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Optimization of the Rigid Body Mechanism in a Wobble Plate Compressor

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Abstract

A complex mechanical system is optimized with respect to its performance. The mechanism is a compressor, which is modeled as a multibody system. The optimization is first performed on a simplified 2D model, where it is possible to find analytical sensitivities, and the results indicate that the mechanism can be optimized. Optimization is finally performed with numerical sensitivities, from a full 3D mechanism simulation with 20 bodies, and the results show that the desired change of performance is obtained. For the optimization procedure the SLP method (sequential linear programming) is used with good results, and although the paper deals with optimization of a specific mechanism, the procedure can be modified to treat also other mechanical systems.

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References

  1. García de Jalón, J. and Bayo, E., Kinematic and Dynamic Simulation of Multibody Systems: The Real-Time Challenge, Springer-Verlag, New York, 1994, 440.

    Google Scholar 

  2. Haug, E.J., Computer-Aided Kinematics and Dynamics of Mechanical Systems, Volume I: Basic Methods, Allyn and Bacon, Boston, 1989, 498.

    Google Scholar 

  3. Nikravesh, P.E., Computer-Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, NJ, 1988, 370.

    Google Scholar 

  4. Pagalday, J.M., Aranburu, I., Avello A. and García de Jalón, J., 'Multibody dynamics optimization by direct differentiation methods using object oriented programming', in IUTAM Symposium on Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 213–220.

    Google Scholar 

  5. Hansen, J.M. and Tortorelli, D.A., 'An efficient method for synthesis of mechanisms using an optimization method', in IUTAM Symposium on Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 129–138.

    Google Scholar 

  6. Hansen, J.M. and Tortorelli, D.A., 'Sensitivity analysis of mechanisms based on the joint coordinate method', in WCSMO1First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, N. Olhoff and G.I.N. Rozvany (eds), Pergamon, Oxford, 1995, 871–876.

    Google Scholar 

  7. Bestle, D. and Eberhard, P., 'Multi-criteria multi-model design optimization', in IUTAM Symposium on Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 33–40.

    Google Scholar 

  8. Eberhard, P., Bestle, D. and Piram, U., 'Optimization of damping characteristics in nonlinear dynamic systems', in WCSMO1 First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, N. Olhoff and G.I.N. Rozvany (eds), Pergamon, Oxford, 1995, 863–870.

    Google Scholar 

  9. Dias, J.M. and Pereira, M.S., 'Design for vehicle crashworthiness using multibody dynamics', International Journal of Vehicle Design 15(6), 1994, 563–577.

    Google Scholar 

  10. Wolfram, S., The Mathematica Book, 3rd edn., Wolfram Media, Cambridge University Press, Cambridge, MA, 1996, 1403.

    Google Scholar 

  11. Pedersen, P., 'Design with several eigenvalue constraints by finite elements and linear programming', Journal of Structural Mechanics 10(3), 1982–83, 243–271.

    Google Scholar 

  12. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P., Numerical Recipes, Cambridge University Press, Cambridge, MA, 1986, 963.

    Google Scholar 

  13. IMSL Math/Library, User's Manual, IMSL Inc., Houston, TX, 1991.

    Google Scholar 

  14. Pedersen, N.L. and Pedersen, M.L., 'A direct derivation of the equations of motion for 3D-flexible mechanical systems', International Journal of Numerical Methods in Engineering (accepted).

  15. Shampine, L.F. and Gordon, M.K., Computer Solution of Ordinary Differential Equations: The Initial Value Problem, Freeman, San Francisco, CA, 1975.

    Google Scholar 

  16. Tortorelli, D.A. and Michaleris, P., 'Design sensitivity analysis: Overview and review', Inverse Problems in Engineering 1, 1994, 71–105.

    Google Scholar 

  17. Bestle, D. and Schiehlen, W. (eds), IUTAM Symposium on Optimization of Mechanical Systems, Proceedings IUTAM Symposium, Kluwer Academic Publishers, Dordrecht, 1995, 366.

    Google Scholar 

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Authors and Affiliations

  1. Department of Solid Mechanics, Technical University of Denmark, Building 404, DK-2800, Lyngby, Denmark

    Niels L. Pedersen

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  1. Niels L. Pedersen
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Pedersen, N.L. Optimization of the Rigid Body Mechanism in a Wobble Plate Compressor. Multibody System Dynamics 1, 433–448 (1997). https://doi.org/10.1023/A:1009728914730

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