Abstract
During simultaneous impacts in linkages connected by joints, there can be several sequences of pair-wise impulse propagation and the choice of the most accurate sequence involves a combinatorial evaluation of all possible impulse sequences. In this paper, a simultaneous impact algorithm for planar frictionless constrained multibody systems is proposed that does not require an impulse propagation sequence to be determined. The formulation is developed by extending the generalized Newtonian restitution model for simultaneous impacts in unconstrained rigid bodies presented in [1] to planar linkages connected by frictionless joints. The algorithm is a computationally efficient alternative to the modeling of collisions in force-based continuous-time domains [2, 3], never results in an increase in kinetic energy (K.E.) [1] and predicts contact separation between bodies having zero pre-impact relative velocity of approach. Results using the proposed algorithm showing various collision scenarios in constrained linkages are included in the paper. Furthermore, the solutions are compared with linear complementarity (LCP) [4]-based approach and simulation results from ADAMS software.
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References
Rakshit S, Chatterjee A (2015) Scalar generalization of newtonian restitution for simultaneous impact. Int J Mechan Sci 103:141–157
Mills JK, Neguyen CV (1992) Robotic manipulator collisions: modeling and simulation. ASME J Dyn Syst Measur Control 114(4):650–659
Lankarani HM, Nikravesh P (1994) Continuous contact force models for impact analysis of multibody systems. Nonlinear Dyn 5(2):193–207
Anitescu M, Potra FA (1997) Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Nonlinear Dyn 14(3):231–247
Wehage RA, Haug EJ (1982) Dynamic analysis of mechanical systems with intermittent motion. J Mechan Design 104(4):778–784
Seifried R, Schiehlen W, Eberhard P (2010) The role of coefficient of restitution on impact problems in multi-body dynamics. In: Proceedings of the institution of mechanical engineers, Part K: Journal of Multi-body Dynamics, vol 224, no 3, pp 279–306
Lee SH, Yi BJ, Kwak YK (2000) Modeling and analysis of internal impact for general classes of robotic mechanisms. In: International conference on intelligent robots and systems, pp 1955–1962, IEEE/RSJ
Glocker C (2004) Concepts for modeling impacts without friction. Acta Mechanica 168(1):1–19
Smith B et al (2012) Reflections on simultaneous impact. ACM Trans Graph 31(4):1–12
Shabana AA (2010) Computational dynamics, 3rd edn. Wiley
Sapietová A et al (2015) Analysis of the influence of input function contact parameters of the impact force process in the MSC. ADAMS. In: Advanced mechatronics solutions, advances in intelligent systems and computing, vol 393, pp 243–253. Springer, Cham
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Kabiraj, K., Rakshit, S. (2023). A New Method for Solving Simultaneous Impact Problems in Constrained Multibody Systems. In: Gupta, V.K., Amarnath, C., Tandon, P., Ansari, M.Z. (eds) Recent Advances in Machines and Mechanisms. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-3716-3_8
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DOI: https://doi.org/10.1007/978-981-19-3716-3_8
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