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

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.

[1]  A. Stokes,et al.  Control Strategies For Supercavitating Vehicles , 2002 .

[2]  Massimo Ruzzene,et al.  Optimal design of cylindrical shells for enhanced buckling stability: application to supercavitating underwater vehicles , 2006 .

[3]  Richard H. Macneal,et al.  A simple quadrilateral shell element , 1978 .

[4]  Ivan N. Kirschner,et al.  Numerical Modeling of Supercavitating Flows , 2001 .

[5]  R. Rand,et al.  IMPACT DYNAMICS OF A SUPERCAVITATING UNDERWATER PROJECTILE , 1997 .

[6]  Anatoly D. Vasin.  Some Problems of Supersonic Cavitation Flows , 2001 .

[7]  Cristopher D. Moen,et al.  Elastic buckling of thin plates with holes in compression or bending , 2009 .

[8]  Jaroslaw Sobieszczanski-Sobieski,et al.  Multidisciplinary optimization of a transport aircraft wing using particle swarm optimization , 2002 .

[9]  Jungsoo Yoon,et al.  Study on self-pulsation characteristics of gas centered shear coaxial injector for supercavitating underwater propulsion system , 2011 .

[10]  S. Kim,et al.  Multifrontal Solver Combined with Graph Partitioners , 1999 .

[11]  Massimo Ruzzene,et al.  Dynamic buckling of periodically stiffened shells: application to supercavitating vehicles , 2004 .

[12]  Massimo Ruzzene,et al.  Non-axisymmetric buckling of stiffened supercavitating shells: Static and dynamic analysis , 2004 .

[13]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[14]  B J Fregly,et al.  Parallel global optimization with the particle swarm algorithm , 2004, International journal for numerical methods in engineering.

[15]  W. Flügge.  Stresses in Shells , 1960 .

[16]  V. V. Bolotin,et al.  The Dynamic Stability of Elastic Systems , 1966 .

[17]  A. W. Burner,et al.  Photogrammetry Applied to Wind Tunnel Testing , 2000 .