Optimal flapping strokes for self-propulsion in a perfect fluid

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 4118-4122

  Ross, Shane D ^a  

^a University of Southern California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; OPTIMIZATION; PROPULSION;

FLAPPING STROKES; LOCOMOTIVE EFFICIENCY;

BIPED LOCOMOTION;

EID: 34047221118     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (31)

1. Avron, J. E., Gat, O., Kenneth, O., 2004. Optimal swimming at low Reynolds numbers. Physical Review Letters 93, 186001.
2. Bloch, A. M., Krishnaprasad, P. S., Marsden, J. E., Murray, R. M., 1996. Nonholonomic mechanical systems with symmetry. Arch. Rat. Mech. Anal. 136, 21-99.
3. Borisov, A. V., Mamaev, I. S., 2003. An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Reg. and Chaotic Dynamics 8, 163-166.
4. Cendra, H., Marsden, J. E., Ratiu, T. S., 2001. Lagrangian reduction by stages. Vol. 152 of Memoirs. American Mathematical Society, Providence, RI.
5. Chang, D. E., Shadden, S., Marsden, J. E., Olfati-Saber, R., 2003. Collision avoidance for multiple agent systems, in Proc. CDC 42, 539-543.
6. ω. J. Fluid Mech. 498, 257-288.
7. Combes, S. A., Daniel, T. L., 2001. Shape, flapping and flexion: wing and fin design for forward flight. J. Exp. Biol. 204, 2073-2085.
8. Dickinson, M. H., Parley, C. T., Full, R. J., Koehl, M. A. R., Kram, R., Lehman, S., 2000. How animals move: An integrative view. Science. 288, 100-106.
9. Dimock, G., Selig, M., 2003. The aerodynamic benefits of self-organization in bird flocks, in 41st AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Paper No. AIAA 2003-0608.
10. Eldredge, J. D., 2005. Efficient tools for the simulation of flapping wing flows, in 43rd AIAA Aerospace Sciences Meeting, Reno, NV, Paper No. AIAA 2005-0085.
11. Gill, P. E., Jay, L. O., Leonard, M. W., Petzold, L. R., Sharma, V., 2000. An SQP method for the optimal control of large-scale dynamical systems. J. Comp. Appl. Math. 20, 197-213.
12. Inanc, T., Shadden, S. C., Marsden, J. E., 2005. Optimal trajectory generation in ocean flows, in Proc. ACC 2005, 674-679.
13. Junge, O., Marsden, J. E., Ober-Blobaum, S., 2005. Discrete optimal control, in Proc. IFAC Conf., Prague.
14. Kanso, E., Marsden, J. E., 2005. Optimal motion of an articulated body in a perfect fluid, in Proc. CDC 44, 2511-2516
15. Kanso, E., Marsden, J. E., Rowley, C. W., Melli-Huber, J., 2005. Locomotion of articulated bodies in a perfect fluid. J. Nonl Sci. 15, 255-289.
16. Kelly, S. D., 1998. The mechanics and control of robotic locomotion with applications to aquatic vehicles. Ph.D. thesis, California Institute of Technology.
17. Liao, J. C., Beal, D. N., Lauder, G. V., Triantafyllou, M. S., 2003. Fish exploiting vortices decrease muscle activity. Science 302, 1566-1569.
18. Marsden, J. E., 1992. Lectures on Mechanics. Vol. 174 of London Math. Soc. Lecture Note Ser. Cambridge University Press.
19. Marsden, J. E., Ratiu, T. S., 1999. Introduction to Mechanics and Symmetry. Vol. 17 of Texts in Applied Mathematics. Springer-Verlag, New York.
20. Newman, J. N., 1977. Marine Hydrodynamics. Vol. 145. MIT Press, Cambridge, MA.
21. Newton, P. K., 2001. The N-Vortex Problem: Analytical Techniques. Vol. 145 of Appl. Math. Sci. Series. Springer-Verlag, Berlin-Heidelberg-New York.
22. Oh, Y. G., Sreenath, N., Krishnaprasad, P. S., Marsden, J. E., 1989. The dynamics of coupled planar rigid bodies. Part 2: Bifurcations, periodic solutions and chaos. Dynamics and Diff. Eq'ns 1, 269-298.
23. Radford, J., 2003. Symmetry, reduction and swimming in a perfect fluid. Ph.D. thesis, California Institute of Technology.
24. Saffman, P. G., 1967. The self-propulsion of a deformable body in a perfect fluid. J. Fluid Mech. 28, 385-389.
25. Serban, R., Petzold, L. R., 2001. COOPT - a software package for optimal control of large-scale differential-algebraic equation systems. Mathematics and Computers in Simulation 56, 187-203.
26. Shapere, A., Wilczek, F., 1989. Geometry of self-propulsion at low Reynolds number. J. Fluid Mech. 198, 557-585.
27. Shashikanth, B. N., Marsden, J. E., Burdick, J. W., Kelly, S. D., 2002. The Hamiltonian structure of a 2D rigid circular cylinder interacting dynamically with n point vortices. Phys. of Fluids 14, 1214-1227.
28. Spedding, G. R., 2003. Comparing fluid mechanics models with experimental data. Phil. Trans. R. Soc. Lond. B 358, 1567-1576.
29. Sreenath, N., Oh, Y. G., Krishnaprasad, P. S., Marsden, J. E., 1988. The dynamics of coupled planar rigid bodies. Part 1: Reduction, equilibria and stability. Dyn. and Stab. of Systems 3, 25-49.
30. Walker, J. A., Westneat, M. W., 1997. Labriform propulsion in fishes: kinematics of flapping aquatic flight in the bird wrasse Gomphosus varius (Labridae). J. Exp. Biol. 200, 1549-1569.
31. Zhang, F., Leonard, N., 2005. Generating contour plots using multiple sensor platforms, in Proc. of 2005 IEEE Swarm Intelligence Symposium, 309-314.