Dynamical analysis of a constrained flexible extensible link with rigid support and clearance

• Autorzy: Dupac M
• Języki publikacji: EN

Abstrakty

EN

Dynamic response of robotic systems is affected by deformation of their flexible components, velocity and mass of the systems, as well as by the presence of clearance or impact between the components. Since accurate simulations of such robotic systems are increasingly important, the modelling and dynamical behaviour of an extensible mechanism with a rigid crank and a flexible link is investigated in this paper. The equations of motion of the extensible flexible link, constrained to a circular, Cartesian, elliptical, Cassinian, Lame or pear-shaped quartic path, are presented. A dynamical analysis is carried out in order to compare the dynamical response of the flexible link vs. a rigid link under the combined effect of different parameters such as flexibility and clearance. The simulation result shows clear trajectories divergence due to the impact effect of the flexible link on the rigid crank.

Słowa kluczowe

EN

multibody dynamics; impact analysis; contact forces

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2014
• Tom: Vol. 52 nr 3
• Strony: 665--676
• Opis fizyczny: Bibliogr. 31 poz., rys. tab.

Twórcy

autor

Dupac M

• School of Design, Engineering and Computing Bournemouth University, Dorset, United Kingdom

Bibliografia

• 1. Awrejcewicz J., Kudra G., Lamarque C.-H., 2004, Investigation of triple physical pendulum with impacts using fundamental solution matrices, International Journal of Bifurcation and Chaos, 14, 12, 4191-4213
• 2. Beale D., Lee S.W., Boghiu D., 1998, An analytical study of fuzzy control of a flexible rod mechanism, Journal of Sound and Vibration, 210, 1, 37-52
• 3. Boghiu D., Marghitu D., Sinha S.C., 1996, Stability and control of a parametrically excited rotating beam, 6th Conference on Nonlinear Vibrations, Stability and Dynamics of Structures, 163-169
• 4. Brach R.M., 1989, Rigid body collisions, Journal of Applied Mechanics, 56, 133-138
• 5. Dupac M., 2013, A virtual prototype of a constrained extensible crank mechanism: dynamic simulation and design, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-Body Dynamics, 227, 3, 201-210
• 6. Dupac M., 2012, The dynamics of an extensible link with one and two moving ends, Annals of University of Craiova, Mathematics and Computer Science Series, 39, 1, 48–54
• 7. Dupac M., Beale D.G., 2010, Dynamic analysis of a flexible linkage mechanism with cracks and clearance, Mechanism and Machine Theory, 45, 12, 1909-1923
• 8. Dupac M., Marghitu D.B., 2006, Nonlinear dynamics of a flexible mechanism with impact, Journal of Sound and Vibration, 289, 952-966
• 9. Filipich C. P., Rosales M.B., 2000, A further study on the post buckling of extensible elastic rods, International Journal of Non-Linear Mechanics, 35, 997-1022
• 10. Flores P., Leine R., 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, 23, 165-190
• 11. Flores P., Machado M., Silva M.T., Martins J.M., 2011, On the continuous contact force models for soft materials in multibody dynamics, Multibody System Dynamics, 25, 357-375
• 12. Fritzkowski P., Kaminski H., 2009, Dynamics of a rope modeled as a discrete system with extensible members, Computational Mechanics, 44, 473-480
• 13. Garcia J., Bayo J.E., 1994, Kinematic and Dynamic Simulation of Multibody Systems, Springer, New York
• 14. Izumi T., Hitaka Y., 1993, Control of impact for a hammering robot using a flexible link, [In:] Robotics, Mechatronics and Manufacturing Systems, Takamori T., Tsuchiya K. (Edit.), Elsevier, 327-332
• 15. Jin C., Fan L., Qiu Y., 2004, The vibration control of a flexible linkage mechanism with impact, Communications in Nonlinear Science and Numerical Simulation, 9, 459-469
• 16. Khemili I., Romdhane L., 2008, Dynamic analysis of a flexible slider-crank mechanism with clearance, European Journal of Mechanics A/Solids, 27, 882-898
• 17. Kvecses, J., Cleghorn, W. L., 2004, Impulsive dynamics of a flexible arm: analytical and numerical solutions, Journal of Sound and Vibration, 269, 12, 183-195
• 18. Lankarani H.M., Nikravesh P.E., 1990, A contact force model with hysteresis damping for impact analysis of multibody systems, Journal of Mechanical Design, 112, 369-376
• 19. Lebedev L.P., Vorovich I. I., Gladwell G.M.L., 2000, Functional Analysis: Applications in Mechanics and Inverse Problems, Kluwer Academic Publishers, Dordrecht
• 20. Lee S.Y., Sheu J.J., 2007, Free vibration of an extensible rotating inclined Timoshenko beam, Journal of Sound and Vibration, 304, 606-624
• 21. Liu S., Wu L., Lu Z., 2007, Impact dynamics and control of a flexible dual-arm space robot capturing an object, Applied Mathematics and Computation, 185, 2, 1149-1159
• 22. Machado M., Moreira P., Flores P., Lankarani H.M., 2012, Compliant contact force models in multibody dynamics: Evolution of the Hertz contact theory, Mechanism and Machine Theory, 53, 99-121
• 23. Marghitu D.B., Sinha S.C., Diaconescu C., 1999, Control of a parametrically excited flexible beam undergoing rotations and impacts, Multibody System Dynamics, 3, 47-63
• 24. Mitiguy P., Banerjee A.K., 2000, Determination of spring constants for modeling flexible beams, Working Model Technical Paper
• 25. Rubinstein D., 1999, Dynamics of a flexible beam and a system of rigid rods, with fully inverse (one-sided) boundary conditions, Computational Methods Applied Mechanical Engineering, 175, 87-97
• 26. Ryan R.R., 1990, ADAMS-Multibody System Analysis Software, Multibody Systems Handbook, Springer-Verlag, Berlin
• 27. Sharf I., Zhang Y., 2006, A contact force solution for non-colliding contact dynamics simulation, Multibody System Dynamics, 16, 263-290
• 28. Stoenescu E. D., Marghitu D.B., 2003, Dynamic analysis of a planar rigid-link mechanism with rotating slider joint and clearance, Journal of Sound and Vibration, 266, 394-404
• 29. Yang Y., Ren W., Chen L., Jiang M., Yang Y., 2009, Study on ride comfort of tractor with tandem suspension based on multi-body system dynamics, Applied Mathematical Modelling, 33, 11-33
• 30. Zhang D.-G., Angeles J., 2005, Impact dynamics of flexible-joint robots, Computers and Structures, 83, 1, 25-33
• 31. Zhuang F., Wang Q., 2012, Modeling and simulation of the nonsmooth planar rigid multibody systems with frictional translational joints, Multibody System Dynamics, http://link.springer.com/article/10.1007/s11044-012-9328-5