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Multibody Analysis of Controlled Aeroelastic Systems on Parallel Computers

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Abstract

The paper describes the application of parallel techniques to amultibody multidisciplinary formulation. The problem is stated interms of a system of nonlinear Differential-Algebraic Equations(DAE). The parallel solution is obtained using a sub-structuringdomain decomposition method, that is able to exploit thecharacteristic quasi-monodimensional topology that multibodymodels usually present. The presence of explicit constraints inform of algebraic equations requires particular care in thetreatment of the related unknowns, to avoid local singularityproblems. The code has been successfully tested on differentcomputer architectures. Special attention has been dedicated toproduce a code that will efficiently work on a cluster of PCs.Results of three test problems, regarding the simulation of anonlinear beam bending and of complex aeroservomechanical systemsas an helicopter rotor and a tiltrotor aircraft, are presented.

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References

  1. Bae, D.-S., Hwang, R.-S. and Haug, E.J.,‘A recursive formulation for real-time dynamic simulation of mechanical systems’ Journal of Mechanical Design 113, 1991, 158–166.

    Google Scholar 

  2. Bae, D.-S., Kuhl, J.G. and Haug, E.J.,‘A recursive formulation for constrained mechanical system dynamics: Part III. Parallel processor implementation’ Mechanics of Structures and Machines 16(2), 1988, 249–269.

    Google Scholar 

  3. Bauchau, O.A. and N. K. Kang, N.K.,‘A multibody formulation for helicopter structural dynamic analysis’ Journal of the American Helicopter Society 38(2), 1993, 3–14.

    Google Scholar 

  4. Bjø rstad, P.E. and Hvidsten, A.,‘Iterative methods for substructured elasticity problems in structural analysis’ in Domain Decomposition Methods for Partial Differential Equations, Philadelphia, PA, G.M.R. Glowinski, G. Golub, A. Meurant and J. Périaux (eds.), SIAM, Philadelphia, PA, 1988, 301–312.

    Google Scholar 

  5. Brenan, K.E., Campbell, S.L.V. and Petzold, L.R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, North-Holland, Amsterdam, 1989.

    Google Scholar 

  6. Burrage, K.,‘Parallel methods for ODEs’ Adv. Comp. Maths. 7, 1997, 1–2.

    Google Scholar 

  7. Cardona, A.,‘An integrated approach to mechanism analysis’ Ph.D. Thesis, Université de Liè ge, 1989.

  8. Duff, I.S. and van der Vost, H.A.,‘Developments and trends in the parallel solution of linear systems’ Technical Report TR/PA/99/10, CERFACS, Toulouse, France, 1999.

    Google Scholar 

  9. Farhat, C. and Roux, F.X.,‘A method of finite tearing and interconnecting and its parallel solution algorithm’ Comput. Methods Appl. Mech. Engrg. 32, 1991, 1205–1227.

    Google Scholar 

  10. Foster, I., Designing and Building Parallel Programs, Addison-Wesley, Reading, MA, 1995.

    Google Scholar 

  11. Frank, J. and Vuik, K.,‘Parallel implementation of multiblock with approximate subdomain solution’ Appl. Numer. Math. 30(2/3), 1999, 403–423.

    Google Scholar 

  12. Garey, M.R., Johnson, D.S. and Stockmeyer, L.,‘Some simplified NP-complete graph problems’ Theoret. Comput. Sci. 1, 237–267.

  13. Ghiringhelli, G.L. and Mantegazza, P.,‘Linear, straight and untwisted anisotropic beam section properties from solid finite elements’ Composites Engrg. 4(12), 1994, 1225–1239.

    Google Scholar 

  14. Ghiringhelli, G.L., Masarati, P. and Mantegazza, P.,‘Characterisation of anisotropic, nonhomogeneous beam sections with embedded piezo-electric materials’ J. Intell. Mater. Systems & Struct. 8(10), 1997, 842–858.

    Google Scholar 

  15. Ghiringhelli, G.L., Masarati, P. and Mantegazza, P.,‘A multi-body implementation of finite volume beams’ AIAA J. 38(1), 2000, 131–138.

    Google Scholar 

  16. Ghiringhelli, G.L., Masarati, P. and Mantegazza, P.,‘Analysis of an actively twisted rotor by multi-body global modelling’ Composite Struct. 52(1), 2001, 113–122.

    Google Scholar 

  17. Ghiringhelli, G.L., Masarati, P., Mantegazza, P. and Nixon, M.W.,‘Multi-body analysis of a tiltrotor configuration’ Nonlinear Dynam. 19(4), 1999, 333–357.

