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Different dynamic formulations for a mechanism using Bond Graph

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
For modeling dynamics of mechanisms, various classical formulations are available in theliterature. The equations of dynamics given by various classical formulations can also bederived from the bond graph. The bond graph is a convenient graphical representation formodeling dynamics of physical systems in multi-energy domains.In this paper, various alternative causality assignment procedures in the bond graphare used to derive different classical formulations such as the Lagrange’s equations of thefirst kind (withmultipliers), Lagrange’s formulation of the second kind, and Hamiltonianformulations. An example of the quick return mechanism has been modeled using the bondgraph technique, and various alternative causality assignment procedures are applied toderive the various formulations. Simulation coding has been done using MATLAB andresults have been analyzed and discussed. The purpose of this paper is to show how thevarious formulations can be obtained from bond graph using various alternative causalityassignment procedures.
Rocznik
Strony
241--264
Opis fizyczny
Bibliogr. 15 poz., tab., wykr.
Twórcy
  • Department of Mechanical Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar - 144011, Punjab, India
autor
  • Department of Mechanical Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar - 144011, Punjab, India
Bibliografia
  • 1. F.T. Brown, Lagrangian bond graphs, Journal of Dynamic Systems, Measurement, and Control , 94 (3): 213–221, 1972.
  • 2. R.M. Murray, Z. Li, S.S. Sastry, A Mathematical Introduction to Robotic Manipulation , CRC Press, 1994.
  • 3. H. Goldstein, Classical Mechanics, Second Edition , Narosa Publishing House, 1998.
  • 4. F.T. Brown, Bond graphs for nonholonomic dynamic systems, Journal of Dynamic, Measurement, and Control , 98 (4): 361–366, 1976, doi: 10.1115/1.3427052.
  • 5. D. Karnopp, Understanding multibody dynamics using bond graph representations, Journal of the Franklin Institute , 334 (4): 631–642, 1997, doi: 10.1016/S0016-0032(96)00083-X.
  • 6. A. Mukherjee, R. Karmarkar, Modelling and Simulation of Engineering Systems through Bondgraphs , Narosa Publishing House, 2000.
  • 7. D.C. Karnopp, D.L. Margolis, R.C. Rosenberg, System Dynamics: Modeling and Simulation of Mechatronic Systems , John Wiley & Sons Inc., 2012.
  • 8. A. Mukherjee, R. Karmarkar, A.K. Samantaray, Bond Graph in Modeling, Simulation and Fault Identification , I.K. International Publishing House Pvt. Ltd, 2006.
  • 9. D.C. Karnopp, D. Margolis, R.C. Rosenberg, System Dynamics: Modeling and Simulation of Mechatronic Systems , New York: Wiley-Interscience, 2006.
  • 10. W. Borutzky, Bondgraph Methodology: Development and Analysis of Multidisciplinary Dynamic System Models , London: Springer-Verlag, 2010.
  • 11. R. Merzouki, A.K. Samantaray, P.M. Pathak, B.O. Bouamama, Intelligent Mechatronic Systems: Modeling, Control and Diagnosis , London: Springer-Verlag, 2013, doi: 10.1007/978-1-4471-4628-5.
  • 12. W. Marquis-Favre, S. Scavarda, Alternative causality assignment procedures in bond graph for mechanical systems, Journal of Dynamic Systems, Measurement, and Control , 124 (3): 457–463, 2002.
  • 13. D. Karnopp, Lagrange’s equations for complex bond graph systems, Journal of Dynamic Systems, Measurement, and Control , 99 (4): 300–306, 1977, doi: 10.1115/1.3427123.
  • 14. F.T. Brown, Hamiltonian and Lagrangian bond graphs, Journal of the Franklin Institute , 328 (5–6): 809–831, 1991.
  • 15. L.F. Shampine, M.W. Reichelt, The MATLAB ODE Suite, SIAM Journal on Scientific Computing , 18 (1): 1–22, 1997.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ef2a668d-ad19-4e19-ad46-90f295e80e40
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