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Enhanced chain dynamics in loop-sorting-systems by means of layout optimization and a kinematic model of the polygon action

  • Søren Emil Sørensen
  • Michael R. Hansen
  • Morten K. Ebbesen
  • Ole Ø. Mouritsen
Industrial Application

Abstract

Poor dynamics owing to polygon action is a known concern in mechanical applications of closed articulated chains. In this paper a kinematic model of the polygon action in large chains of loop-sorting-systems is proposed. Through optimization techniques the chain dynamics is improved by minimizing the polygon action using a parametric model of the track layout as design variables. Three formulations of the kinematic polygon action are tested on an average sized planer tracks layout to find a superior model. Verification of the proposed optimization method is performed using a state-of-the-art multi-body simulation model of the chain dynamics.

Keywords

Loop-sorting-systems Polygon action Optimization Multi-body dynamics 

Notes

Acknowledgments

We would like to thank the Danish Agency for Science Technology and Innovation (www.fi.dk) for financing the industrial Ph.D. project “Automatic Design of Sorting Systems”. We would also like to thank Crisplant A/S (www.Crisplant.com) for being most kind in providing information and materials for the presented optimization method.

References

  1. Box MJ (1965) A new method of Constrained optimization and comparison with other methods. Comput J 8:42–52MathSciNetzbMATHGoogle Scholar
  2. Choi JH, Lee HC, Shabana AA (1998) Spatial dynamics of multibody tracked vehicles part I: spatial equations of motion. Veh Syst Dyn 29(1):27–49CrossRefGoogle Scholar
  3. Ebbesen MK (2008) Optimal design of flexible multibody systems. PhD thesis, Department of Mechanical Engineering, Aalborg University, DenmarkGoogle Scholar
  4. Ebbesen MK, Hansen MR, Pedersen NL (2006) Design optimization of conveyor systems, III European conference on computational mechanics solids. Structures and coupled problems in engineering. Lisbon, Portugal, pp 5–8Google Scholar
  5. Hunt KH, Crossley FRE (1975) Coefficient of restitution interpreted as damping in vibroimpact. ASME J Appl Mech 42:440–445CrossRefGoogle Scholar
  6. Lee HC, Choi JH, Shabana AA (1998) Spatial dynamics of multibody tracked vehicles part II: spatial equations of motion. Veh Syst Dyn 29(2):113–137CrossRefGoogle Scholar
  7. Manetsch TJ (1990) Toward efficient global optimization in large dynamic systems—the adaptive complex method. IEEE Trans Syst Man Cybern 20(1):257–261CrossRefGoogle Scholar
  8. Mahalingam S (1958) Polygonal actions in chain drives. J Franklin Inst 265:23–28CrossRefGoogle Scholar
  9. Pedersen SL (2005) Model of contact between rollers and sprockets in chain-drive systems. Appl Mech 74:489–508zbMATHGoogle Scholar
  10. Pedersen SL, Hansen JM, Ambrósio AC (2004) A roller chain drive model including contact with guide-bars. Multibody Syst Dyn 12:285–301zbMATHCrossRefGoogle Scholar
  11. Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1996) Numerical recipes in fortran 90: the art of parallel scientific computation, 2nd edn. Cambridge University PressGoogle Scholar
  12. Sørensen SE, Hansen MR, Ebbesen MK, Mouritsen OØ (2011a) Time domain simulation of large scale material handling chains using an unconstrained formulation. J Multi-body Dyn 225:95–110Google Scholar
  13. Sørensen SE, Hansen MR, Ebbesen MK, Mouritsen OØ (2011b) Implicit identification of contact parameters in a continuous chain model. MIC 32(1):1–15CrossRefGoogle Scholar
  14. Sørensen SE, Hansen MR, Ebbesen MK, Mouritsen OØ (2011c) Non-linear optimization of track layouts in loop-sorting-systems. Journal of Automation in Construction (Under revision. submitted april 2011)Google Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Søren Emil Sørensen
    • 1
  • Michael R. Hansen
    • 2
  • Morten K. Ebbesen
    • 2
  • Ole Ø. Mouritsen
    • 1
  1. 1.Department of Mechanical and Manufacturing EngineeringAalborg UniversityAalborgDenmark
  2. 2.Department of EngineeringUniversity of AgderGrimstadNorway

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