    Google Scholar 

  18. Giavotto, V., Borri, M., Mantegazza, P., Ghiringhelli, G.L., Caramaschi, V., Maffioli, G.C. and Mussi, F.,‘Anisotropic beam theory and applications’ Comput. & Struct. 16(1-4), 1983, 403–413.

    Google Scholar 

  19. Harris, F.D., Tarzanin Jr., F.J. and Fisher Jr., R.K.,‘Rotor high speed performance, Theory vs. test’ J. Amer. Helicopter Soc. 15(3), 1970, 35–41.

    Google Scholar 

  20. Haug, E.J., Computer Aided Kinematics and Dynamics of Mechanical Systems. Vol. 1: Basic Methods, Allyn and Bacon, Boston, MA, 1989.

    Google Scholar 

  21. Karypis, G. and Kumar, V.,‘A fast and high quality multilevel scheme for partitioning irregular graphs’ SIAM J. Sci. Comput. 20, 1998, 359–392.

    Google Scholar 

  22. Kelley, C., Iterative Methods for Linear and Nonlinear Equations, SIAM, Philadelphia, PA, 1995.

    Google Scholar 

  23. Le Tallec, P., Computational Mechanics Advances, North-Holland, Amsterdam, 1994, 121–220.

    Google Scholar 

  24. Le Tallec, P. and Vidrascu, M.,‘Solving large scale structural problems on parallel computers using domain decomposition techniques’ in Parallel Solution Methods in Computational Mechanics, M. Papadrakakis (ed.), John Wiley & Sons, Chichester, UK, 1997, 49–85.

    Google Scholar 

  25. Masarati, P., Lanz, M. and Mantegazza, P.,‘Multistep integration of ordinary, stiff and differential-algebraic problems for multibody dynamics applications’ in XVI Congresso Nazionale AIDAA, Palermo, G. Davì (ed.), AIDAA, 2001, 71-1–10.

  26. Message Passing Interface Forum,‘MPI: A message passing interface standard’ Technical Report, University of Tennessee, Knoxville, TN, 1995.

    Google Scholar 

  27. Nixon, M.W., Langston, C.W. Singleton, J.D., Piatak, D.J., Kvaternik, R.G., Corso, L.M. and Brown, R.,‘Aeroelastic stability of a soft-in-plane gimballed tiltrotor model in hover’ in AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA, Seattle, WA, 2001, 2001–1533.

    Google Scholar 

  28. Pitt, D.M. and Peters, D.A.,‘Theoretical prediction of dynamic-inflow derivatives’ Vertica 5, 1981, 21–34.

    Google Scholar 

  29. Przemieniecki, J.S., Theory of Matrix Structural Analysis, McGraw-Hill, New York, 1968.

    Google Scholar 

  30. Saad, Y., Iterative Methods for Sparse Linear Systems, PWS Publishing Company, Boston, MA, 1996.

    Google Scholar 

  31. Simo, J.C. and Vu-Quoc, L.,‘A three-dimensional finite strain rod model. Part II: Computational aspects’ Comput. Methods Appl. Mech. Engrg. 58, 1986, 79–116.

    Google Scholar 

  32. Smith, B., Bjø rstad, P. and Gropp,W., Domain Decomposition. Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge University Press, Cambridge, 1996.

    Google Scholar 

  33. Snir, M., Otto, S., Huss-Lederman, S., Walker, D. and Dongarra, J., MPI: The Complete Reference, MIT Press, Cambridge, MA, 1996.

    Google Scholar 

  34. Sterling, T., Becker, D., Savarese, D., Dorband, J., Ranawake, U. and Packer, C.,‘BEOWULF: A parallel workstation for scientific computation’ in Proceedings of the 24th International Conference on Parallel Processing, Oconomowoc, WI, 1995, I:11–14.

    Google Scholar 

  35. Wilkie, W.K., Park, K.C. and Belvin, W.K.,‘Helicopter dynamic stall suppression using piezoelectric active fiber composite rotor blades’ in AIAA/ASME/AHS Structures, Structural Dynamics and Materials Conference, Long Beach, CA, AIAA-98-2002, 1998.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, 34 via La Masa, 20156, Milano, Italy

    Giuseppe Quaranta, Pierangelo Masarati & Paolo Mantegazza

Authors
  1. Giuseppe Quaranta
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  2. Pierangelo Masarati
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  3. Paolo Mantegazza
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Quaranta, G., Masarati, P. & Mantegazza, P. Multibody Analysis of Controlled Aeroelastic Systems on Parallel Computers. Multibody System Dynamics 8, 71–102 (2002). https://doi.org/10.1023/A:1015894729968

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