysis and approximate model for cylindrical joints with clearances. Mech. Mach. Theory 42, 183–197 (2007)

Crowthera, A.R., Singha, R., Zhangb, N., Chapman, C.: Impulsive response of an automatic transmission system with multiple clearances: Formulation, simulation and experiment. J. Sound Vib. 306, 444–466 (2007)

Flores, P., Ambrósio, J., Claro, J.P.: Dynamic analysis for planar multibody mechanical systems with lubricated joints. Multibody Syst. Dyn. 12, 47–74 (2004)

Erkaya, S., Uzmay, İ.: A neural–genetic (NN–GA) approach for optimising mechanisms having joints with clearance. Multibody Syst. Dyn. 20(1), 69–83 (2008)

Flores, P.: Modeling and simulation of wear in revolute clearance joints in multibody systems. Mech. Mach. Theory 44(6), 1211–1222 (2009)

Flores, P., Ambrósio, J., Claro, J.C.P., Lankarani, H.M.: Translational joints with clearance in rigid multibody systems. J. Comput. Nonlinear Dyn. 3(1), 0110071–10 (2008)

Awrejcewicz, J., Kudra, G., Lamarque, C.-H.: Dynamics investigation of three coupled rods with horizontal barrier. Meccanica 38, 687–698 (2003)

Stoenescu, E.D., Marghitu, D.B.: Dynamic analysis of a planar rigid-link mechanism with rotating slider joint and clearance. J. Sound Vib. 266, 394–404 (2003)

Farahanchi, F., Shaw, S.W.: Chaotic and periodic dynamics of a slider crank mechanism with slider clearance. J. Sound Vib. 177(3), 307–324 (1994)

Thümmel, T., Funk, K.: Multibody modelling of linkage mechanisms including friction, clearance and impact. In: Proceedings of Tenth World Congress on the Theory of Machine and Mechanisms, Oulu University, Finland, vol. 4, pp. 1375–1386 (1999)

Wilson, R., Fawcett, J.N.: Dynamics of slider-crank mechanism with clearance in the sliding bearing. Mech. Mach. Theory 9, 61–80 (1994)

Cottle, R.W., Dantzig, G.B.: Complementary pivot theory of mathematical programming. Linear Algebra Appl. 1, 103–125 (1968)

Cottle, R.W., Pang, J.S., Stone, R.E.: The Linear Complementarity Problem. Academic Press, London (1992)

Rohn, J.: A note on solvability of a class of linear complementarity problems. Math. Program. 60(13), 229–231 (1993)

Leine, R.I., Brogliato, B., Nijmeijer, H.: Periodic motion and bifurcations induced by the Painlevé paradox. Eur. J. Mech. A, Solids 21(5), 869–896 (2002)

Pang, J., Trinkle, J.C.: Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction. Math. Program. 73(2), 199–226 (1996)

Stewart, D.E., Trinkle, J.C.: An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction. Int. J. Numer. Methods Eng. 39(15), 2673–2691 (1996)

Leine, R.I., Nijmeijer, H.: Dynamics and Bifurcations of Non-Smooth Mechanical Systems. Lecture Notes in Applied and Computational Mechanics, vol. 18. Springer, Berlin (2004)

Glocker, C.: Set-Valued Force Laws: Dynamics of Non-Smooth System. Lecture Notes in Applied Mechanics, vol. 1. Springer, Berlin (2001)

Leine, R.I., van de Wouw, N.: Stability and Convergence of Mechanical Systems with Unilateral Constraints. Lecture Notes in Applied and Computational Mechanics, vol. 36. Springer, Berlin (2008)

Glocker, C., Studer, C.: Formulation and preparation for numerical evaluation of linear complementarity systems in dynamics. Multibody Syst. Dyn. 13(4), 447–463 (2005)

Signorini, A.: Sopra alcune questioni di elastostatica. Atti della Societa Italian per il Progresso della Scienza (1933)

Leine, R.I., van de Wouw, N.: Stability properties of equilibrium sets of non-linear mechanical systems with dry friction and impact. Nonlinear Dyn. 51(4), 551–583 (2008)

Djerassi, S.: Collision with friction; Part A: Newton’s hypothesis. Multibody Syst. Dyn. 21, 37–54 (2009)

Djerassi, S.: Collision with friction; Part B: Poisson’s and Stornge’s hypotheses. Multibody Syst. Dyn. 21, 55–70 (2009)

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)

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)

Jean, M.: The non-smooth contact dynamics method. Comput. Methods Appl. Mech. Eng. 177(3–4), 235–257 (1999)

Pfeiffer, F., Foerg, M., Ulbrich, H.: Numerical aspects of non-smooth multibody dynamics. Comput. Methods Appl. Mech. Eng. 195(50–51), 6891–6908 (2006)

Haug, E.J.: Computer-Aided Kinematics and Dynamics of Mechanical Systems. Volume I: Basic Methods. Allyn and Bacon, Boston (1989)

Nikravesh, P.: Computer-Aided Analysis of Mechanical Systems. Englewood Cliffs, Prentice-Hall (1988)

Moreau, J.J.: Unilateral contact and dry friction in finite freedom dynamics. In: Moreau, J.J., Panagiotopoulos, P.D. (eds.) Non-Smooth Mechanics and Applications. CISM Courses and Lectures, vol. 302, pp. 1–82. Springer, Wien (1988)

Panagiotopoulos, P.D., Glocker, C.: Inequality constraints with elastic impacts in deformable bodies. The convex case. Arch. Appl. Mech. 70(5), 349–365 (2000)

Förg, M., Pfeiffer, F., Ulbrich, H.: Simulation of unilateral constrained systems with many bodies. Multibody Syst. Dyn. 14(2), 137–154 (2005)

Moreau, J.J.: Bounded Variation in Time. In: Moreau, J.J., Panagiotopoulos, P.D., Strang, G. (eds.) Topics in Non-smooth Mechanics, pp. 1–74. Birkhäuser, Basel (1988)

Pfeiffer, F., Glocker, C.: Multibody Dynamics with Unilateral Contacts. Wiley, New York (1996)

Glocker, C.: On frictionless impact models in rigid-body systems. Philosophical Transactions: Math. Phys. Eng. Sci. 359(1789), 2385–2404 (2001)

Anitescu, M., Potra, F.A., Stewart, D.E.: Time-stepping for three-dimensional rigid body dynamics. Comput. Methods Appl. Mech. Eng. 177(3), 183–197 (1999)

Studer, C., Leine, R.I., Glocker, C.: Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics. Int. J. Numer. Methods Eng. 76(11), 1747–1781 (2008)

Greenwood, D.T.: Principles of Dynamics. Englewood Cliffs, Prentice-Hall (1965)

Flores, P.: Contact-impact analysis in multibody systems based on the non-smooth dynamics approach. Post Doctoral Report. ETH-Zurich, Switzerland (2009)