Implicit Identification of Contact Parameters in a Continuous Chain ModelAuthors: S. Sørensen, M.R. Hansen, M.K. Ebbesen and O.Ø. MouritsenAffiliation: Department of Mechanical and Manufacturing Engineering, Aalborg University, Denmark and Department of Engineering, University of Agder, Grimstad, Norway. Reference: 2011, Vol. 32, No. 1, pp. 1-15. |
Keywords: Contact model, Optimization methods, Experimental measurements, Multibody model.
Abstract: Accurate contact modeling is of great importance in the field of dynamic chain simulations. In this paper emphasis is on contact dynamics for a time-domain simulation model of large chains guided in a closed loop track. The chain model is based on theory for unconstrained rigid multibody dynamics where contact within the chain and with the track is defined through continuous point contacts using the contact indentation and rate as means. This paper presents an implicit method to determine contact parameters of the chain model through the use of none gradient optimization methods. The set of model parameters are estimated by minimizing the residual between simulated and measured results. The parameter identification is tested on four different formulations of the Hunt-Crossly hysteresis damping factor with the aim of recognizing a superior model.
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DOI: 10.4173/mic.2011.1.1
DOI forward links to this article:
[1] Søren Emil Sørensen Michael R. Hansen Morten K. Ebbesen Ole Ø. Mouritsen, (2012), doi:10.1007/s00158-011-0743-7
References:
[1] Flores, P., Ambrosio, J., Claro, J., and Lankarani, H. Dynamics of multibody systems with spherical clearance joints. Journal of Computational and Nonlinear Dynamics, 2006, 1, 240-247, 2006. 1:240--247. doi:10.1115/1.2198877.
[2] Gonthier, Y., Mcphee, J., Langer, C., and Piedbøeuf, J.-C. A regularized contact model with asymmetric damping and dwell-time dependent friction. Multibody System Dynamics, 2004, 11, 209-233, 2004. 11:209--233. doi:10.1023/B:MUBO.0000029392.21648.bc.
[3] Herbert, R. and McWhannell, D. Shape and frequency composition of pulses from an impact pair. Journal of Engineering for Industry, 1977, 99, 513-518, 1977. 99:512--518. doi:10.1115/1.3439270.
[4] Hertz, H. Über die Berürung Fester Elasticher Körper. Journal für die Reine und Gewandte Mathematik, 1882. 92:156--171.
[5] Hunt, K. and Crossley, F. Coefficient of restitution interpreted as damping in vibroimpact. Journal of Applied Mechanics, 1975. 42:440--445.
[6] Kwok, N., Ha, Q., Nguyen, T., Li, B., and Samali, B. A novel hysteretic model for magnetorheological fluid dampers and parameter identification using particle swarm optimization. Sensors and Actuators A, 2006. 132:441--451. doi:10.1016/j.sna.2006.03.015.
[7] Labous, L., Rosato, A.D., and Dave, R.N. Measurements of collisional properties of spheres using high-speed video analysis. Physical review E, 1997. 56(5):5717--5725. doi:10.1103/PhysRevE.56.5717.
[8] Lankarani, H.M. and Nikravesh, P.E. A contact force model with hysteresis damping for impact analysis of multibody system. Journal of Mechanical Design, 1990. 112:369--376. doi:10.1115/1.2912617.
[9] Lankarani, H.M. and Nikravesh, P.E. Continuous contact force models for impact analysis in multibody systems. Nonlinear Dynamics, 1994. 5:193--207.
[10] Lederer, D., Igarashi, H., Kost, A., and Honma, T. On the parameter identification and application of the jiles-atherton hysteresis model for numerical modelling of measured characteristics. IEEE Transactions on Magnetics, 1999. 35(3):1211--114. doi:10.1109/20.767167.
[11] Lee, T.W. and Wang, A. On the dynamics of intermittent-motion mechanisms. Journal of Mechanisms, Transmission, and Automation in design, 1983. 105:534--540.
[12] Manetsch, T. Toward efficient global optimization in large dynamic systems - the adaptive complex method. IEEE Transaction on Systems, Man, and Cybernetics, 1990. 20(1):257--261. doi:10.1109/21.47827.
[13] Moreira, P., Silva, M., and Flores, P. A biomechanical multibody foot model for forward dynamic analysis. In The 1st joint International Conference on Multibody System Dynamics. Lappeenranta, Finland, 2010.
[14] Pedersen, S.L. Model of contact between rollers and sprockets in chain-drive systems. Applied Mechanics, 2006. 74:489--508.
[15] Pedersen, S.L., Hansen, J.M., and Ambr\'osio, J.A. A roller chain drive model including contact with guide-bars. Multibody System Dynamics, 2004. 12:285--301. doi:10.1023/B:MUBO.0000049131.77305.d8.
[16] Press, W., Teukolsky, S., Vetterling, W., and Flannery, B. Numerical Recipes in Fortran 90: The art of Parallel scientific Computation. 2. ed. Cambridge University Press, 1996.
[17] Seifried, R., Schiehlen, W., and Eberhard, P. The role of the coefficient of restitution on impact problems in multi-body dynamics. Journal of Multi-body Dynamics, Part K, 2010. 224:279--306. doi:10.1243/14644193JMBD239.
[18] Serban, R. and Freeman, J. Identification and identifiability of unknown parameters in multibody dynamics systems. Multibody System Dynamics, 2001. 5:335--350. doi:10.1023/A:1011434711375.
[19] Shi, X. and Polycarpou, A. Measurement and modelling of normal contact stiffness and contact damping at the meso scale. Journal of Vibration and Acoustics, 2009. 127(1):52--60. doi:10.1016/j.jsv.2005.09.021.
[20] Sondergaard, R., Chaney, K., and Brennen, C.E. Measurements of solid spheres bouncing off flat plates. Journal of Applied Mechanics, 1990. 57:694--699.
[21] Sørensen, S.E., Hansen, M.R., Ebbesen, M.K., and Mouritsen, O.Ø. An experimentally verified model for time domain simulation of large scale material handling chains. the 1st joint international conference on multibody system dynamics. In The 1st joint International Conference on Multibody System Dynamics. Lappeenranta, Finland, 2010.
[22] Sørensen, S.E., Hansen, M.R., Ebbesen, M.K., and Mouritsen, O.Ø. Time domain simulation of large scale material handling chains using an unconstrained formulation. Journal of Multi-body Dynamics (Under revison), 2011.
[23] Ta, M.-N. and Lardies, J. Identification of weak nonlinearities on damping and stiffness by continuous wavelet transform. Journal of Sound and Vibration, 2006. 293:16--37. doi:10.1016/j.jsv.2005.09.021.
[24] Ursem, R.K. and Vadstrup, P. Parameter identification of induction motors using differential evolution. In The 2003 Congress Evolutionary Computation. Canberra, Australia, pages 790--796, 2003.
[25] Zhang, Y. and Shaft, I. Validation of nonlinear viscoelastic contact force models for low speed impact. Journal of Applied Mechanics, 2009. 76:051002--1--051002--12. doi:10.1115/1.3112739.
BibTeX:
@article{MIC-2011-1-1,
title={{Implicit Identification of Contact Parameters in a Continuous Chain Model}},
author={S.E. Sørensen and M.R. Hansen and M.K. Ebbesen and O.Ø. Mouritsen},
journal={Modeling, Identification and Control},
volume={32},
number={1},
pages={1--15},
year={2011},
doi={10.4173/mic.2011.1.1},
publisher={Norwegian Society of Automatic Control}
};


