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Buckling analysis and optimal structural design of supercavitating vehicles using finite element technology

  • Byun, Wan-Il (School of Aerospace and Mechanical Engineering, Seoul National University) ;
  • Kim, Min-Ki (School of Aerospace and Mechanical Engineering, Seoul National University) ;
  • Park, Kook-Jin (School of Aerospace and Mechanical Engineering, Seoul National University) ;
  • Kim, Seung-Jo (School of Aerospace and Mechanical Engineering, Seoul National University) ;
  • Chung, Min-Ho (Department of Aerospace Engineering, Inha University) ;
  • Cho, Jin-Yeon (Department of Aerospace Engineering, Inha University) ;
  • Park, Sung-Han (Agency for Defence Development)
  • Published : 2011.12.31

Abstract

The supercavitating vehicle is an underwater vehicle that is surrounded almost completely by a supercavity to reduce hydrodynamic drag substantially. Since the cruise speed of the vehicle is much higher than that of conventional submarines, the drag force is huge and a buckling may occur. The buckling phenomenon is analyzed in this study through static and dynamic approaches. Critical buckling load and pressure as well as buckling mode shapes are calculated using static buckling analysis and a stability map is obtained from dynamic buckling analysis. When the finite element method (FEM) is used for the buckling analysis, the solver requires a linear static solver and an eigenvalue solver. In this study, these two solvers are integrated and a consolidated buckling analysis module is constructed. Furthermore, Particle Swarm Optimization (PSO) algorithm is combined in the buckling analysis module to perform a design optimization computation of a simplified supercavitating vehicle. The simplified configuration includes cylindrical shell structure with three stiffeners. The target for the design optimization process is to minimize total weight while maintaining the given structure buckling-free.

Keywords

References

  1. Ahn, S.S. Ruzzene, M., 2006. Optimal design of cylindrical shells for enhanced buckling stability:Application to supercavitating underwater vehicles. Finite Elements in Analysis and Design, 42, pp. 967-976. https://doi.org/10.1016/j.finel.2006.01.015
  2. Bolotin, V.V., 1964. The dynamic stability of elastic systems. USA, Holden-Day, Inc.
  3. Eberhart, R.C. Kennedy, J., 1995. Particle swarm optimization. In Proceedings IEEE Conference on Neural Networks IV, Piscataway NJ, USA, pp. 1942-1948.
  4. Flugge, W., 1973. Stresses in Shells. Springer, New York.
  5. IPSAP, URL : http://ipsap.snu.ac.kr
  6. Kim, J.H. and Kim, S.J., 1999. A Multifrontal Solver Combined with Graph Partitioners. AIAA Journal, Vol. 38(8), pp. 964-970.
  7. Kim, S.J. Lee, C.S. Kim, J.H., 2003. The large-scale eigen analysis by using the block Lanczos method and parallel Multifrontal solver. 5th International Congress on Industrial and Applied Mathmatics, Sydney, Australia.
  8. Kirschner, I.N. Fine, N.E. Uhlman, J.S. Kring, D.C., 2001. Numerical modeling of suptercavitating flows. RTO AVT Lecture Series on Supercavitating Flows, Von Karman Institute.
  9. Kirschner, I.N. Kring, D.C. Stokes, A.W. Fine, N.E. and Uhlman, J.S., 2002. Control strategies for supercavitating vehicles. Journal of Vibration and Control, 8, pp. 219-242. https://doi.org/10.1177/107754602023818
  10. MacNeal, R.H., 1972. NASTRAN Theoretical manual. The MacNeal-Schwendler Corp.
  11. MacNeal, R.H., 1978. A simple quadrilateral shell element. Computers & Structures, 8, pp. 175-183. https://doi.org/10.1016/0045-7949(78)90020-2
  12. Marcal, P.V., 1969. Finite element analysis of combined problems of material and geometric behavior. Proc. Am. Soc. Mech. Eng. Conf. on Computational Approaches in Applied Mechanics, pp. 133.
  13. Marques, O., 2001. BLZPACK User's Guide.
  14. Martin, H.C., 1966. On the derivation of stiffness matrices for the analysis of large deflection and stability problems. University of Washington, Department of Aeronautics and Astronautics, Roport 66-4.
  15. Moen, C.D. Schafer, B.W., 2009. Elastic buckling of thin plates with holes in compression or bending. Thin-Walled Structures, Vol.47, pp. 1597-1607. https://doi.org/10.1016/j.tws.2009.05.001
  16. Rand, R. Pratap, R. Ramani, D. Cipolla, J. and Kirschner, I., 1997. Impact dynamics of a supercavitating underwater projectile. Proceedings of ASME Design Engineering Technical Conferences (DETC), Sacramento CA, USA.
  17. Ruzzene, M., 2004. Dynamic buckling of periodically stiffened shells: application to supercavitating vechiles. International Journal of Solids and Structures, 41, pp. 1039-1059. https://doi.org/10.1016/j.ijsolstr.2003.10.008
  18. Ruzzene, M., 2004. Non-axisymmetric buckling of stiffened supercaviting shells: static and dynamic analysis. Computers and Structures, 82, pp. 257-269. https://doi.org/10.1016/j.compstruc.2003.09.003
  19. Schenk, O., Gartner, K., 2011. PARDISO : User Guide.
  20. Schutte, J.F. Reinbolt, J.A. Fregly, B.J. Haftka, R.T. and George, A.D., 2004. Parallel global optimization with the particle swarm algorithm. International Journal for Numerical Methods in Engineering, 61(13), pp. 2296-2315. https://doi.org/10.1002/nme.1149
  21. Vasin, A.D., 2001. Some problems of supersonic cavitation flows. Proceedings of the 4th International Symposium on Cavitation, Pasadena CA, USA.
  22. Venter, G. and Sobieszczanski-Sobieski, J., 2002. Multidisciplinary optimization of a transport aircraft wing using particle swarm optimization. 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta GA, USA.
  23. Yoon, Y.H., 2011. Asynchronous particle swarm optimization with redistribution technique and its application to optimal design of satellite adapter-ring. Ph. D thesis, Seoul National University.

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